Details

analyze346.0ms (7.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

750×	`unsub-neg_binary64`
558×	`neg-mul-1_binary64`
556×	`neg-sub0_binary64`
374×	`times-frac_binary64`
359×	`div-sub_binary64`
304×	`distribute-rgt-in_binary64`
294×	`sub-neg_binary64`
248×	`distribute-neg-out_binary64`
242×	`distribute-lft-in_binary64`
232×	`distribute-frac-neg_binary64`
212×	`associate-l_binary64`
195×	`associate-r_binary64`
152×	`associate-+r+_binary64`
134×	`associate-+l+_binary64`
132×	`associate-/l*_binary64`
117×	`associate-/r*_binary64`
100×	`distribute-neg-in_binary64`
86×	`distribute-neg-frac_binary64`
76×	`distribute-rgt-neg-out_binary64`
70×	`associate-+l-_binary64`
68×	`distribute-lft-neg-out_binary64`
64×	`associate-*l/_binary64`
58×	`associate-+r-_binary64`
50×	`distribute-rgt-out_binary64`
40×	`associate-*r/_binary64`
38×	`*-rgt-identity_binary64`
36×	`associate-/r/_binary64`
32×	`cancel-sign-sub-inv_binary64`
28×	`*-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `+-commutative_binary64`
26×	`associate-/l/_binary64` `*-commutative_binary64`
22×	`/-rgt-identity_binary64`
20×	`sub0-neg_binary64` `+-rgt-identity_binary64`
18×	`mul-1-neg_binary64` `associate--l+_binary64`
12×	`sqr-neg_binary64` `associate--l-_binary64` `associate--r+_binary64`
10×	`distribute-lft-neg-in_binary64`
8×	`distribute-rgt1-in_binary64`
6×	`distribute-rgt-neg-in_binary64` `distribute-lft1-in_binary64`
4×	`remove-double-neg_binary64` `div0_binary64` `swap-sqr_binary64` `associate--r-_binary64`
2×	`--rgt-identity_binary64` `remove-double-div_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` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `+-lft-identity_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	38
1	32	38
2	82	38
3	203	38
4	663	38
5	2649	38
6	3967	38
7	4946	38
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	12.5%	87.5%	0
0%	12.5%	87.5%	1
0%	12.5%	87.5%	2
3.1%	9.3%	87.5%	3
3.1%	6.2%	90.7%	4
4.7%	4.7%	90.7%	5
4.7%	3.5%	91.8%	6
5.6%	2.5%	91.8%	7
5.9%	1.8%	92.3%	8
6.4%	1.3%	92.3%	9
6.6%	0.9%	92.5%	10
6.8%	0.6%	92.5%	11
6.9%	0.5%	92.6%	12
7%	0.3%	92.6%	13
7.1%	0.2%	92.7%	14

Compiler

Compiled 23 to 18 computations (21.7% saved)

sample36.0ms (0.7%)

Algorithm

1×

intervals

Results

13.0ms	260×	pre	128	true
9.0ms	256×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 36 to 31 computations (13.9% saved)

simplify99.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1334×	`unsub-neg_binary64`
587×	`sub-neg_binary64`
522×	`div-sub_binary64`
483×	`distribute-neg-out_binary64`
441×	`distribute-rgt-in_binary64`
386×	`neg-mul-1_binary64`
376×	`associate-/l*_binary64`
328×	`neg-sub0_binary64`
323×	`distribute-rgt-out--_binary64`
313×	`distribute-neg-in_binary64`
309×	`distribute-lft-in_binary64`
296×	`distribute-lft-neg-out_binary64`
284×	`distribute-rgt-neg-out_binary64`
224×	`associate--r+_binary64`
219×	`*-commutative_binary64`
209×	`distribute-rgt-neg-in_binary64`
208×	`associate-+l-_binary64`
201×	`distribute-rgt-out_binary64`
182×	`associate-*l/_binary64`
180×	`cancel-sign-sub-inv_binary64`
170×	`+-commutative_binary64`
157×	`associate-/r/_binary64`
149×	`associate-+r-_binary64`
148×	`associate--l+_binary64`
106×	`distribute-lft-neg-in_binary64`
105×	`distribute-neg-frac_binary64`
100×	`associate-l_binary64`
95×	`associate-/l/_binary64`
94×	`associate-r_binary64`
88×	`associate--r-_binary64`
79×	`remove-double-neg_binary64`
76×	`associate-+r+_binary64`
73×	`distribute-rgt1-in_binary64`
67×	`associate-+l+_binary64`
65×	`*-rgt-identity_binary64`
59×	`associate--l-_binary64`
45×	`associate-*r/_binary64`
44×	`associate-/r*_binary64`
39×	`*-lft-identity_binary64`
34×	`distribute-lft1-in_binary64`
33×	`distribute-frac-neg_binary64`
32×	`sub0-neg_binary64`
26×	`mul0-lft_binary64`
25×	`mul0-rgt_binary64`
24×	`mul-1-neg_binary64`
22×	`cancel-sign-sub_binary64`
21×	`distribute-lft-out_binary64`
14×	`+-rgt-identity_binary64`
11×	`--rgt-identity_binary64`
10×	`div0_binary64`
7×	`distribute-lft-out--_binary64`
6×	`/-rgt-identity_binary64`
5×	`cube-prod_binary64`
4×	`sqr-neg_binary64` `sqr-pow_binary64` `difference-of-squares_binary64`
2×	`cube-unmult_binary64` `+-lft-identity_binary64` `swap-sqr_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-mult_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `unswap-sqr_binary64` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	20	19
2	46	19
3	108	19
4	319	19
5	1081	19
6	2911	19
7	3254	19
8	3891	19
9	4728	19
10	4924	19

prune5.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

0.1b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
0.0b	(*.f64 m (-.f64 1 m))
0.0b	(/.f64 (*.f64 m (-.f64 1 m)) v)
0.0b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))

rewrite227.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

33×	`add-sqr-sqrt_binary64`
27×	`*-un-lft-identity_binary64`
15×	`add-cube-cbrt_binary64` `cancel-sign-sub-inv_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`associate-r_binary64`
10×	`associate-l_binary64`
9×	`flip3--_binary64` `flip--_binary64`
8×	`pow1_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `difference-of-squares_binary64`
6×	`add-log-exp_binary64` `associate-*r/_binary64`
5×	`sub-neg_binary64`
4×	`frac-times_binary64` `distribute-lft-out--_binary64`
3×	`prod-exp_binary64` `cbrt-unprod_binary64` `times-frac_binary64` `associate-/r*_binary64`
2×	`pow-prod-down_binary64` `unswap-sqr_binary64` `associate-l/_binary64` `difference-of-sqr-1_binary64` `-commutative_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `associate-/l/_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l*_binary64` `diff-log_binary64`

Counts

4 → 113

Calls

4 calls:

18.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
8.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
7.0ms	(*.f64 m (-.f64 1 m))
7.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

Compiler

Compiled 2418 to 1672 computations (30.9% saved)

series142.0ms (2.9%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

45.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
32.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
24.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
12.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 1170 to 918 computations (21.5% saved)

simplify122.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

772×	`distribute-rgt-in_binary64`
723×	`distribute-lft-in_binary64`
205×	`associate-/l/_binary64`
161×	`associate-l_binary64`
149×	`associate-/r/_binary64`
146×	`exp-prod_binary64`
129×	`associate-r_binary64`
105×	`*-commutative_binary64`
82×	`log-prod_binary64`
79×	`associate-/l*_binary64`
77×	`sub-neg_binary64`
62×	`distribute-rgt-neg-out_binary64`
53×	`distribute-lft-neg-out_binary64`
48×	`+-commutative_binary64`
45×	`associate-*l/_binary64`
40×	`times-frac_binary64`
37×	`log-div_binary64`
35×	`neg-sub0_binary64` `associate-*r/_binary64` `associate--l+_binary64`
34×	`*-lft-identity_binary64`
33×	`div-sub_binary64` `unsub-neg_binary64` `distribute-rgt-neg-in_binary64`
32×	`*-rgt-identity_binary64`
30×	`sqr-pow_binary64`
28×	`neg-mul-1_binary64`
25×	`distribute-lft-neg-in_binary64`
23×	`cancel-sign-sub-inv_binary64`
22×	`swap-sqr_binary64`
21×	`cube-div_binary64`
20×	`cube-prod_binary64` `distribute-neg-in_binary64`
19×	`associate-+l+_binary64`
18×	`associate-/r*_binary64`
16×	`distribute-rgt-out_binary64`
15×	`distribute-neg-frac_binary64`
14×	`exp-sum_binary64` `mul-1-neg_binary64`
13×	`unpow3_binary64` `associate--r+_binary64`
12×	`unswap-sqr_binary64`
10×	`/-rgt-identity_binary64`
9×	`log-rec_binary64` `distribute-rgt1-in_binary64`
8×	`distribute-lft-out_binary64` `associate-+r+_binary64`
7×	`distribute-frac-neg_binary64`
5×	`exp-diff_binary64` `cube-unmult_binary64`
4×	`unpow1/2_binary64` `pow-plus_binary64` `cube-mult_binary64` `distribute-rgt-out--_binary64`
3×	`log-pow_binary64`
2×	`rem-3cbrt-lft_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `associate-+l-_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64` `distribute-lft1-in_binary64` `associate-+r-_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` `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` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sub0-neg_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` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

161 → 137

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	196	2768
1	487	2632
2	1632	2597
3	4748	2592
4	4990	2592

prune112.0ms (2.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	133	4	137
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	133	5	138

Error

Counts

138 → 5

Compiler

Compiled 1693 to 1039 computations (38.6% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 -1 (.f64 (/.f64 m v) (-.f64 1 m))) (.f64 (+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m))) (neg.f64 m)))
0.1b	(*.f64 (/.f64 m v) (-.f64 1 m))
0.1b	(*.f64 (/.f64 m v) (-.f64 1 m))
0.1b	(.f64 (+.f64 -1 (.f64 (/.f64 m v) (-.f64 1 m))) (neg.f64 m))

rewrite244.0ms (5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

46×	`add-sqr-sqrt_binary64`
34×	`*-un-lft-identity_binary64`
29×	`associate-l_binary64`
28×	`add-cube-cbrt_binary64`
22×	`associate-r_binary64`
20×	`times-frac_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`cancel-sign-sub-inv_binary64`
10×	`pow1_binary64`
9×	`add-log-exp_binary64`
8×	`associate-*l/_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
6×	`flip3-+_binary64` `flip-+_binary64`
5×	`prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64`
4×	`flip3--_binary64` `frac-times_binary64` `flip--_binary64` `sub-neg_binary64` `associate-*r/_binary64` `difference-of-squares_binary64` `frac-add_binary64`
3×	`pow-prod-down_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `*-commutative_binary64` `sum-log_binary64`
2×	`distribute-rgt-neg-out_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `distribute-lft-out--_binary64`
1×	`neg-mul-1_binary64` `unsub-neg_binary64` `associate-+l+_binary64` `+-commutative_binary64`

Counts

4 → 140

Calls

4 calls:

13.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))
11.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))
7.0ms	(.f64 (+.f64 -1 (.f64 (/.f64 m v) (-.f64 1 m))) (neg.f64 m))
7.0ms	(+.f64 (+.f64 -1 (.f64 (/.f64 m v) (-.f64 1 m))) (.f64 (+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m))) (neg.f64 m)))

Compiler

Compiled 4498 to 2471 computations (45.1% saved)

series185.0ms (3.8%)

Error

Counts

4 → 51

Calls

4 calls:

49.0ms	(.f64 (+.f64 -1 (.f64 (/.f64 m v) (-.f64 1 m))) (neg.f64 m))
42.0ms	(+.f64 (+.f64 -1 (.f64 (/.f64 m v) (-.f64 1 m))) (.f64 (+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m))) (neg.f64 m)))
27.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))
26.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))

Compiler

Compiled 1942 to 1395 computations (28.2% saved)

simplify147.0ms (3%)

Algorithm

1×	egg-herbie

Rules

722×	`times-frac_binary64`
223×	`exp-prod_binary64`
221×	`distribute-lft-neg-out_binary64`
215×	`distribute-rgt-neg-out_binary64`
205×	`associate-l_binary64`
193×	`associate-r_binary64`
184×	`cancel-sign-sub-inv_binary64`
176×	`log-prod_binary64`
175×	`cube-prod_binary64`
153×	`distribute-rgt-neg-in_binary64`
145×	`distribute-rgt-in_binary64`
136×	`distribute-lft-in_binary64` `*-commutative_binary64`
103×	`sub-neg_binary64`
98×	`unsub-neg_binary64`
90×	`neg-sub0_binary64`
78×	`neg-mul-1_binary64`
69×	`+-commutative_binary64`
68×	`associate-*l/_binary64`
61×	`associate-/l*_binary64`
56×	`unswap-sqr_binary64`
47×	`*-lft-identity_binary64`
45×	`associate-*r/_binary64`
42×	`*-rgt-identity_binary64`
40×	`distribute-neg-in_binary64` `associate--l+_binary64`
37×	`sqr-pow_binary64` `swap-sqr_binary64`
36×	`exp-sum_binary64` `distribute-lft-neg-in_binary64`
34×	`div-sub_binary64` `distribute-neg-frac_binary64`
32×	`exp-diff_binary64`
26×	`associate-+l+_binary64`
24×	`unpow3_binary64`
23×	`log-div_binary64`
22×	`cube-div_binary64`
20×	`mul-1-neg_binary64`
18×	`distribute-frac-neg_binary64` `associate-+r+_binary64`
16×	`remove-double-neg_binary64`
15×	`exp-neg_binary64` `cube-mult_binary64`
14×	`distribute-neg-out_binary64`
13×	`associate--r+_binary64`
10×	`distribute-rgt-out_binary64`
9×	`distribute-rgt-out--_binary64`
8×	`cancel-sign-sub_binary64` `associate-/r*_binary64`
7×	`pow-plus_binary64` `cube-unmult_binary64` `/-rgt-identity_binary64`
5×	`prod-exp_binary64` `difference-of-squares_binary64` `distribute-rgt1-in_binary64` `associate-+r-_binary64`
3×	`log-pow_binary64` `log-rec_binary64` `unpow1/2_binary64` `cube-neg_binary64` `sqr-neg_binary64` `distribute-lft-out--_binary64` `associate-+l-_binary64`
2×	`pow-sqr_binary64` `difference-of-sqr--1_binary64` `associate-/r/_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `+-rgt-identity_binary64` `difference-of-sqr-1_binary64` `distribute-lft1-in_binary64` `distribute-lft-out_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` `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` `div-exp_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sub0-neg_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` `count-2_binary64` `associate-/l/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

191 → 162

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	228	3737
1	636	3386
2	2211	3360
3	4428	3348
4	5019	3348

prune145.0ms (3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	162	0	162
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	162	5	167

Error

Counts

167 → 5

Compiler

Compiled 3119 to 1400 computations (55.1% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (sqrt.f64 m))
0.1b	(*.f64 (/.f64 m v) (-.f64 1 m))
0.1b	(.f64 (.f64 (+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m))) (+.f64 1 (sqrt.f64 m))) (-.f64 1 (sqrt.f64 m)))
0.1b	(.f64 (+.f64 -1 (.f64 (/.f64 m v) (-.f64 1 m))) (+.f64 1 (sqrt.f64 m)))

rewrite262.0ms (5.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

40×	`add-sqr-sqrt_binary64`
35×	`*-un-lft-identity_binary64`
34×	`frac-times_binary64`
25×	`flip3-+_binary64` `flip-+_binary64`
21×	`add-cube-cbrt_binary64`
20×	`associate-r_binary64`
18×	`cancel-sign-sub-inv_binary64`
17×	`associate-l/_binary64` `associate-l*_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`pow1_binary64`
12×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-*r/_binary64`
11×	`sqrt-prod_binary64` `flip3--_binary64` `flip--_binary64`
10×	`times-frac_binary64`
6×	`prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `difference-of-squares_binary64`
5×	`pow-prod-down_binary64`
4×	`distribute-lft-out_binary64` `sub-neg_binary64`
3×	`unswap-sqr_binary64` `*-commutative_binary64` `distribute-lft-out--_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

4 → 154

Calls

4 calls:

16.0ms	(.f64 (.f64 (+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m))) (+.f64 1 (sqrt.f64 m))) (-.f64 1 (sqrt.f64 m)))
10.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))
9.0ms	(.f64 (+.f64 -1 (.f64 (/.f64 m v) (-.f64 1 m))) (+.f64 1 (sqrt.f64 m)))
3.0ms	(+.f64 1 (sqrt.f64 m))

Compiler

Compiled 5071 to 3003 computations (40.8% saved)

series139.0ms (2.8%)

Error

Counts

4 → 31

Calls

4 calls:

44.0ms	(.f64 (.f64 (+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m))) (+.f64 1 (sqrt.f64 m))) (-.f64 1 (sqrt.f64 m)))
36.0ms	(.f64 (+.f64 -1 (.f64 (/.f64 m v) (-.f64 1 m))) (+.f64 1 (sqrt.f64 m)))
26.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))
7.0ms	(+.f64 1 (sqrt.f64 m))

Compiler

Compiled 1373 to 1046 computations (23.8% saved)

simplify213.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

648×	`times-frac_binary64`
447×	`associate-l_binary64`
421×	`distribute-rgt-in_binary64`
404×	`distribute-lft-in_binary64`
366×	`associate-r_binary64`
281×	`*-commutative_binary64`
153×	`log-prod_binary64`
103×	`sub-neg_binary64`
95×	`*-lft-identity_binary64`
74×	`associate-*l/_binary64`
70×	`associate-/l*_binary64`
69×	`*-rgt-identity_binary64`
68×	`neg-sub0_binary64`
64×	`log-div_binary64`
62×	`+-commutative_binary64`
54×	`neg-mul-1_binary64`
51×	`associate-*r/_binary64`
48×	`sqr-pow_binary64`
47×	`unswap-sqr_binary64`
42×	`cube-prod_binary64` `unsub-neg_binary64`
41×	`exp-prod_binary64`
33×	`cancel-sign-sub-inv_binary64`
28×	`distribute-rgt-neg-in_binary64` `associate-+l+_binary64`
26×	`exp-sum_binary64`
23×	`unpow3_binary64`
22×	`distribute-lft-neg-in_binary64`
21×	`mul-1-neg_binary64` `distribute-lft-neg-out_binary64` `associate-+r+_binary64`
20×	`div-sub_binary64` `distribute-rgt-neg-out_binary64`
19×	`associate--l+_binary64`
16×	`associate--r+_binary64`
15×	`swap-sqr_binary64`
13×	`log-rec_binary64`
11×	`cube-div_binary64` `associate-/r*_binary64`
10×	`distribute-neg-in_binary64`
8×	`cube-unmult_binary64`
6×	`unpow1/2_binary64` `pow-plus_binary64` `rem-sqrt-square_binary64` `/-rgt-identity_binary64` `distribute-rgt-out--_binary64`
5×	`log-pow_binary64` `exp-diff_binary64` `cube-mult_binary64` `difference-of-squares_binary64` `distribute-neg-frac_binary64` `distribute-rgt-out_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
4×	`pow-sqr_binary64` `distribute-rgt1-in_binary64`
3×	`difference-of-sqr--1_binary64` `associate-/r/_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `sqr-neg_binary64` `sub0-neg_binary64` `difference-of-sqr-1_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` `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` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

185 → 158

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	310	5211
1	972	4843
2	3502	4827
3	4807	4779
4	4970	4779
5	4980	4779

prune159.0ms (3.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	158	5	163

Error

Counts

163 → 5

Compiler

Compiled 3316 to 1647 computations (50.3% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (/.f64 m v) (-.f64 1 m))
0.1b	(sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m)))
0.1b	(sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v))
0.2b	(.f64 (+.f64 (sqrt.f64 (/.f64 (.f64 m (-.f64 1 m)) v)) 1) (.f64 (-.f64 1 m) (+.f64 -1 (sqrt.f64 (.f64 (/.f64 m v) (-.f64 1 m))))))

rewrite269.0ms (5.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

32×	`frac-times_binary64`
27×	`add-sqr-sqrt_binary64`
23×	`*-un-lft-identity_binary64`
18×	`flip3-+_binary64` `flip-+_binary64` `associate-r/_binary64` `associate-l*_binary64`
17×	`add-cube-cbrt_binary64`
15×	`pow1_binary64`
14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`flip3--_binary64` `flip--_binary64` `times-frac_binary64`
10×	`associate-*l/_binary64`
9×	`sqrt-prod_binary64`
8×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
7×	`associate-r_binary64`
6×	`sqrt-div_binary64` `cancel-sign-sub-inv_binary64`
5×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
4×	`add-log-exp_binary64`
3×	`sqrt-pow1_binary64`
2×	`distribute-lft-out_binary64` `*-commutative_binary64` `pow1/2_binary64` `div-inv_binary64` `unswap-sqr_binary64` `sub-neg_binary64` `difference-of-squares_binary64`
1×	`rem-sqrt-square_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `distribute-lft-out--_binary64`

Counts

4 → 131

Calls

4 calls:

19.0ms	(.f64 (+.f64 (sqrt.f64 (/.f64 (.f64 m (-.f64 1 m)) v)) 1) (.f64 (-.f64 1 m) (+.f64 -1 (sqrt.f64 (.f64 (/.f64 m v) (-.f64 1 m))))))
10.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))
6.0ms	(sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m)))
5.0ms	(sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v))

Compiler

Compiled 5276 to 3598 computations (31.8% saved)

series146.0ms (3%)

Error

Counts

4 → 28

Calls

4 calls:

57.0ms	(.f64 (+.f64 (sqrt.f64 (/.f64 (.f64 m (-.f64 1 m)) v)) 1) (.f64 (-.f64 1 m) (+.f64 -1 (sqrt.f64 (.f64 (/.f64 m v) (-.f64 1 m))))))
27.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))
25.0ms	(sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m)))
23.0ms	(sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v))

Compiler

Compiled 1915 to 1528 computations (20.2% saved)

simplify154.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

478×	`times-frac_binary64`
408×	`distribute-rgt-in_binary64`
392×	`distribute-lft-in_binary64`
330×	`associate-l_binary64`
309×	`associate-r_binary64`
240×	`*-commutative_binary64`
208×	`distribute-lft-neg-out_binary64`
201×	`distribute-rgt-neg-out_binary64`
101×	`cancel-sign-sub-inv_binary64`
96×	`log-prod_binary64`
81×	`associate-*l/_binary64`
74×	`*-lft-identity_binary64`
73×	`*-rgt-identity_binary64`
70×	`sub-neg_binary64`
63×	`unswap-sqr_binary64`
60×	`associate-/l*_binary64`
55×	`mul-1-neg_binary64`
48×	`neg-sub0_binary64`
46×	`associate-*r/_binary64`
44×	`+-commutative_binary64`
40×	`sqr-pow_binary64`
31×	`neg-mul-1_binary64` `distribute-neg-in_binary64`
28×	`unsub-neg_binary64`
26×	`swap-sqr_binary64`
24×	`exp-prod_binary64`
23×	`cube-prod_binary64`
22×	`exp-sum_binary64`
21×	`div-sub_binary64`
20×	`distribute-neg-frac_binary64`
19×	`log-div_binary64`
15×	`distribute-rgt-neg-in_binary64`
13×	`associate-+l+_binary64`
12×	`distribute-lft-neg-in_binary64`
11×	`associate-+r+_binary64`
10×	`cube-unmult_binary64` `cube-div_binary64` `associate--l+_binary64`
9×	`/-rgt-identity_binary64` `associate-/r*_binary64`
8×	`associate--r+_binary64`
6×	`associate-+r-_binary64`
5×	`associate-/l/_binary64` `associate-/r/_binary64`
4×	`log-rec_binary64` `exp-diff_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `difference-of-squares_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64`
3×	`log-pow_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `cube-mult_binary64` `pow-sqr_binary64` `distribute-rgt1-in_binary64` `associate-+l-_binary64`
2×	`pow-plus_binary64` `remove-double-neg_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-frac-neg_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `+-rgt-identity_binary64` `distribute-lft1-in_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` `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` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sub0-neg_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` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

159 → 131

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	305	4529
1	824	3815
2	3249	3742
3	4948	3742
4	5001	3742

prune137.0ms (2.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	131	5	136

Error

Counts

136 → 5

Compiler

Compiled 3349 to 2161 computations (35.5% saved)

regimes626.0ms (12.8%)

Accuracy

Total 0.1b remaining (85.2%)

Threshold costs 0.1b (85.2%)

Compiler

Compiled 8429 to 6682 computations (20.7% saved)

bsearch0.0ms (0%)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

28×	`distribute-rgt-neg-in_binary64`
21×	`cancel-sign-sub-inv_binary64` `distribute-lft-neg-in_binary64`
19×	`neg-mul-1_binary64` `neg-sub0_binary64` `distribute-neg-in_binary64`
14×	`distribute-lft-neg-out_binary64`
12×	`distribute-rgt-neg-out_binary64`
11×	`unsub-neg_binary64`
10×	`*-commutative_binary64` `+-commutative_binary64`
9×	`sub-neg_binary64`
7×	`remove-double-neg_binary64`
4×	`distribute-neg-out_binary64`
1×	`1-exp_binary64` `distribute-neg-frac_binary64` `distribute-frac-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` `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` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	23	31
2	32	31
3	42	31
4	54	31
5	66	31
6	80	31
7	90	31
8	112	31
9	130	31
10	142	31
11	148	31
12	153	31
13	158	31
14	160	31
15	156	31

end1.0ms (0%)

Compiler: Compiled 21 to 15 computations (28.6% saved)

sample915.0ms (18.7%)

Algorithm

1×

intervals

Results

288.0ms	8000×	body	128	valid
173.0ms	8058×	pre	128	true
2.0ms	58×	body	128	invalid

Compiler

Compiled 145 to 118 computations (18.6% saved)

Iter	Nodes	Cost
0	12	33
1	23	31
2	32	31
3	42	31
4	54	31
5	66	31
6	80	31
7	90	31
8	112	31
9	130	31
10	142	31
11	148	31
12	153	31
13	158	31
14	160	31
15	156	31

Iter	Nodes	Cost
0	12	33
1	23	31
2	32	31
3	42	31
4	54	31
5	66	31
6	80	31
7	90	31
8	112	31
9	130	31
10	142	31
11	148	31
12	153	31
13	158	31
14	160	31
15	156	31

Details

analyze346.0ms (7.1%)

sample36.0ms (0.7%)

simplify99.0ms (2%)

prune5.0ms (0.1%)

localize9.0ms (0.2%)

rewrite227.0ms (4.6%)

series142.0ms (2.9%)

simplify122.0ms (2.5%)

prune112.0ms (2.3%)

localize10.0ms (0.2%)

rewrite244.0ms (5%)

series185.0ms (3.8%)

simplify147.0ms (3%)

prune145.0ms (3%)

localize12.0ms (0.2%)

rewrite262.0ms (5.4%)

series139.0ms (2.8%)

simplify213.0ms (4.4%)

prune159.0ms (3.3%)

localize14.0ms (0.3%)

rewrite269.0ms (5.5%)

series146.0ms (3%)

simplify154.0ms (3.2%)

prune137.0ms (2.8%)

regimes626.0ms (12.8%)

bsearch0.0ms (0%)

simplify8.0ms (0.2%)

end1.0ms (0%)

sample915.0ms (18.7%)

Profiling

Iter	Nodes	Cost
0	12	33
1	23	31
2	32	31
3	42	31
4	54	31
5	66	31
6	80	31
7	90	31
8	112	31
9	130	31
10	142	31
11	148	31
12	153	31
13	158	31
14	160	31
15	156	31