Details

analyze449.0ms (7%)

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)

sample28.0ms (0.4%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
5.0ms	257×	pre	128	true
0.0ms	1×	body	128	invalid

Compiler

Compiled 36 to 31 computations (13.9% saved)

simplify97.0ms (1.5%)

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

prune4.0ms (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)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite185.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

3 → 82

Calls

3 calls:

20.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
11.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
9.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

Compiler

Compiled 1991 to 1405 computations (29.4% saved)

series609.0ms (9.4%)

Error

0.0b

Counts

3 → 42

Calls

3 calls:

212.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
210.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
149.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

Compiler

Compiled 1315 to 981 computations (25.4% saved)

simplify77.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

887×	`times-frac_binary64`
754×	`distribute-rgt-in_binary64`
708×	`distribute-lft-in_binary64`
132×	`associate-l_binary64`
105×	`associate-r_binary64`
85×	`*-commutative_binary64`
77×	`sub-neg_binary64`
76×	`associate-/l*_binary64`
48×	`+-commutative_binary64`
36×	`distribute-rgt-neg-out_binary64` `associate-*l/_binary64`
35×	`associate--l+_binary64`
34×	`associate-*r/_binary64`
33×	`*-lft-identity_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64`
32×	`div-sub_binary64`
31×	`neg-sub0_binary64` `*-rgt-identity_binary64`
27×	`neg-mul-1_binary64`
26×	`unsub-neg_binary64`
25×	`sqr-pow_binary64`
24×	`log-prod_binary64` `cancel-sign-sub-inv_binary64` `distribute-lft-neg-in_binary64`
22×	`swap-sqr_binary64`
21×	`cube-div_binary64`
20×	`log-div_binary64` `cube-prod_binary64` `associate-/l/_binary64`
19×	`distribute-neg-in_binary64` `associate-+l+_binary64`
18×	`associate-/r*_binary64`
17×	`distribute-neg-frac_binary64`
13×	`mul-1-neg_binary64` `associate--r+_binary64`
12×	`exp-sum_binary64`
11×	`exp-prod_binary64` `unswap-sqr_binary64` `associate-/r/_binary64`
10×	`/-rgt-identity_binary64` `distribute-rgt-out_binary64`
8×	`distribute-rgt1-in_binary64` `associate-+r+_binary64`
6×	`unpow3_binary64`
4×	`log-rec_binary64` `exp-diff_binary64` `cube-unmult_binary64` `cube-mult_binary64` `distribute-rgt-out--_binary64`
3×	`distribute-lft-out_binary64`
2×	`rem-3cbrt-lft_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `distribute-frac-neg_binary64` `associate-+l-_binary64`
1×	`log-pow_binary64` `unpow2_binary64` `unpow1/2_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` `pow-sqr_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` `pow-plus_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

124 → 106

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	174	2434
1	447	2329
2	1504	2296
3	5081	2296

prune130.0ms (2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	101	5	106
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	5	107

Error

Counts

107 → 5

Compiler

Compiled 2146 to 1305 computations (39.2% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite175.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

3 → 106

Calls

3 calls:

17.0ms	(.f64 (-.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
12.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))
11.0ms	(-.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1)

Compiler

Compiled 2509 to 1517 computations (39.5% saved)

series603.0ms (9.4%)

Error

Counts

3 → 42

Calls

3 calls:

211.0ms	(-.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1)
201.0ms	(.f64 (-.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
158.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))

Compiler

Compiled 1315 to 981 computations (25.4% saved)

simplify118.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

810×	`distribute-rgt-in_binary64`
773×	`distribute-lft-in_binary64`
417×	`times-frac_binary64`
175×	`associate-l_binary64`
129×	`associate-r_binary64`
128×	`*-commutative_binary64`
86×	`log-prod_binary64`
75×	`sub-neg_binary64`
73×	`distribute-rgt-neg-out_binary64`
66×	`distribute-lft-neg-out_binary64`
63×	`associate-*l/_binary64`
54×	`associate-/l*_binary64`
49×	`+-commutative_binary64`
41×	`*-lft-identity_binary64`
36×	`associate-*r/_binary64`
35×	`neg-sub0_binary64`
34×	`*-rgt-identity_binary64`
33×	`distribute-rgt-neg-in_binary64` `associate--l+_binary64`
30×	`sqr-pow_binary64`
28×	`neg-mul-1_binary64`
26×	`unsub-neg_binary64`
25×	`unswap-sqr_binary64`
24×	`cancel-sign-sub-inv_binary64`
23×	`distribute-lft-neg-in_binary64` `distribute-rgt-out_binary64`
21×	`cube-prod_binary64`
19×	`distribute-neg-in_binary64` `associate-+l+_binary64`
16×	`div-sub_binary64` `swap-sqr_binary64`
15×	`exp-prod_binary64`
14×	`log-div_binary64`
13×	`mul-1-neg_binary64` `associate--r+_binary64`
10×	`exp-sum_binary64`
9×	`cube-div_binary64` `distribute-rgt1-in_binary64` `associate-+r+_binary64`
8×	`associate-/r*_binary64`
6×	`unpow3_binary64` `/-rgt-identity_binary64` `distribute-neg-frac_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out_binary64`
5×	`cube-unmult_binary64`
4×	`exp-diff_binary64` `cube-mult_binary64`
3×	`log-pow_binary64` `associate-+l-_binary64`
2×	`log-rec_binary64` `rem-3cbrt-lft_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `associate-/r/_binary64` `associate-+r-_binary64`
1×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `remove-double-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` `pow-plus_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` `sqr-neg_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-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate-/l/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

148 → 126

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	206	2682
1	521	2572
2	1634	2521
3	4938	2521
4	5008	2521

prune131.0ms (2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	125	1	126
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	126	5	131

Error

Counts

131 → 5

Compiler

Compiled 2469 to 1399 computations (43.3% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (cbrt.f64 (-.f64 1 m)) (cbrt.f64 (-.f64 1 m)))
0.1b	(cbrt.f64 (-.f64 1 m))
0.1b	(cbrt.f64 (-.f64 1 m))
0.1b	(cbrt.f64 (-.f64 1 m))

rewrite249.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

50×	`cbrt-prod_binary64`
44×	`add-sqr-sqrt_binary64`
42×	`*-un-lft-identity_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
14×	`difference-of-squares_binary64`
11×	`pow1_binary64` `swap-sqr_binary64`
9×	`pow1/3_binary64` `flip3--_binary64` `flip--_binary64` `distribute-lft-out--_binary64` `associate-l_binary64` `associate-r_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `frac-times_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `associate-l/_binary64` `associate-r/_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `*-commutative_binary64`

Counts

4 → 107

Calls

4 calls:

15.0ms	(*.f64 (cbrt.f64 (-.f64 1 m)) (cbrt.f64 (-.f64 1 m)))
4.0ms	(cbrt.f64 (-.f64 1 m))
4.0ms	(cbrt.f64 (-.f64 1 m))
4.0ms	(cbrt.f64 (-.f64 1 m))

Compiler

Compiled 3423 to 2514 computations (26.6% saved)

series298.0ms (4.6%)

Error

Counts

4 → 30

Calls

4 calls:

100.0ms	(*.f64 (cbrt.f64 (-.f64 1 m)) (cbrt.f64 (-.f64 1 m)))
50.0ms	(cbrt.f64 (-.f64 1 m))
49.0ms	(cbrt.f64 (-.f64 1 m))
48.0ms	(cbrt.f64 (-.f64 1 m))

Compiler

Compiled 1978 to 1602 computations (19% saved)

simplify153.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

503×	`cancel-sign-sub-inv_binary64`
230×	`associate-l_binary64`
224×	`exp-sum_binary64`
213×	`distribute-rgt-in_binary64`
191×	`associate-r_binary64`
177×	`distribute-lft-in_binary64`
168×	`associate-+l-_binary64`
167×	`sub-neg_binary64`
166×	`associate-+l+_binary64`
164×	`distribute-rgt-neg-in_binary64`
142×	`distribute-lft-neg-in_binary64`
118×	`exp-diff_binary64`
111×	`associate--r+_binary64`
101×	`*-commutative_binary64`
92×	`associate-+r-_binary64`
91×	`log-prod_binary64`
90×	`exp-prod_binary64`
87×	`unswap-sqr_binary64`
78×	`log-div_binary64`
73×	`associate--l+_binary64`
70×	`sqr-pow_binary64` `distribute-rgt-out_binary64`
68×	`unsub-neg_binary64`
63×	`distribute-lft-out_binary64`
54×	`associate-/r*_binary64`
51×	`neg-sub0_binary64`
48×	`distribute-neg-in_binary64`
47×	`neg-mul-1_binary64`
40×	`associate--r-_binary64` `+-commutative_binary64`
36×	`swap-sqr_binary64`
34×	`distribute-rgt-out--_binary64`
26×	`distribute-lft-neg-out_binary64` `associate--l-_binary64`
25×	`log-pow_binary64`
24×	`cube-prod_binary64`
23×	`*-lft-identity_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-out--_binary64`
22×	`*-rgt-identity_binary64`
20×	`pow-plus_binary64` `sub0-neg_binary64` `associate-+r+_binary64`
18×	`unpow3_binary64`
16×	`associate-/l*_binary64`
13×	`cube-unmult_binary64` `div-sub_binary64` `pow-sqr_binary64` `associate-/l/_binary64`
11×	`distribute-rgt1-in_binary64`
9×	`exp-to-pow_binary64` `+-rgt-identity_binary64`
8×	`unpow1/3_binary64`
6×	`rem-sqrt-square_binary64` `distribute-neg-out_binary64` `associate-*r/_binary64`
5×	`cancel-sign-sub_binary64` `count-2_binary64`
4×	`log-rec_binary64` `unpow2_binary64` `prod-exp_binary64` `exp-neg_binary64` `difference-of-sqr-1_binary64` `associate-/r/_binary64`
3×	`unpow1/2_binary64` `rem-exp-log_binary64` `mul-1-neg_binary64`
2×	`rem-3cbrt-lft_binary64` `--rgt-identity_binary64`
1×	`log-E_binary64` `unpow1_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-mult_binary64` `rem-3cbrt-rft_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `+-inverses_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` `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` `pow-base-0_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` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `times-frac_binary64` `/-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-squares_binary64` `distribute-neg-frac_binary64` `distribute-lft1-in_binary64` `associate-l/_binary64`

Counts

137 → 88

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	131	2204
1	271	2116
2	692	2006
3	1763	1942
4	4459	1869
5	4984	1869
6	4977	1869

prune151.0ms (2.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	88	5	93

Error

Counts

93 → 5

Compiler

Compiled 2641 to 1876 computations (29% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 m v)) (*.f64 (-.f64 1 m) (sqrt.f64 (/.f64 m v)))) 1) (-.f64 1 m))
0.1b	(sqrt.f64 (/.f64 m v))
0.1b	(sqrt.f64 (/.f64 m v))
0.4b	(.f64 (sqrt.f64 (/.f64 m v)) (.f64 (-.f64 1 m) (sqrt.f64 (/.f64 m v))))

rewrite239.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

41×	`add-sqr-sqrt_binary64`
39×	`sqrt-prod_binary64`
33×	`*-un-lft-identity_binary64`
30×	`add-cube-cbrt_binary64`
29×	`times-frac_binary64`
19×	`associate-l_binary64`
14×	`sqrt-div_binary64`
13×	`pow1_binary64` `frac-times_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`flip3--_binary64` `flip--_binary64`
9×	`associate-*r/_binary64`
7×	`associate-l/_binary64` `associate-r*_binary64`
6×	`cancel-sign-sub-inv_binary64`
4×	`pow-prod-down_binary64` `prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `rem-sqrt-square_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
3×	`div-inv_binary64`
2×	`*-commutative_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `sub-neg_binary64` `difference-of-squares_binary64`
1×	`unswap-sqr_binary64` `distribute-lft-out--_binary64`

Counts

4 → 129

Calls

4 calls:

25.0ms	(.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 m v)) (*.f64 (-.f64 1 m) (sqrt.f64 (/.f64 m v)))) 1) (-.f64 1 m))
18.0ms	(.f64 (sqrt.f64 (/.f64 m v)) (.f64 (-.f64 1 m) (sqrt.f64 (/.f64 m v))))
4.0ms	(sqrt.f64 (/.f64 m v))
3.0ms	(sqrt.f64 (/.f64 m v))

Compiler

Compiled 3924 to 1867 computations (52.4% saved)

series440.0ms (6.8%)

Error

Counts

4 → 34

Calls

4 calls:

180.0ms	(.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 m v)) (*.f64 (-.f64 1 m) (sqrt.f64 (/.f64 m v)))) 1) (-.f64 1 m))
138.0ms	(.f64 (sqrt.f64 (/.f64 m v)) (.f64 (-.f64 1 m) (sqrt.f64 (/.f64 m v))))
51.0ms	(sqrt.f64 (/.f64 m v))
45.0ms	(sqrt.f64 (/.f64 m v))

Compiler

Compiled 1674 to 1247 computations (25.5% saved)

simplify99.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

885×	`distribute-rgt-in_binary64`
842×	`distribute-lft-in_binary64`
426×	`times-frac_binary64`
198×	`associate-r_binary64`
190×	`associate-l_binary64`
161×	`*-commutative_binary64`
54×	`sub-neg_binary64` `distribute-rgt-neg-out_binary64`
51×	`distribute-lft-neg-out_binary64`
45×	`-lft-identity_binary64` `associate-/l_binary64`
42×	`distribute-rgt-neg-in_binary64`
41×	`*-rgt-identity_binary64` `cancel-sign-sub-inv_binary64` `+-commutative_binary64`
32×	`sqr-pow_binary64`
30×	`distribute-lft-neg-in_binary64`
29×	`associate--l+_binary64`
26×	`distribute-rgt-out_binary64`
25×	`exp-prod_binary64` `cube-prod_binary64`
24×	`neg-sub0_binary64` `associate-/r*_binary64`
22×	`log-prod_binary64` `unswap-sqr_binary64` `associate-*l/_binary64`
21×	`unsub-neg_binary64` `swap-sqr_binary64`
20×	`associate-+l+_binary64`
19×	`distribute-neg-frac_binary64`
17×	`neg-mul-1_binary64` `mul-1-neg_binary64`
14×	`div-sub_binary64`
12×	`distribute-neg-in_binary64`
11×	`associate-*r/_binary64`
10×	`exp-sum_binary64` `associate--r+_binary64`
9×	`/-rgt-identity_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-+r+_binary64`
8×	`cube-div_binary64`
7×	`distribute-rgt1-in_binary64`
6×	`log-div_binary64` `rem-sqrt-square_binary64` `distribute-frac-neg_binary64`
5×	`cube-unmult_binary64`
4×	`unpow3_binary64` `difference-of-sqr-1_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `exp-diff_binary64` `rem-square-sqrt_binary64` `pow-sqr_binary64`
2×	`cube-mult_binary64` `difference-of-sqr--1_binary64` `difference-of-squares_binary64` `distribute-rgt-out--_binary64` `associate-+l-_binary64`
1×	`log-rec_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `remove-double-neg_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` `log-pow_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `pow-plus_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` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-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` `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` `associate-+r-_binary64`

Counts

163 → 115

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	233	3565
1	549	2766
2	1787	2743
3	5361	2743

prune127.0ms (2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	115	5	120

Error

Counts

120 → 5

Compiler

Compiled 2575 to 1391 computations (46% saved)

regimes331.0ms (5.1%)

Accuracy

Total 0.1b remaining (98.1%)

Threshold costs 0.1b (98.1%)

Compiler

Compiled 3706 to 2918 computations (21.3% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	31
1	24	31
2	32	31
3	46	31
4	57	31
5	79	31
6	86	31
7	90	31
8	91	31
9	87	31

end0.0ms (0%)

sample1.7s (26.6%)

Algorithm

1×

intervals

Results

269.0ms	8000×	body	128	valid
160.0ms	8047×	pre	128	true
2.0ms	47×	body	128	invalid

Compiler

Compiled 1217 to 955 computations (21.5% saved)

Details

analyze449.0ms (7%)

sample28.0ms (0.4%)

simplify97.0ms (1.5%)

prune4.0ms (0.1%)

localize8.0ms (0.1%)

rewrite185.0ms (2.9%)

series609.0ms (9.4%)

simplify77.0ms (1.2%)

prune130.0ms (2%)

localize7.0ms (0.1%)

rewrite175.0ms (2.7%)

series603.0ms (9.4%)

simplify118.0ms (1.8%)

prune131.0ms (2%)

localize11.0ms (0.2%)

rewrite249.0ms (3.9%)

series298.0ms (4.6%)

simplify153.0ms (2.4%)

prune151.0ms (2.3%)

localize9.0ms (0.1%)

rewrite239.0ms (3.7%)

series440.0ms (6.8%)

simplify99.0ms (1.5%)

prune127.0ms (2%)

regimes331.0ms (5.1%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.7s (26.6%)

Profiling