Details

analyze77.0ms (6.9%)

Algorithm

1×	search
2×	egg-herbie

Rules

51×	`cancel-sign-sub-inv_binary64`
30×	`sub-neg_binary64`
26×	`distribute-rgt-in_binary64`
19×	`distribute-rgt-neg-in_binary64` `associate--r+_binary64`
18×	`distribute-lft-in_binary64`
16×	`unsub-neg_binary64`
15×	`distribute-lft-neg-in_binary64`
14×	`neg-mul-1_binary64`
13×	`*-commutative_binary64`
12×	`distribute-neg-in_binary64`
11×	`associate-r_binary64` `associate-+l-_binary64` `+-commutative_binary64`
9×	`distribute-lft-neg-out_binary64`
8×	`neg-sub0_binary64` `sub0-neg_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-rgt-out--_binary64` `associate-+l+_binary64`
6×	`*-lft-identity_binary64` `associate-+r+_binary64`
4×	`distribute-rgt-out_binary64` `associate-l_binary64` `associate--r-_binary64`
3×	`remove-double-neg_binary64` `distribute-rgt-neg-out_binary64`
2×	`*-rgt-identity_binary64` `--rgt-identity_binary64` `distribute-rgt1-in_binary64` `associate--l+_binary64` `associate-+r-_binary64`
1×	`1-exp_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` `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` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `div0_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` `cancel-sign-sub_binary64` `distribute-neg-frac_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` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	11	14
2	19	14
3	38	14
4	53	14
5	80	14
6	158	14
7	236	14
8	231	14
9	227	14
10	188	14
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
50%	50%	0.1%	6
59.3%	37.5%	3.2%	7
70.2%	23.4%	6.3%	8
74.1%	17.2%	8.7%	9
79.2%	11.3%	9.5%	10
81%	8.2%	10.8%	11
83.4%	5.6%	11%	12
84.2%	4%	11.8%	13
85.4%	2.8%	11.8%	14

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample12.0ms (1.1%)

Algorithm

1×

intervals

Results

4.0ms	256×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify14.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

28×	`cancel-sign-sub-inv_binary64`
19×	`sub-neg_binary64`
16×	`distribute-rgt-neg-in_binary64`
15×	`distribute-rgt-in_binary64`
12×	`unsub-neg_binary64` `associate--r+_binary64`
11×	`distribute-lft-neg-in_binary64` `distribute-lft-in_binary64`
10×	`neg-mul-1_binary64`
8×	`distribute-neg-in_binary64` `distribute-lft-neg-out_binary64` `associate-r_binary64` `*-commutative_binary64`
7×	`neg-sub0_binary64` `+-commutative_binary64`
6×	`mul0-rgt_binary64` `mul0-lft_binary64` `associate-+l-_binary64`
4×	`*-lft-identity_binary64` `sub0-neg_binary64` `+-lft-identity_binary64` `distribute-rgt-out--_binary64` `associate-+l+_binary64`
3×	`remove-double-neg_binary64`
2×	`distribute-rgt-neg-out_binary64` `distribute-rgt-out_binary64` `associate-l_binary64` `associate--r-_binary64` `associate-+r+_binary64`
1×	`1-exp_binary64` `*-rgt-identity_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `distribute-rgt1-in_binary64` `associate--l+_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` `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` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `div0_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` `cancel-sign-sub_binary64` `distribute-neg-frac_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` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--l-_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	8	7
2	13	7
3	23	7
4	34	7
5	54	7
6	104	7
7	158	7
8	161	7
9	163	7
10	128	7

prune5.0ms (0.5%)

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 5 to 4 computations (20% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (*.f64 x y) x)

rewrite12.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

3×	`add-log-exp_binary64` `cancel-sign-sub-inv_binary64`
2×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
1×	`diff-log_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64`

Counts

1 → 14

Calls

1 calls:

4.0ms

(-.f64 (*.f64 x y) x)

Compiler

Compiled 168 to 53 computations (68.5% saved)

series19.0ms (1.7%)

Error

Counts

1 → 9

Calls

1 calls:

14.0ms

(-.f64 (*.f64 x y) x)

Compiler

Compiled 96 to 82 computations (14.6% saved)

simplify70.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

465×	`unsub-neg_binary64`
367×	`*-commutative_binary64`
366×	`distribute-rgt-in_binary64`
314×	`distribute-lft-in_binary64`
268×	`cancel-sign-sub-inv_binary64`
261×	`unswap-sqr_binary64`
241×	`times-frac_binary64`
221×	`associate-l_binary64`
208×	`exp-prod_binary64`
188×	`associate-r_binary64`
186×	`cube-prod_binary64`
163×	`distribute-rgt-out_binary64`
146×	`distribute-lft-out_binary64`
130×	`exp-sum_binary64`
116×	`difference-of-squares_binary64`
111×	`distribute-neg-in_binary64`
110×	`log-prod_binary64`
106×	`neg-sub0_binary64`
100×	`neg-mul-1_binary64`
96×	`sqr-pow_binary64`
76×	`distribute-neg-out_binary64`
71×	`sub-neg_binary64`
69×	`distribute-lft-neg-out_binary64`
65×	`distribute-rgt-neg-out_binary64`
56×	`exp-diff_binary64`
48×	`swap-sqr_binary64`
45×	`mul0-rgt_binary64` `mul0-lft_binary64`
41×	`associate-+r+_binary64`
40×	`distribute-lft-out--_binary64`
37×	`associate-+l+_binary64`
34×	`distribute-rgt-out--_binary64`
32×	`+-commutative_binary64`
31×	`cube-neg_binary64`
29×	`sqr-neg_binary64`
28×	`unpow3_binary64`
22×	`pow-sqr_binary64` `distribute-lft-neg-in_binary64`
20×	`distribute-rgt-neg-in_binary64`
19×	`cube-mult_binary64`
12×	`exp-neg_binary64` `cube-unmult_binary64` `cancel-sign-sub_binary64` `associate-+l-_binary64`
11×	`pow-plus_binary64` `*-rgt-identity_binary64` `sub0-neg_binary64`
10×	`div-sub_binary64` `+-rgt-identity_binary64`
9×	`*-lft-identity_binary64` `associate-+r-_binary64`
7×	`remove-double-neg_binary64` `associate-/l*_binary64`
6×	`mul-1-neg_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64`
4×	`+-lft-identity_binary64` `distribute-lft1-in_binary64` `associate--r+_binary64`
3×	`rem-sqrt-square_binary64` `--rgt-identity_binary64`
2×	`log-pow_binary64` `unpow1/2_binary64` `difference-of-sqr--1_binary64` `associate-*r/_binary64`
1×	`unpow2_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `difference-of-sqr-1_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/r*_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` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_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` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `/-rgt-identity_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `distribute-neg-frac_binary64` `count-2_binary64` `associate-l/_binary64` `associate--l-_binary64` `associate--l+_binary64`

Counts

23 → 16

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	222
1	104	201
2	247	198
3	1028	198
4	2528	198
5	4449	198
6	5045	198

prune7.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	15	1	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	2	17

Error

0.0b

Counts

17 → 2

Compiler

Compiled 112 to 72 computations (35.7% saved)

localize8.0ms (0.7%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 x (-.f64 y 1))
0.2b	(pow.f64 (*.f64 x (-.f64 y 1)) 3)
33.1b	(cbrt.f64 (pow.f64 (*.f64 x (-.f64 y 1)) 3))

rewrite65.0ms (5.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

15×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64`
9×	`add-cube-cbrt_binary64`
8×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `cbrt-prod_binary64`
7×	`associate-r_binary64`
6×	`associate-*r/_binary64` `cancel-sign-sub-inv_binary64`
4×	`cube-div_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
3×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64` `pow-unpow_binary64` `associate-l_binary64`
2×	`cbrt-div_binary64` `unpow-prod-down_binary64` `unpow3_binary64` `cube-mult_binary64` `cube-prod_binary64` `sqr-pow_binary64` `pow-prod-down_binary64` `pow-pow_binary64` `prod-exp_binary64` `pow-exp_binary64` `rem-cube-cbrt_binary64` `cbrt-unprod_binary64` `sub-neg_binary64` `difference-of-squares_binary64`
1×	`pow1/3_binary64` `rem-cbrt-cube_binary64` `pow-to-exp_binary64` `unswap-sqr_binary64` `difference-of-sqr-1_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`

Counts

3 → 75

Calls

3 calls:

7.0ms	(*.f64 x (-.f64 y 1))
6.0ms	(pow.f64 (*.f64 x (-.f64 y 1)) 3)
2.0ms	(cbrt.f64 (pow.f64 (*.f64 x (-.f64 y 1)) 3))

Compiler

Compiled 984 to 743 computations (24.5% saved)

series81.0ms (7.2%)

Error

Counts

3 → 33

Calls

3 calls:

32.0ms	(pow.f64 (*.f64 x (-.f64 y 1)) 3)
20.0ms	(cbrt.f64 (pow.f64 (*.f64 x (-.f64 y 1)) 3))
17.0ms	(*.f64 x (-.f64 y 1))

Compiler

Compiled 709 to 614 computations (13.4% saved)

simplify81.0ms (7.2%)

Algorithm

1×	egg-herbie

Rules

650×	`unswap-sqr_binary64`
337×	`distribute-rgt-in_binary64`
313×	`distribute-lft-in_binary64`
293×	`*-commutative_binary64`
201×	`exp-prod_binary64`
182×	`sqr-pow_binary64`
177×	`log-prod_binary64`
171×	`cube-prod_binary64`
137×	`unsub-neg_binary64`
133×	`associate-l_binary64`
124×	`associate-r_binary64`
106×	`exp-sum_binary64`
95×	`sub-neg_binary64`
81×	`swap-sqr_binary64` `cancel-sign-sub-inv_binary64`
66×	`distribute-rgt-neg-in_binary64`
62×	`neg-sub0_binary64`
52×	`neg-mul-1_binary64` `distribute-lft-neg-in_binary64`
37×	`unpow3_binary64` `pow-sqr_binary64`
31×	`cube-mult_binary64` `mul-1-neg_binary64` `*-lft-identity_binary64`
29×	`*-rgt-identity_binary64`
26×	`distribute-rgt-out_binary64` `+-commutative_binary64`
22×	`distribute-rgt-out--_binary64`
20×	`associate-+l+_binary64`
19×	`difference-of-squares_binary64` `distribute-lft-neg-out_binary64`
17×	`associate-+r-_binary64` `associate-+r+_binary64`
15×	`associate-+l-_binary64`
14×	`log-pow_binary64`
13×	`pow-plus_binary64` `distribute-rgt-neg-out_binary64`
11×	`+-rgt-identity_binary64` `associate--l+_binary64`
9×	`cube-unmult_binary64` `distribute-lft-out--_binary64`
8×	`exp-neg_binary64` `rem-cbrt-cube_binary64` `sub0-neg_binary64` `distribute-neg-in_binary64`
7×	`exp-diff_binary64` `distribute-lft-out_binary64` `associate--r+_binary64`
6×	`rem-sqrt-square_binary64` `div-sub_binary64`
5×	`distribute-rgt1-in_binary64`
4×	`difference-of-sqr-1_binary64`
3×	`unpow1/2_binary64` `remove-double-neg_binary64` `associate-/l/_binary64` `associate-*r/_binary64`
2×	`unpow1_binary64` `rem-3cbrt-lft_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `difference-of-sqr--1_binary64` `count-2_binary64`
1×	`unpow2_binary64` `1-exp_binary64` `exp-1-e_binary64` `sqr-abs_binary64` `distribute-lft1-in_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-rec_binary64` `log-div_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` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cube-cbrt_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `/-rgt-identity_binary64` `--rgt-identity_binary64` `+-lft-identity_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-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `associate-/r_binary64` `associate-*l/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

108 → 72

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	130	1323
1	280	1224
2	1009	1199
3	2859	1172
4	4978	1172

prune26.0ms (2.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	72	2	74

Error

Counts

74 → 2

Compiler

Compiled 482 to 344 computations (28.6% saved)

localize6.0ms (0.6%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 x (-.f64 y 1))

rewrite32.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

11×	`add-sqr-sqrt_binary64`
8×	`*-un-lft-identity_binary64`
7×	`associate-r_binary64`
6×	`cancel-sign-sub-inv_binary64`
5×	`add-cube-cbrt_binary64`
4×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
3×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64` `difference-of-squares_binary64`
1×	`pow-prod-down_binary64` `prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `flip3--_binary64` `flip--_binary64` `difference-of-sqr-1_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`

Counts

1 → 32

Calls

1 calls:

8.0ms

(*.f64 x (-.f64 y 1))

Compiler

Compiled 412 to 306 computations (25.7% saved)

series19.0ms (1.7%)

Error

Counts

1 → 9

Calls

1 calls:

16.0ms

(*.f64 x (-.f64 y 1))

Compiler

Compiled 142 to 130 computations (8.5% saved)

simplify90.0ms (8%)

Algorithm

1×	egg-herbie

Rules

691×	`distribute-rgt-in_binary64`
667×	`distribute-lft-in_binary64`
365×	`times-frac_binary64`
315×	`unsub-neg_binary64`
258×	`distribute-rgt-neg-out_binary64`
253×	`distribute-lft-neg-out_binary64`
242×	`distribute-neg-in_binary64`
237×	`*-commutative_binary64`
223×	`sub-neg_binary64`
198×	`+-commutative_binary64`
195×	`distribute-rgt-neg-in_binary64`
187×	`associate-l_binary64`
178×	`exp-prod_binary64`
173×	`sqr-pow_binary64`
157×	`rem-sqrt-square_binary64`
147×	`unswap-sqr_binary64`
141×	`associate-r_binary64`
133×	`distribute-lft-neg-in_binary64`
118×	`neg-sub0_binary64`
98×	`associate--r+_binary64`
90×	`neg-mul-1_binary64`
77×	`log-prod_binary64`
72×	`exp-sum_binary64`
71×	`associate--l+_binary64`
65×	`associate-+r-_binary64`
60×	`cube-prod_binary64`
56×	`*-lft-identity_binary64`
55×	`*-rgt-identity_binary64`
52×	`associate-+l-_binary64`
40×	`pow-sqr_binary64`
38×	`div-sub_binary64`
37×	`exp-diff_binary64` `swap-sqr_binary64`
35×	`sqr-neg_binary64` `associate-+l+_binary64`
31×	`cancel-sign-sub-inv_binary64` `distribute-rgt-out_binary64`
30×	`mul-1-neg_binary64` `associate-+r+_binary64`
29×	`exp-neg_binary64` `associate-/l*_binary64`
27×	`distribute-neg-out_binary64`
26×	`associate-/r*_binary64`
25×	`+-rgt-identity_binary64`
24×	`sub0-neg_binary64`
23×	`remove-double-neg_binary64`
15×	`distribute-frac-neg_binary64`
14×	`unpow1/2_binary64`
13×	`mul0-rgt_binary64` `mul0-lft_binary64` `associate-/l/_binary64`
12×	`cube-unmult_binary64`
9×	`cube-neg_binary64` `distribute-rgt1-in_binary64`
8×	`unpow3_binary64` `associate-*r/_binary64`
7×	`distribute-rgt-out--_binary64` `associate-/r/_binary64`
5×	`difference-of-sqr-1_binary64`
4×	`cube-mult_binary64` `--rgt-identity_binary64`
3×	`pow-plus_binary64` `difference-of-sqr--1_binary64`
2×	`distribute-lft1-in_binary64`
1×	`unpow2_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `/-rgt-identity_binary64` `+-lft-identity_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-*l/_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` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_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` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64`

Counts

41 → 24

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	59	362
1	122	332
2	347	332
3	794	332
4	1978	332
5	2526	332
6	4427	332
7	5171	332

prune8.0ms (0.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	24	0	24
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	24	2	26

Error

Counts

26 → 2

Compiler

Compiled 135 to 97 computations (28.1% saved)

regimes55.0ms (4.8%)

Accuracy

Total 0.0b remaining (97.5%)

Threshold costs 0.0b (97.5%)

Compiler

Compiled 233 to 241 computations (-3.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2×	`sub-neg_binary64` `*-commutative_binary64` `+-commutative_binary64`
1×	`neg-mul-1_binary64` `neg-sub0_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-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	8	7
2	13	7
3	15	7
4	16	7
5	16	7

end1.0ms (0%)

Compiler: Compiled 5 to 4 computations (20% saved)

sample433.0ms (38.4%)

Algorithm

1×

intervals

Results

142.0ms	8000×	body	128	valid
1.0ms	75×	body	128	invalid

Compiler

Compiled 27 to 32 computations (-18.5% saved)

Iter	Nodes	Cost
0	7	14
1	11	14
2	19	14
3	38	14
4	53	14
5	80	14
6	158	14
7	236	14
8	231	14
9	227	14
10	188	14
0	2	2
1	2	2

Iter	Nodes	Cost
0	7	14
1	11	14
2	19	14
3	38	14
4	53	14
5	80	14
6	158	14
7	236	14
8	231	14
9	227	14
10	188	14
0	2	2
1	2	2

Details

analyze77.0ms (6.9%)

sample12.0ms (1.1%)

simplify14.0ms (1.3%)

prune5.0ms (0.5%)

localize3.0ms (0.3%)

rewrite12.0ms (1%)

series19.0ms (1.7%)

simplify70.0ms (6.2%)

prune7.0ms (0.6%)

localize8.0ms (0.7%)

rewrite65.0ms (5.8%)

series81.0ms (7.2%)

simplify81.0ms (7.2%)

prune26.0ms (2.3%)

localize6.0ms (0.6%)

rewrite32.0ms (2.8%)

series19.0ms (1.7%)

simplify90.0ms (8%)

prune8.0ms (0.7%)

regimes55.0ms (4.8%)

bsearch0.0ms (0%)

simplify3.0ms (0.3%)

end1.0ms (0%)

sample433.0ms (38.4%)

Profiling

Iter	Nodes	Cost
0	7	14
1	11	14
2	19	14
3	38	14
4	53	14
5	80	14
6	158	14
7	236	14
8	231	14
9	227	14
10	188	14
0	2	2
1	2	2