Details

analyze377.0ms (12.7%)

Algorithm

1×	search
2×	egg-herbie

Rules

172×	`cancel-sign-sub-inv_binary64`
131×	`distribute-rgt-in_binary64`
122×	`sub-neg_binary64`
111×	`unsub-neg_binary64`
97×	`associate--r+_binary64`
64×	`distribute-lft-in_binary64`
57×	`associate-+l-_binary64`
56×	`neg-mul-1_binary64` `distribute-rgt-neg-in_binary64`
49×	`associate-+r+_binary64`
48×	`+-commutative_binary64`
39×	`distribute-lft-neg-out_binary64` `*-commutative_binary64`
36×	`sub0-neg_binary64` `+-lft-identity_binary64`
35×	`neg-sub0_binary64` `associate-r_binary64` `associate-+l+_binary64`
31×	`distribute-neg-in_binary64`
29×	`associate--l+_binary64`
23×	`distribute-rgt-neg-out_binary64` `distribute-rgt-out_binary64`
21×	`associate-+r-_binary64`
19×	`distribute-rgt-out--_binary64` `associate-l_binary64`
18×	`mul0-rgt_binary64`
16×	`mul0-lft_binary64`
14×	`associate--r-_binary64`
12×	`distribute-lft-neg-in_binary64`
10×	`remove-double-neg_binary64`
9×	`-rgt-identity_binary64` `-lft-identity_binary64` `associate--l-_binary64`
6×	`--rgt-identity_binary64` `+-rgt-identity_binary64`
4×	`distribute-lft-out--_binary64`
2×	`distribute-neg-out_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `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-rgt1-in_binary64` `distribute-lft1-in_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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	52
1	38	52
2	70	52
3	106	48
4	216	48
5	373	40
6	495	40
7	940	40
8	860	40
9	839	40
10	838	40
11	838	40
12	779	40
0	3	3
1	3	3

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
0%	99.9%	0.1%	5
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
23.4%	76.5%	0.1%	8
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
48.2%	43.9%	7.9%	11
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
63.1%	22.8%	14.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample17.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	13×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify23.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

52×	`cancel-sign-sub-inv_binary64`
45×	`sub-neg_binary64` `distribute-rgt-in_binary64`
43×	`associate--r+_binary64`
28×	`unsub-neg_binary64`
23×	`neg-mul-1_binary64` `distribute-rgt-neg-in_binary64`
22×	`distribute-lft-in_binary64`
19×	`associate-l_binary64`
18×	`neg-sub0_binary64` `associate-r_binary64` `+-commutative_binary64`
17×	`*-commutative_binary64`
15×	`distribute-neg-in_binary64` `distribute-lft-neg-out_binary64` `associate-+l-_binary64`
14×	`associate-+r+_binary64`
12×	`sub0-neg_binary64`
11×	`associate--l+_binary64` `associate-+l+_binary64`
10×	`*-rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
9×	`distribute-rgt-out--_binary64`
8×	`*-lft-identity_binary64` `+-lft-identity_binary64` `distribute-rgt-neg-out_binary64` `associate--r-_binary64` `associate-+r-_binary64`
7×	`distribute-lft-neg-in_binary64`
6×	`remove-double-neg_binary64`
5×	`distribute-rgt-out_binary64`
4×	`+-rgt-identity_binary64`
3×	`--rgt-identity_binary64` `associate--l-_binary64`
1×	`1-exp_binary64` `distribute-neg-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` `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-rgt1-in_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`

Counts

1 → 1

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	16	13
2	26	13
3	42	13
4	87	12
5	122	10
6	168	10
7	291	10
8	345	10
9	353	10
10	344	10
11	301	10

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 2

Compiler

Compiled 23 to 20 computations (13% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z (-.f64 1 y)))

rewrite21.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

8×	`associate-+r+_binary64`
6×	`cancel-sign-sub-inv_binary64`
4×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
3×	`add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
2×	`sub-neg_binary64`
1×	`sum-log_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

1 → 19

Calls

1 calls:

5.0ms

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

Compiler

Compiled 342 to 172 computations (49.7% saved)

series41.0ms (1.4%)

Error

0.0b

Counts

1 → 18

Calls

1 calls:

33.0ms

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

Compiler

Compiled 243 to 194 computations (20.2% saved)

simplify77.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

565×	`associate-+l+_binary64`
488×	`associate-+r+_binary64`
273×	`associate-l_binary64`
222×	`associate-r_binary64`
218×	`distribute-rgt-in_binary64`
208×	`cancel-sign-sub-inv_binary64` `distribute-rgt-neg-out_binary64`
198×	`distribute-lft-in_binary64`
197×	`distribute-lft-neg-out_binary64`
147×	`distribute-rgt-out_binary64`
117×	`distribute-rgt-neg-in_binary64`
107×	`exp-prod_binary64`
94×	`distribute-lft-neg-in_binary64`
93×	`*-commutative_binary64`
84×	`distribute-neg-in_binary64`
77×	`associate--r+_binary64`
73×	`sub-neg_binary64`
69×	`unsub-neg_binary64`
67×	`exp-sum_binary64`
58×	`associate-+l-_binary64`
55×	`cube-prod_binary64`
53×	`exp-diff_binary64`
50×	`distribute-lft-out_binary64`
49×	`distribute-rgt-out--_binary64`
48×	`associate--l+_binary64`
46×	`unswap-sqr_binary64`
43×	`associate-+r-_binary64`
42×	`neg-sub0_binary64`
40×	`sqr-pow_binary64`
31×	`neg-mul-1_binary64`
27×	`div-sub_binary64` `*-lft-identity_binary64` `+-commutative_binary64`
21×	`*-rgt-identity_binary64`
12×	`cube-neg_binary64` `distribute-lft-out--_binary64`
11×	`unpow3_binary64` `swap-sqr_binary64` `distribute-neg-out_binary64` `associate--r-_binary64`
9×	`sqr-neg_binary64` `+-rgt-identity_binary64` `associate-/l*_binary64`
8×	`cube-unmult_binary64` `remove-double-neg_binary64`
7×	`pow-sqr_binary64`
6×	`cube-mult_binary64` `sub0-neg_binary64`
5×	`mul-1-neg_binary64`
4×	`log-prod_binary64` `exp-neg_binary64` `associate--l-_binary64`
3×	`associate-*r/_binary64`
2×	`unpow1/2_binary64` `rem-sqrt-square_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `associate-/l/_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `associate-*l/_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_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` `div-exp_binary64` `rec-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-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `/-rgt-identity_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-neg-frac_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate-/r/_binary64` `associate-/r_binary64`

Counts

37 → 32

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	480
1	152	396
2	483	396
3	1654	391
4	4791	391
5	5004	391

prune12.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	32	2	34

Error

0.0b

Counts

34 → 2

Compiler

Compiled 264 to 77 computations (70.8% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite46.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

2 → 49

Calls

2 calls:

9.0ms	(*.f64 y (-.f64 x z))
4.0ms	(+.f64 z (*.f64 y (-.f64 x z)))

Compiler

Compiled 655 to 182 computations (72.2% saved)

series67.0ms (2.2%)

Error

0.0b

Counts

2 → 33

Calls

2 calls:

30.0ms	(+.f64 z (*.f64 y (-.f64 x z)))
27.0ms	(*.f64 y (-.f64 x z))

Compiler

Compiled 457 to 357 computations (21.9% saved)

simplify109.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

349×	`distribute-rgt-in_binary64`
336×	`distribute-lft-in_binary64`
262×	`exp-prod_binary64` `unsub-neg_binary64`
256×	`+-commutative_binary64`
244×	`distribute-rgt-neg-out_binary64`
221×	`distribute-lft-neg-out_binary64`
193×	`*-commutative_binary64`
150×	`associate--r+_binary64`
147×	`times-frac_binary64`
144×	`cancel-sign-sub-inv_binary64`
130×	`distribute-rgt-neg-in_binary64`
128×	`distribute-neg-in_binary64`
114×	`associate--l+_binary64`
106×	`exp-sum_binary64`
101×	`sub-neg_binary64`
88×	`neg-sub0_binary64`
86×	`distribute-lft-neg-in_binary64` `associate-l_binary64`
82×	`neg-mul-1_binary64` `distribute-rgt-out_binary64`
80×	`exp-diff_binary64`
77×	`associate-+l-_binary64`
73×	`associate-r_binary64`
67×	`associate-+r-_binary64`
63×	`sqr-pow_binary64`
57×	`associate-+l+_binary64`
54×	`cube-prod_binary64`
52×	`div-sub_binary64`
51×	`distribute-rgt-out--_binary64`
49×	`associate-+r+_binary64`
40×	`swap-sqr_binary64`
37×	`*-lft-identity_binary64`
34×	`log-prod_binary64` `*-rgt-identity_binary64`
24×	`remove-double-neg_binary64`
20×	`mul0-rgt_binary64` `mul0-lft_binary64` `unswap-sqr_binary64`
17×	`sqr-neg_binary64`
16×	`associate--r-_binary64`
15×	`unpow3_binary64`
12×	`+-rgt-identity_binary64`
11×	`cube-neg_binary64` `distribute-lft-out_binary64`
10×	`difference-of-squares_binary64` `distribute-neg-out_binary64` `associate-/l*_binary64` `associate--l-_binary64`
9×	`exp-neg_binary64`
8×	`sub0-neg_binary64`
7×	`cube-unmult_binary64` `distribute-lft-out--_binary64`
6×	`mul-1-neg_binary64` `pow-sqr_binary64`
5×	`unpow1/2_binary64` `rem-sqrt-square_binary64` `distribute-rgt1-in_binary64`
4×	`cube-mult_binary64` `distribute-lft1-in_binary64` `associate-*r/_binary64`
3×	`prod-exp_binary64` `cancel-sign-sub_binary64` `associate-*l/_binary64`
1×	`pow-plus_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `--rgt-identity_binary64` `distribute-frac-neg_binary64` `count-2_binary64` `associate-/l/_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-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` `+-lft-identity_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-neg-frac_binary64` `associate-/r/_binary64` `associate-/r_binary64`

Counts

82 → 56

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	100	812
1	243	764
2	738	764
3	2195	764
4	4338	764
5	4998	764
6	4909	764

prune17.0ms (0.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	55	3	58

Error

Counts

58 → 3

Compiler

Compiled 373 to 121 computations (67.6% saved)

localize18.0ms (0.6%)

Local error

Found 4 expressions with local error:

1.1b	(.f64 (-.f64 x z) (.f64 y (-.f64 (*.f64 (-.f64 x z) y) z)))
3.2b	(+.f64 (.f64 z z) (.f64 (-.f64 x z) (.f64 y (-.f64 (.f64 (-.f64 x z) y) z))))
3.7b	(+.f64 (pow.f64 (*.f64 (-.f64 x z) y) 3) (pow.f64 z 3))
41.3b	(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 x z) y) 3) (pow.f64 z 3)) (+.f64 (.f64 z z) (.f64 (-.f64 x z) (.f64 y (-.f64 (*.f64 (-.f64 x z) y) z)))))

rewrite155.0ms (5.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

35×	`*-un-lft-identity_binary64`
32×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
25×	`add-sqr-sqrt_binary64`
24×	`cancel-sign-sub-inv_binary64`
23×	`add-cube-cbrt_binary64`
16×	`associate-+r+_binary64`
15×	`times-frac_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow1_binary64`
8×	`add-log-exp_binary64` `sub-neg_binary64` `associate-*r/_binary64`
6×	`flip3--_binary64` `flip--_binary64`
5×	`sum-cubes_binary64` `distribute-lft-out_binary64` `associate-/l_binary64` `associate-l*_binary64`
4×	`flip3-+_binary64` `flip-+_binary64` `frac-times_binary64`
3×	`associate-/r*_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64` `sum-log_binary64` `+-commutative_binary64` `associate-*l/_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `associate-r_binary64` `*-commutative_binary64`

Counts

4 → 123

Calls

4 calls:

17.0ms	(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 x z) y) 3) (pow.f64 z 3)) (+.f64 (.f64 z z) (.f64 (-.f64 x z) (.f64 y (-.f64 (*.f64 (-.f64 x z) y) z)))))
14.0ms	(.f64 (-.f64 x z) (.f64 y (-.f64 (*.f64 (-.f64 x z) y) z)))
11.0ms	(+.f64 (pow.f64 (*.f64 (-.f64 x z) y) 3) (pow.f64 z 3))
7.0ms	(+.f64 (.f64 z z) (.f64 (-.f64 x z) (.f64 y (-.f64 (.f64 (-.f64 x z) y) z))))

Compiler

Compiled 5292 to 1279 computations (75.8% saved)

series841.0ms (28.2%)

Error

Counts

4 → 93

Calls

4 calls:

391.0ms	(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 x z) y) 3) (pow.f64 z 3)) (+.f64 (.f64 z z) (.f64 (-.f64 x z) (.f64 y (-.f64 (*.f64 (-.f64 x z) y) z)))))
168.0ms	(+.f64 (.f64 z z) (.f64 (-.f64 x z) (.f64 y (-.f64 (.f64 (-.f64 x z) y) z))))
133.0ms	(+.f64 (pow.f64 (*.f64 (-.f64 x z) y) 3) (pow.f64 z 3))
102.0ms	(.f64 (-.f64 x z) (.f64 y (-.f64 (*.f64 (-.f64 x z) y) z)))

Compiler

Compiled 9141 to 6422 computations (29.7% saved)

simplify277.0ms (9.3%)

Algorithm

1×	egg-herbie

Rules

443×	`associate-r_binary64`
380×	`associate-l_binary64`
254×	`sub-neg_binary64`
241×	`*-commutative_binary64`
180×	`exp-prod_binary64`
172×	`distribute-rgt-in_binary64`
155×	`distribute-lft-in_binary64`
139×	`+-commutative_binary64`
129×	`cancel-sign-sub-inv_binary64`
117×	`associate-/l*_binary64`
99×	`neg-sub0_binary64`
87×	`neg-mul-1_binary64`
86×	`associate--l+_binary64`
82×	`sqr-pow_binary64`
72×	`div-sub_binary64`
70×	`associate-+l+_binary64`
63×	`associate-+r+_binary64`
62×	`times-frac_binary64`
61×	`associate--r+_binary64`
60×	`associate-/r*_binary64`
56×	`cube-prod_binary64`
54×	`unsub-neg_binary64` `distribute-rgt-neg-in_binary64`
47×	`unpow3_binary64`
41×	`distribute-lft-neg-in_binary64`
40×	`associate-*l/_binary64`
33×	`associate-*r/_binary64`
32×	`unswap-sqr_binary64`
31×	`associate-/r/_binary64`
22×	`distribute-neg-in_binary64`
20×	`associate-/l/_binary64`
19×	`distribute-lft-neg-out_binary64`
15×	`log-prod_binary64`
13×	`exp-sum_binary64` `mul-1-neg_binary64`
12×	`distribute-rgt-neg-out_binary64`
11×	`*-rgt-identity_binary64`
10×	`cube-mult_binary64`
9×	`pow-plus_binary64` `swap-sqr_binary64`
8×	`pow-sqr_binary64` `difference-of-squares_binary64`
7×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `cube-unmult_binary64` `/-rgt-identity_binary64`
6×	`*-lft-identity_binary64` `distribute-rgt-out--_binary64` `associate-+r-_binary64`
4×	`log-pow_binary64` `log-div_binary64` `distribute-rgt-out_binary64`
3×	`exp-diff_binary64` `rem-sqrt-square_binary64` `+-rgt-identity_binary64` `distribute-neg-frac_binary64` `distribute-rgt1-in_binary64` `associate-+l-_binary64`
2×	`prod-exp_binary64` `distribute-lft1-in_binary64`
1×	`1-exp_binary64` `cube-div_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `difference-of-sqr--1_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` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-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` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

216 → 203

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	384	9122
1	1097	8610
2	4212	8545
3	4927	8545
4	5099	8545

prune99.0ms (3.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	203	0	203
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	203	3	206

Error

Counts

206 → 3

Compiler

Compiled 5267 to 1648 computations (68.7% saved)

regimes107.0ms (3.6%)

Accuracy

Total 0.0b remaining (68.8%)

Threshold costs 0.0b (68.8%)

Compiler

Compiled 772 to 650 computations (15.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64` `+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`1-exp_binary64` `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` `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	9	13
1	16	13
2	20	13
3	22	13
4	23	13
5	22	13

end1.0ms (0%)

Compiler: Compiled 9 to 8 computations (11.1% saved)

sample652.0ms (21.9%)

Algorithm

1×

intervals

Results

234.0ms	8000×	body	128	valid
23.0ms	681×	body	128	invalid

Compiler

Compiled 74 to 68 computations (8.1% saved)

Iter	Nodes	Cost
0	20	52
1	38	52
2	70	52
3	106	48
4	216	48
5	373	40
6	495	40
7	940	40
8	860	40
9	839	40
10	838	40
11	838	40
12	779	40
0	3	3
1	3	3

Iter	Nodes	Cost
0	9	13
1	16	13
2	26	13
3	42	13
4	87	12
5	122	10
6	168	10
7	291	10
8	345	10
9	353	10
10	344	10
11	301	10

Iter	Nodes	Cost
0	20	52
1	38	52
2	70	52
3	106	48
4	216	48
5	373	40
6	495	40
7	940	40
8	860	40
9	839	40
10	838	40
11	838	40
12	779	40
0	3	3
1	3	3

Iter	Nodes	Cost
0	9	13
1	16	13
2	26	13
3	42	13
4	87	12
5	122	10
6	168	10
7	291	10
8	345	10
9	353	10
10	344	10
11	301	10

Details

analyze377.0ms (12.7%)

sample17.0ms (0.6%)

simplify23.0ms (0.8%)

prune3.0ms (0.1%)

localize9.0ms (0.3%)

rewrite21.0ms (0.7%)

series41.0ms (1.4%)

simplify77.0ms (2.6%)

prune12.0ms (0.4%)

localize5.0ms (0.2%)

rewrite46.0ms (1.5%)

series67.0ms (2.2%)

simplify109.0ms (3.6%)

prune17.0ms (0.6%)

localize18.0ms (0.6%)

rewrite155.0ms (5.2%)

series841.0ms (28.2%)

simplify277.0ms (9.3%)

prune99.0ms (3.3%)

regimes107.0ms (3.6%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample652.0ms (21.9%)

Profiling

Iter	Nodes	Cost
0	20	52
1	38	52
2	70	52
3	106	48
4	216	48
5	373	40
6	495	40
7	940	40
8	860	40
9	839	40
10	838	40
11	838	40
12	779	40
0	3	3
1	3	3

Iter	Nodes	Cost
0	9	13
1	16	13
2	26	13
3	42	13
4	87	12
5	122	10
6	168	10
7	291	10
8	345	10
9	353	10
10	344	10
11	301	10