Details

analyze299.0ms (17.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

24×	`+-commutative_binary64`
22×	`distribute-rgt-in_binary64`
18×	`*-commutative_binary64`
16×	`associate-+r+_binary64`
14×	`distribute-lft-in_binary64` `associate-l_binary64` `associate-+l+_binary64`
13×	`associate-r_binary64`
10×	`distribute-rgt-out_binary64`
6×	`-rgt-identity_binary64` `-lft-identity_binary64`
5×	`distribute-rgt1-in_binary64`
4×	`distribute-lft1-in_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` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-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` `mul0-rgt_binary64` `mul0-lft_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-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` `distribute-rgt-out--_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--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	40
1	38	40
2	70	40
3	85	40
4	94	40
5	116	40
6	100	40
7	129	40
8	129	40
9	136	40
10	134	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
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
36.7%	60.8%	2.5%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
58.2%	30.4%	11.4%	12
61.3%	24.7%	14%	13
65%	19.9%	15.1%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample15.0ms (0.9%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	11×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify11.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

8×	`associate-l_binary64` `associate-r_binary64`
7×	`+-commutative_binary64`
6×	`distribute-rgt-in_binary64` `*-commutative_binary64`
5×	`-rgt-identity_binary64` `-lft-identity_binary64`
4×	`distribute-lft-in_binary64`
3×	`associate-+l+_binary64` `associate-+r+_binary64`
2×	`distribute-rgt-out_binary64`
1×	`1-exp_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` `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` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-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` `mul0-rgt_binary64` `mul0-lft_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-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` `distribute-rgt1-in_binary64` `distribute-rgt-out--_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--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	16	10
2	22	10
3	29	10
4	33	10
5	39	10
6	35	10
7	47	10
8	43	10
9	54	10
10	52	10
11	54	10
12	52	10

prune2.0ms (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

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite34.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `associate-r_binary64`
3×	`associate-l_binary64`
2×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64` `flip3-+_binary64` `associate-*r/_binary64` `flip-+_binary64` `associate-+r+_binary64`
1×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `distribute-lft-out_binary64` `*-commutative_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

2 → 36

Calls

2 calls:

6.0ms	(*.f64 y (+.f64 z x))
4.0ms	(+.f64 x (*.f64 y (+.f64 z x)))

Compiler

Compiled 464 to 130 computations (72% saved)

series64.0ms (3.7%)

Error

0.0b

Counts

2 → 33

Calls

2 calls:

32.0ms	(+.f64 x (*.f64 y (+.f64 z x)))
23.0ms	(*.f64 y (+.f64 z x))

Compiler

Compiled 426 to 335 computations (21.4% saved)

simplify93.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

560×	`distribute-rgt-in_binary64`
550×	`distribute-lft-in_binary64`
430×	`associate-l_binary64`
338×	`associate-r_binary64`
299×	`sub-neg_binary64`
238×	`+-commutative_binary64`
235×	`distribute-rgt-out_binary64`
223×	`distribute-rgt-neg-in_binary64`
187×	`distribute-lft-neg-in_binary64`
183×	`distribute-rgt-out--_binary64`
157×	`distribute-neg-in_binary64`
138×	`unsub-neg_binary64`
134×	`cancel-sign-sub-inv_binary64` `associate--r+_binary64`
127×	`distribute-lft-out--_binary64`
104×	`unswap-sqr_binary64`
100×	`*-commutative_binary64`
94×	`associate-+l+_binary64`
92×	`distribute-lft-out_binary64`
85×	`associate--l+_binary64`
81×	`sqr-pow_binary64`
80×	`associate-+r+_binary64`
58×	`neg-sub0_binary64`
56×	`neg-mul-1_binary64`
47×	`associate-+l-_binary64`
46×	`distribute-lft-neg-out_binary64`
42×	`associate-+r-_binary64`
37×	`exp-prod_binary64` `*-lft-identity_binary64` `distribute-rgt-neg-out_binary64`
34×	`*-rgt-identity_binary64`
29×	`exp-sum_binary64`
23×	`sub0-neg_binary64`
22×	`+-rgt-identity_binary64`
18×	`pow-sqr_binary64`
16×	`swap-sqr_binary64`
14×	`cancel-sign-sub_binary64`
12×	`log-prod_binary64` `distribute-neg-out_binary64`
11×	`unpow3_binary64` `distribute-rgt1-in_binary64`
10×	`cube-prod_binary64` `distribute-lft1-in_binary64`
9×	`unpow1/2_binary64`
7×	`cube-unmult_binary64`
6×	`difference-of-squares_binary64`
5×	`pow-plus_binary64`
4×	`exp-diff_binary64`
3×	`cube-mult_binary64`
2×	`rem-sqrt-square_binary64` `associate-/l*_binary64` `associate--r-_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `remove-double-neg_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` `unpow2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `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-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `associate-/r/_binary64` `associate-/r_binary64` `associate-*l/_binary64` `associate--l-_binary64`

Counts

69 → 53

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	74	662
1	199	641
2	684	641
3	2350	641
4	3606	641
5	4975	641
6	4971	641

prune19.0ms (1.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	52	1	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	2	54

Error

Counts

54 → 2

Compiler

Compiled 334 to 99 computations (70.4% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3)))
0.0b	(*.f64 y (+.f64 x z))
0.2b	(pow.f64 (*.f64 y (+.f64 x z)) 3)
35.2b	(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3))

rewrite72.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`*-un-lft-identity_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-cube-cbrt_binary64` `cbrt-prod_binary64`
6×	`add-log-exp_binary64` `associate-*r/_binary64`
4×	`flip3-+_binary64` `cube-div_binary64` `flip-+_binary64` `associate-r_binary64`
3×	`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` `distribute-lft-out_binary64`
1×	`pow1/3_binary64` `rem-cbrt-cube_binary64` `pow-to-exp_binary64` `unswap-sqr_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `*-commutative_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

4 → 78

Calls

4 calls:

6.0ms	(*.f64 y (+.f64 x z))
6.0ms	(pow.f64 (*.f64 y (+.f64 x z)) 3)
5.0ms	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3)))
2.0ms	(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3))

Compiler

Compiled 1213 to 534 computations (56% saved)

series175.0ms (10%)

Error

Counts

4 → 75

Calls

4 calls:

64.0ms	(pow.f64 (*.f64 y (+.f64 x z)) 3)
39.0ms	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3)))
29.0ms	(*.f64 y (+.f64 x z))
25.0ms	(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3))

Compiler

Compiled 1734 to 1406 computations (18.9% saved)

simplify77.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

875×	`distribute-rgt-in_binary64`
856×	`distribute-lft-in_binary64`
169×	`unswap-sqr_binary64`
160×	`associate-r_binary64`
152×	`associate-l_binary64`
103×	`cancel-sign-sub-inv_binary64`
95×	`exp-prod_binary64`
88×	`log-prod_binary64`
82×	`distribute-rgt-neg-in_binary64`
81×	`distribute-rgt-out_binary64`
80×	`*-commutative_binary64`
77×	`swap-sqr_binary64`
66×	`sqr-pow_binary64`
54×	`cube-prod_binary64` `distribute-lft-neg-in_binary64`
40×	`exp-sum_binary64`
34×	`+-commutative_binary64`
33×	`sub-neg_binary64`
28×	`distribute-neg-in_binary64` `distribute-lft-neg-out_binary64`
25×	`neg-sub0_binary64`
22×	`neg-mul-1_binary64`
16×	`*-rgt-identity_binary64` `distribute-lft-out_binary64`
14×	`*-lft-identity_binary64`
13×	`unpow3_binary64` `associate-+r+_binary64`
12×	`cube-mult_binary64` `associate-+l+_binary64`
11×	`distribute-rgt-neg-out_binary64`
10×	`pow-sqr_binary64`
8×	`distribute-rgt-out--_binary64`
7×	`log-pow_binary64` `rem-cbrt-cube_binary64`
6×	`cube-unmult_binary64` `difference-of-squares_binary64`
4×	`pow-plus_binary64` `rem-sqrt-square_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `associate--r+_binary64`
3×	`unpow1/2_binary64` `unpow1_binary64` `distribute-rgt1-in_binary64`
2×	`unpow2_binary64` `distribute-lft-out--_binary64` `associate--l+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `associate-/l*_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` `exp-diff_binary64` `exp-neg_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-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate--r-_binary64`

Counts

153 → 113

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	151	2185
1	373	1997
2	1400	1880
3	5570	1880

prune29.0ms (1.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	113	2	115

Error

Counts

115 → 2

Compiler

Compiled 683 to 284 computations (58.4% saved)

regimes79.0ms (4.5%)

Accuracy

Total 0.0b remaining (6.4%)

Threshold costs 0.0b (6.4%)

Compiler

Compiled 328 to 350 computations (-6.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`*-commutative_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` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-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	7	10
1	10	10
2	10	10

end1.0ms (0%)

Compiler: Compiled 7 to 6 computations (14.3% saved)

sample758.0ms (43.4%)

Algorithm

1×

intervals

Results

390.0ms	8000×	body	128	valid
18.0ms	600×	body	128	invalid

Compiler

Compiled 35 to 43 computations (-22.9% saved)

Iter	Nodes	Cost
0	16	40
1	38	40
2	70	40
3	85	40
4	94	40
5	116	40
6	100	40
7	129	40
8	129	40
9	136	40
10	134	40
0	3	3
1	3	3

Iter	Nodes	Cost
0	7	10
1	16	10
2	22	10
3	29	10
4	33	10
5	39	10
6	35	10
7	47	10
8	43	10
9	54	10
10	52	10
11	54	10
12	52	10

Iter	Nodes	Cost
0	16	40
1	38	40
2	70	40
3	85	40
4	94	40
5	116	40
6	100	40
7	129	40
8	129	40
9	136	40
10	134	40
0	3	3
1	3	3

Iter	Nodes	Cost
0	7	10
1	16	10
2	22	10
3	29	10
4	33	10
5	39	10
6	35	10
7	47	10
8	43	10
9	54	10
10	52	10
11	54	10
12	52	10

Details

analyze299.0ms (17.1%)

sample15.0ms (0.9%)

simplify11.0ms (0.6%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

rewrite34.0ms (2%)

series64.0ms (3.7%)

simplify93.0ms (5.3%)

prune19.0ms (1.1%)

localize8.0ms (0.4%)

rewrite72.0ms (4.1%)

series175.0ms (10%)

simplify77.0ms (4.4%)

prune29.0ms (1.7%)

regimes79.0ms (4.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

end1.0ms (0%)

sample758.0ms (43.4%)

Profiling

Iter	Nodes	Cost
0	16	40
1	38	40
2	70	40
3	85	40
4	94	40
5	116	40
6	100	40
7	129	40
8	129	40
9	136	40
10	134	40
0	3	3
1	3	3

Iter	Nodes	Cost
0	7	10
1	16	10
2	22	10
3	29	10
4	33	10
5	39	10
6	35	10
7	47	10
8	43	10
9	54	10
10	52	10
11	54	10
12	52	10