Details

analyze2.3s (15%)

Algorithm

1×	search
2×	egg-herbie

Rules

489×	`neg-mul-1_binary64`
432×	`+-commutative_binary64`
427×	`cancel-sign-sub_binary64`
414×	`associate-+l+_binary64`
395×	`associate-+r+_binary64`
365×	`cancel-sign-sub-inv_binary64`
358×	`sub-neg_binary64`
352×	`distribute-lft-out--_binary64`
337×	`neg-sub0_binary64`
329×	`distribute-lft-neg-in_binary64`
314×	`associate-+l-_binary64`
266×	`distribute-neg-in_binary64`
244×	`unsub-neg_binary64`
206×	`remove-double-neg_binary64`
205×	`distribute-rgt-neg-in_binary64`
197×	`associate-+r-_binary64`
187×	`distribute-lft-neg-out_binary64`
178×	`distribute-rgt-neg-out_binary64`
174×	`associate--l+_binary64`
172×	`div-sub_binary64`
152×	`associate--r+_binary64`
116×	`*-commutative_binary64`
108×	`sub0-neg_binary64`
106×	`associate-/l*_binary64`
95×	`associate--r-_binary64`
88×	`distribute-frac-neg_binary64`
84×	`distribute-neg-frac_binary64`
76×	`+-rgt-identity_binary64`
74×	`distribute-rgt-in_binary64`
56×	`associate-/r/_binary64`
53×	`--rgt-identity_binary64`
46×	`associate-r_binary64`
44×	`distribute-lft-in_binary64`
38×	`associate--l-_binary64`
34×	`associate-l_binary64`
33×	`associate-*l/_binary64`
21×	`div0_binary64`
19×	`distribute-neg-out_binary64`
14×	`mul0-rgt_binary64` `mul0-lft_binary64`
4×	`distribute-rgt-out_binary64`
1×	`1-exp_binary64` `swap-x-y` `swap-z-t` `swap-a-b`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `+-lft-identity_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r_binary64` `associate-*r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	550
1	303	550
2	841	550
3	1682	550
4	3422	550
5	4220	550
6	4296	550
7	5256	550
0	7	7
1	7	7

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.2%	98.5%	0.3%	13
1.8%	97.9%	0.3%	14

Symmetry

(sort x y)

(sort z t)

(sort a b)

Compiler

Compiled 18 to 18 computations (0% saved)

sample69.0ms (0.4%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
8.0ms	148×	body	128	invalid

Compiler

Compiled 35 to 42 computations (-20% saved)

simplify84.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

258×	`cancel-sign-sub-inv_binary64`
149×	`sub-neg_binary64`
148×	`distribute-rgt-in_binary64`
133×	`unsub-neg_binary64`
120×	`associate--r+_binary64`
93×	`distribute-rgt-neg-in_binary64`
91×	`associate-/l*_binary64`
81×	`distribute-neg-in_binary64`
80×	`associate--l+_binary64`
55×	`neg-mul-1_binary64` `associate--r-_binary64`
52×	`distribute-lft-neg-in_binary64`
51×	`associate-+l-_binary64`
49×	`distribute-lft-neg-out_binary64`
48×	`neg-sub0_binary64`
46×	`*-commutative_binary64`
45×	`associate-+r+_binary64`
43×	`distribute-neg-frac_binary64`
41×	`+-commutative_binary64`
40×	`div-sub_binary64`
36×	`associate-/r*_binary64`
35×	`associate-l_binary64`
33×	`distribute-lft-in_binary64` `associate-r_binary64`
32×	`cancel-sign-sub_binary64` `associate-+l+_binary64`
27×	`associate--l-_binary64`
26×	`distribute-rgt-neg-out_binary64`
23×	`associate-*l/_binary64`
20×	`mul0-rgt_binary64`
19×	`sub0-neg_binary64` `associate-/r/_binary64`
17×	`*-rgt-identity_binary64` `remove-double-neg_binary64` `associate-+r-_binary64`
16×	`mul0-lft_binary64` `associate-*r/_binary64`
15×	`*-lft-identity_binary64` `associate-/l/_binary64`
11×	`+-lft-identity_binary64`
8×	`div0_binary64`
6×	`--rgt-identity_binary64` `+-rgt-identity_binary64`
3×	`distribute-neg-out_binary64` `distribute-lft-out--_binary64`
2×	`/-rgt-identity_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `mul-1-neg_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	25
1	33	25
2	73	25
3	138	25
4	266	25
5	499	25
6	678	25
7	867	25
8	1013	25
9	1033	25
10	1043	25
11	1044	25
12	1044	25
13	1044	25
14	937	25

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

0.0b

Counts

1 → 1

Compiler

Compiled 17 to 17 computations (0% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
0.0b	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)

rewrite87.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-log-exp_binary64`
14×	`cancel-sign-sub-inv_binary64`
13×	`*-un-lft-identity_binary64`
9×	`associate-+l+_binary64`
8×	`add-sqr-sqrt_binary64`
6×	`add-cube-cbrt_binary64` `times-frac_binary64`
5×	`sum-log_binary64`
4×	`diff-log_binary64`
2×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `distribute-lft-out--_binary64` `sub-neg_binary64` `div-inv_binary64` `associate--l+_binary64` `frac-sub_binary64`
1×	`associate-+l-_binary64` `+-commutative_binary64` `flip3--_binary64` `flip--_binary64` `difference-of-squares_binary64`

Counts

2 → 49

Calls

2 calls:

14.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
11.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))

Compiler

Compiled 1391 to 669 computations (51.9% saved)

series259.0ms (1.7%)

Error

0.0b

Counts

2 → 78

Calls

2 calls:

131.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
105.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))

Compiler

Compiled 1763 to 1824 computations (-3.5% saved)

simplify115.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

674×	`times-frac_binary64`
497×	`associate-l_binary64`
423×	`distribute-rgt-in_binary64`
396×	`distribute-lft-in_binary64`
291×	`associate-*l/_binary64`
257×	`associate-*r/_binary64`
178×	`associate-/l*_binary64`
124×	`cancel-sign-sub-inv_binary64`
99×	`exp-prod_binary64` `distribute-rgt-neg-in_binary64`
78×	`distribute-lft-neg-in_binary64`
76×	`sub-neg_binary64`
64×	`*-commutative_binary64`
60×	`distribute-neg-frac_binary64`
56×	`+-commutative_binary64`
54×	`exp-sum_binary64` `neg-mul-1_binary64` `neg-sub0_binary64`
51×	`associate-/r/_binary64`
48×	`cube-prod_binary64`
44×	`associate-r_binary64`
43×	`distribute-lft-neg-out_binary64`
36×	`sqr-pow_binary64` `associate-/l/_binary64`
35×	`cube-div_binary64`
33×	`distribute-neg-in_binary64`
25×	`exp-diff_binary64`
23×	`unpow3_binary64` `associate-/r*_binary64`
21×	`cube-mult_binary64` `associate--l+_binary64`
20×	`distribute-rgt-neg-out_binary64`
19×	`div-exp_binary64` `associate-+l+_binary64`
18×	`prod-exp_binary64` `unsub-neg_binary64`
14×	`distribute-rgt-out_binary64`
12×	`swap-sqr_binary64`
11×	`cube-unmult_binary64` `associate-+r+_binary64`
9×	`div-sub_binary64` `distribute-rgt-out--_binary64`
8×	`associate-+r-_binary64`
6×	`distribute-lft-out_binary64` `associate-+l-_binary64`
5×	`difference-of-squares_binary64`
4×	`+-rgt-identity_binary64` `unswap-sqr_binary64` `distribute-frac-neg_binary64` `associate--r+_binary64`
3×	`sqr-neg_binary64` `*-rgt-identity_binary64`
2×	`exp-sqrt_binary64` `cube-neg_binary64` `rem-sqrt-square_binary64` `remove-double-neg_binary64` `distribute-lft-out--_binary64`
1×	`1-exp_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_binary64` `div0_binary64` `pow-sqr_binary64` `distribute-neg-out_binary64` `associate--r-_binary64` `associate--l-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `mul-1-neg_binary64` `-lft-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

127 → 102

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	143	2700
1	402	2633
2	1188	2585
3	4589	2585
4	5917	2585

prune46.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	99	3	102
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	99	4	103

Error

0.0b

Counts

103 → 4

Compiler

Compiled 1012 to 491 computations (51.5% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (.f64 a b) -1/4) (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)))) (sqrt.f64 (+.f64 (.f64 (.f64 a b) -1/4) (+.f64 (.f64 x y) (/.f64 (*.f64 t z) 16))))) c)
0.2b	(.f64 (sqrt.f64 (+.f64 (.f64 (.f64 a b) -1/4) (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)))) (sqrt.f64 (+.f64 (.f64 (.f64 a b) -1/4) (+.f64 (.f64 x y) (/.f64 (*.f64 t z) 16)))))
0.3b	(sqrt.f64 (+.f64 (.f64 (.f64 a b) -1/4) (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16))))
0.3b	(sqrt.f64 (+.f64 (.f64 (.f64 a b) -1/4) (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16))))

rewrite195.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

30×	`add-sqr-sqrt_binary64`
24×	`sqrt-prod_binary64`
21×	`pow1_binary64`
16×	`sqrt-div_binary64`
14×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
10×	`pow1/2_binary64` `sqrt-pow1_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
8×	`swap-sqr_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64` `associate-r_binary64`
5×	`pow-prod-up_binary64`
4×	`rem-sqrt-square_binary64` `frac-times_binary64` `unswap-sqr_binary64`
3×	`pow-prod-down_binary64` `pow-sqr_binary64`
2×	`associate-l/_binary64` `associate-r/_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `sqrt-unprod_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `*-commutative_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

4 → 99

Calls

4 calls:

23.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 (.f64 a b) -1/4) (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)))) (sqrt.f64 (+.f64 (.f64 (.f64 a b) -1/4) (+.f64 (.f64 x y) (/.f64 (*.f64 t z) 16)))))
23.0ms	(+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (.f64 a b) -1/4) (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)))) (sqrt.f64 (+.f64 (.f64 (.f64 a b) -1/4) (+.f64 (.f64 x y) (/.f64 (*.f64 t z) 16))))) c)
10.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 a b) -1/4) (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16))))
9.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 a b) -1/4) (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16))))

Compiler

Compiled 4805 to 2326 computations (51.6% saved)

series445.0ms (2.9%)

Error

0.0b

Counts

4 → 122

Calls

4 calls:

136.0ms	(+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (.f64 a b) -1/4) (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)))) (sqrt.f64 (+.f64 (.f64 (.f64 a b) -1/4) (+.f64 (.f64 x y) (/.f64 (*.f64 t z) 16))))) c)
114.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 (.f64 a b) -1/4) (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)))) (sqrt.f64 (+.f64 (.f64 (.f64 a b) -1/4) (+.f64 (.f64 x y) (/.f64 (*.f64 t z) 16)))))
86.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 a b) -1/4) (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16))))
86.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 a b) -1/4) (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16))))

Compiler

Compiled 5441 to 4558 computations (16.2% saved)

simplify194.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

547×	`distribute-rgt-in_binary64`
510×	`distribute-lft-in_binary64`
282×	`cancel-sign-sub-inv_binary64`
204×	`associate-+l+_binary64`
166×	`associate-+r+_binary64`
112×	`associate-l_binary64`
103×	`associate-r_binary64`
95×	`distribute-rgt-neg-in_binary64`
89×	`exp-prod_binary64`
78×	`cube-prod_binary64` `distribute-lft-neg-in_binary64`
69×	`*-commutative_binary64`
66×	`exp-sum_binary64`
61×	`associate--l+_binary64`
60×	`associate--r+_binary64`
58×	`associate-l/_binary64` `associate-r/_binary64`
48×	`sub-neg_binary64`
37×	`associate-+l-_binary64`
36×	`distribute-lft-neg-out_binary64`
34×	`distribute-neg-in_binary64`
31×	`distribute-lft-out_binary64` `associate-+r-_binary64` `+-commutative_binary64`
30×	`distribute-rgt-neg-out_binary64`
28×	`exp-diff_binary64` `sqr-pow_binary64`
27×	`log-prod_binary64` `neg-mul-1_binary64` `neg-sub0_binary64`
25×	`swap-sqr_binary64`
22×	`unswap-sqr_binary64`
20×	`distribute-rgt-out_binary64`
17×	`unpow3_binary64`
16×	`unsub-neg_binary64`
14×	`associate-/l*_binary64`
13×	`cube-mult_binary64` `associate--r-_binary64`
11×	`distribute-neg-frac_binary64`
10×	`rem-sqrt-square_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64`
9×	`pow-plus_binary64`
8×	`rem-square-sqrt_binary64` `-rgt-identity_binary64` `-lft-identity_binary64`
6×	`associate-/r/_binary64`
5×	`cube-unmult_binary64`
4×	`log-pow_binary64` `pow-sqr_binary64` `distribute-neg-out_binary64` `associate--l-_binary64`
2×	`difference-of-squares_binary64` `count-2_binary64`
1×	`unpow1/2_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-/l/_binary64` `associate-/r_binary64`

Counts

221 → 166

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	142	5862
1	331	5561
2	1114	5395
3	4744	5367
4	4988	5367

prune89.0ms (0.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	166	0	166
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	166	4	170

Error

0.0b

Counts

170 → 4

Compiler

Compiled 2811 to 1362 computations (51.5% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.7b	(.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)) (+.f64 (.f64 1/4 (.f64 a b)) (+.f64 (.f64 x y) (/.f64 (*.f64 t z) 16))))
2.2b	(+.f64 (/.f64 (.f64 (.f64 a b) (.f64 a b)) 16) (.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)) (+.f64 (.f64 1/4 (.f64 a b)) (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)))))
2.7b	(-.f64 (pow.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)) 3) (pow.f64 (.f64 1/4 (.f64 a b)) 3))
38.5b	(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)) 3) (pow.f64 (.f64 1/4 (.f64 a b)) 3)) (+.f64 (/.f64 (.f64 (.f64 a b) (.f64 a b)) 16) (.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)) (+.f64 (.f64 1/4 (.f64 a b)) (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16))))))

rewrite410.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

77×	`add-sqr-sqrt_binary64`
40×	`difference-of-squares_binary64`
39×	`times-frac_binary64`
35×	`*-un-lft-identity_binary64`
31×	`sqr-pow_binary64`
25×	`add-cube-cbrt_binary64`
20×	`flip3-+_binary64` `flip-+_binary64`
16×	`frac-add_binary64`
13×	`associate-/l*_binary64`
12×	`frac-times_binary64`
11×	`unpow-prod-down_binary64` `cube-prod_binary64`
10×	`associate-/r/_binary64`
8×	`add-exp-log_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64` `cancel-sign-sub-inv_binary64`
6×	`pow1_binary64` `associate-l/_binary64` `associate-r/_binary64`
5×	`difference-cubes_binary64` `distribute-lft-out--_binary64`
3×	`associate-/r_binary64` `associate-l_binary64` `associate-r*_binary64`
2×	`flip3--_binary64` `associate-/l/_binary64` `flip--_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64` `distribute-lft-in_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64` `diff-log_binary64` `sub-neg_binary64` `unpow3_binary64` `cube-mult_binary64` `sum-log_binary64` `+-commutative_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

4 → 158

Calls

4 calls:

32.0ms	(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)) 3) (pow.f64 (.f64 1/4 (.f64 a b)) 3)) (+.f64 (/.f64 (.f64 (.f64 a b) (.f64 a b)) 16) (.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)) (+.f64 (.f64 1/4 (.f64 a b)) (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16))))))
22.0ms	(.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)) (+.f64 (.f64 1/4 (.f64 a b)) (+.f64 (.f64 x y) (/.f64 (*.f64 t z) 16))))
17.0ms	(-.f64 (pow.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)) 3) (pow.f64 (.f64 1/4 (.f64 a b)) 3))
13.0ms	(+.f64 (/.f64 (.f64 (.f64 a b) (.f64 a b)) 16) (.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)) (+.f64 (.f64 1/4 (.f64 a b)) (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)))))

Compiler

Compiled 14117 to 6466 computations (54.2% saved)

series2.4s (15.7%)

Error

0.0b

Counts

4 → 168

Calls

4 calls:

1.2s	(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)) 3) (pow.f64 (.f64 1/4 (.f64 a b)) 3)) (+.f64 (/.f64 (.f64 (.f64 a b) (.f64 a b)) 16) (.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)) (+.f64 (.f64 1/4 (.f64 a b)) (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16))))))
506.0ms	(+.f64 (/.f64 (.f64 (.f64 a b) (.f64 a b)) 16) (.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)) (+.f64 (.f64 1/4 (.f64 a b)) (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)))))
313.0ms	(-.f64 (pow.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)) 3) (pow.f64 (.f64 1/4 (.f64 a b)) 3))
291.0ms	(.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)) (+.f64 (.f64 1/4 (.f64 a b)) (+.f64 (.f64 x y) (/.f64 (*.f64 t z) 16))))

Compiler

Compiled 25347 to 17825 computations (29.7% saved)

simplify404.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

389×	`associate-/l*_binary64`
329×	`distribute-rgt-in_binary64`
317×	`distribute-lft-in_binary64`
202×	`*-commutative_binary64`
159×	`times-frac_binary64`
147×	`associate-/r*_binary64`
117×	`+-commutative_binary64`
110×	`associate-r_binary64`
102×	`sub-neg_binary64`
96×	`cancel-sign-sub-inv_binary64`
68×	`associate-+r+_binary64`
64×	`sqr-pow_binary64`
54×	`div-sub_binary64`
46×	`associate-/l/_binary64`
41×	`distribute-rgt-neg-in_binary64`
38×	`associate-/r/_binary64`
32×	`distribute-lft-neg-in_binary64` `associate-*r/_binary64`
29×	`neg-mul-1_binary64`
28×	`neg-sub0_binary64`
26×	`distribute-neg-in_binary64`
24×	`unswap-sqr_binary64`
23×	`cube-prod_binary64`
19×	`unpow3_binary64` `associate-l_binary64`
18×	`cube-mult_binary64`
15×	`swap-sqr_binary64`
14×	`distribute-lft-neg-out_binary64`
13×	`exp-prod_binary64`
12×	`/-rgt-identity_binary64`
10×	`unpow2_binary64` `unpow1_binary64` `associate--l+_binary64`
9×	`difference-of-squares_binary64` `distribute-neg-frac_binary64`
7×	`associate--r+_binary64`
6×	`exp-sum_binary64`
5×	`distribute-rgt-out_binary64`
4×	`cube-div_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out_binary64` `associate-*l/_binary64`
3×	`log-prod_binary64` `cube-unmult_binary64` `associate-+r-_binary64`
2×	`log-div_binary64` `exp-diff_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `pow-sqr_binary64`
1×	`pow-plus_binary64` `div-exp_binary64` `prod-exp_binary64` `1-exp_binary64` `rem-cbrt-cube_binary64` `unsub-neg_binary64` `*-rgt-identity_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow1/2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+l+_binary64`

Counts

326 → 280

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	602	25957
1	1796	25396
2	5008	25396

prune294.0ms (1.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	279	1	280
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	280	4	284

Error

Counts

284 → 4

Compiler

Compiled 15131 to 6557 computations (56.7% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.2b	(+.f64 (/.f64 (.f64 (.f64 a b) (.f64 a b)) 16) (cbrt.f64 (pow.f64 (.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)) (+.f64 (.f64 1/4 (.f64 a b)) (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)))) 3)))
2.7b	(-.f64 (pow.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)) 3) (pow.f64 (.f64 1/4 (.f64 a b)) 3))
24.0b	(cbrt.f64 (pow.f64 (.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)) (+.f64 (.f64 1/4 (.f64 a b)) (+.f64 (.f64 x y) (/.f64 (*.f64 t z) 16)))) 3))
38.5b	(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)) 3) (pow.f64 (.f64 1/4 (.f64 a b)) 3)) (+.f64 (/.f64 (.f64 (.f64 a b) (.f64 a b)) 16) (cbrt.f64 (pow.f64 (.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)) (+.f64 (.f64 1/4 (.f64 a b)) (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)))) 3))))

rewrite396.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

85×	`add-sqr-sqrt_binary64`
67×	`*-un-lft-identity_binary64`
52×	`times-frac_binary64`
48×	`difference-of-squares_binary64`
38×	`sqr-pow_binary64`
25×	`add-cube-cbrt_binary64`
24×	`cube-div_binary64` `cbrt-div_binary64`
20×	`flip3-+_binary64` `flip-+_binary64`
16×	`frac-add_binary64`
15×	`distribute-lft-out_binary64`
14×	`unpow-prod-down_binary64` `cube-prod_binary64`
13×	`associate-/l*_binary64`
12×	`frac-times_binary64`
10×	`associate-/r/_binary64`
8×	`add-log-exp_binary64` `cbrt-prod_binary64` `cancel-sign-sub-inv_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-cubes_binary64` `distribute-lft-out--_binary64` `associate-l/_binary64` `associate-r/_binary64`
4×	`pow1_binary64` `associate-/r*_binary64`
2×	`flip3--_binary64` `associate-/l/_binary64` `flip--_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64` `pow1/3_binary64` `rem-cbrt-cube_binary64` `diff-log_binary64` `sub-neg_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

4 → 168

Calls

4 calls:

38.0ms	(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)) 3) (pow.f64 (.f64 1/4 (.f64 a b)) 3)) (+.f64 (/.f64 (.f64 (.f64 a b) (.f64 a b)) 16) (cbrt.f64 (pow.f64 (.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)) (+.f64 (.f64 1/4 (.f64 a b)) (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)))) 3))))
17.0ms	(+.f64 (/.f64 (.f64 (.f64 a b) (.f64 a b)) 16) (cbrt.f64 (pow.f64 (.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)) (+.f64 (.f64 1/4 (.f64 a b)) (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)))) 3)))
16.0ms	(-.f64 (pow.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)) 3) (pow.f64 (.f64 1/4 (.f64 a b)) 3))
5.0ms	(cbrt.f64 (pow.f64 (.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)) (+.f64 (.f64 1/4 (.f64 a b)) (+.f64 (.f64 x y) (/.f64 (*.f64 t z) 16)))) 3))

Compiler

Compiled 14611 to 7082 computations (51.5% saved)

series2.4s (15.7%)

Error

Counts

4 → 168

Calls

4 calls:

1.2s	(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)) 3) (pow.f64 (.f64 1/4 (.f64 a b)) 3)) (+.f64 (/.f64 (.f64 (.f64 a b) (.f64 a b)) 16) (cbrt.f64 (pow.f64 (.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)) (+.f64 (.f64 1/4 (.f64 a b)) (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)))) 3))))
508.0ms	(+.f64 (/.f64 (.f64 (.f64 a b) (.f64 a b)) 16) (cbrt.f64 (pow.f64 (.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)) (+.f64 (.f64 1/4 (.f64 a b)) (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)))) 3)))
310.0ms	(-.f64 (pow.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)) 3) (pow.f64 (.f64 1/4 (.f64 a b)) 3))
289.0ms	(cbrt.f64 (pow.f64 (.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)) (+.f64 (.f64 1/4 (.f64 a b)) (+.f64 (.f64 x y) (/.f64 (*.f64 t z) 16)))) 3))

Compiler

Compiled 25518 to 17996 computations (29.5% saved)

simplify558.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

383×	`associate-/l*_binary64`
266×	`distribute-rgt-in_binary64`
255×	`distribute-lft-in_binary64`
197×	`*-commutative_binary64`
159×	`times-frac_binary64`
147×	`associate-/r*_binary64`
114×	`+-commutative_binary64`
102×	`sub-neg_binary64`
101×	`sqr-pow_binary64`
93×	`cancel-sign-sub-inv_binary64`
90×	`associate-r_binary64`
68×	`associate-+r+_binary64`
59×	`exp-prod_binary64`
54×	`unpow3_binary64` `div-sub_binary64`
47×	`cube-prod_binary64`
46×	`associate-/l/_binary64`
40×	`cube-mult_binary64`
38×	`distribute-rgt-neg-in_binary64` `associate-/r/_binary64`
37×	`swap-sqr_binary64`
32×	`associate-*r/_binary64`
31×	`distribute-lft-neg-in_binary64`
29×	`neg-mul-1_binary64`
28×	`neg-sub0_binary64`
26×	`distribute-neg-in_binary64`
24×	`unswap-sqr_binary64`
20×	`rem-cbrt-cube_binary64`
17×	`associate-l_binary64`
13×	`distribute-lft-neg-out_binary64`
12×	`/-rgt-identity_binary64`
10×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `associate--l+_binary64`
9×	`difference-of-squares_binary64` `distribute-neg-frac_binary64`
7×	`associate--r+_binary64`
5×	`distribute-rgt-out_binary64`
4×	`log-prod_binary64` `cube-div_binary64` `distribute-lft-out_binary64` `associate-*l/_binary64`
3×	`log-div_binary64` `cube-unmult_binary64` `rem-sqrt-square_binary64` `distribute-rgt-out--_binary64` `associate-+r-_binary64`
2×	`exp-diff_binary64` `exp-sum_binary64` `rem-square-sqrt_binary64` `pow-sqr_binary64`
1×	`pow-plus_binary64` `div-exp_binary64` `prod-exp_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `unsub-neg_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+l+_binary64`

Counts

336 → 296

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	629	27670
1	1828	27109
2	4925	27109
3	5000	27109

prune275.0ms (1.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	296	0	296
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	296	4	300

Error

Counts

300 → 4

Compiler

Compiled 15442 to 6741 computations (56.3% saved)

regimes2.7s (17.7%)

Accuracy

Total 0.0b remaining (6.4%)

Threshold costs 0.0b (6.4%)

Compiler

Compiled 60359 to 41121 computations (31.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64` `+-commutative_binary64`
5×	`sub-neg_binary64`
4×	`neg-mul-1_binary64` `neg-sub0_binary64`
2×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
1×	`distribute-neg-frac_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	25
1	25	25
2	32	25
3	42	25
4	49	25
5	54	25
6	56	25
7	56	25

end45.0ms (0.3%)

Remove

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 119 to 119 computations (0% saved)

sample1.5s (9.7%)

Algorithm

1×

intervals

Results

457.0ms	8000×	body	128	valid
222.0ms	3891×	body	128	invalid

Compiler

Compiled 170 to 168 computations (1.2% saved)

Details

analyze2.3s (15%)

sample69.0ms (0.4%)

simplify84.0ms (0.5%)

prune1.0ms (0%)

localize13.0ms (0.1%)

rewrite87.0ms (0.6%)

series259.0ms (1.7%)

simplify115.0ms (0.7%)

prune46.0ms (0.3%)

localize19.0ms (0.1%)

rewrite195.0ms (1.3%)

series445.0ms (2.9%)

simplify194.0ms (1.3%)

prune89.0ms (0.6%)

localize25.0ms (0.2%)

rewrite410.0ms (2.7%)

series2.4s (15.7%)

simplify404.0ms (2.6%)

prune294.0ms (1.9%)

localize26.0ms (0.2%)

rewrite396.0ms (2.6%)

series2.4s (15.7%)

simplify558.0ms (3.6%)

prune275.0ms (1.8%)

regimes2.7s (17.7%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end45.0ms (0.3%)

sample1.5s (9.7%)

Profiling