Details

analyze314.0ms (7.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

1× +-commutative_binary64 swap-a-b

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 1-exp_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 *-rgt-identity_binary64 *-lft-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-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 distribute-rgt-in_binary64 distribute-lft-in_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 associate-*r*_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 associate-+l+_binary64 associate-+r+_binary64 *-commutative_binary64

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	8	20
2	8	20
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
25%	74.9%	0.1%	4
50%	50%	0.1%	5
50%	37.5%	12.6%	6
50%	25%	25.1%	7
50%	18.7%	31.3%	8
50%	12.5%	37.6%	9
50%	9.4%	40.7%	10
50%	6.2%	43.8%	11
50%	4.7%	45.4%	12
50%	3.1%	46.9%	13
50%	2.3%	47.7%	14

Symmetry

(sort a b)

Compiler

Compiled 7 to 7 computations (0% saved)

sample84.0ms (2.1%)

Algorithm

1×

intervals

Results

41.0ms	70×	body	1024	valid
9.0ms	34×	body	512	valid
7.0ms	9×	body	2048	valid
5.0ms	126×	body	128	valid
2.0ms	17×	body	256	valid
0.0ms	5×	body	128	overflowed

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1× +-commutative_binary64

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	8	10
2	8	10

prune3.0ms (0.1%)

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

32.3b

Counts

1 → 1

Compiler

Compiled 6 to 6 computations (0% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
3.7b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite46.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

32.3b

Rules

7×	`*-un-lft-identity_binary64`
4×	`log-prod_binary64` `add-log-exp_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `add-exp-log_binary64`
2×	`flip3-+_binary64` `log-div_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `add-cbrt-cube_binary64`
1×	`log-pow_binary64` `rem-log-exp_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

2 → 27

Calls

2 calls:

6.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Compiler

Compiled 330 to 84 computations (74.5% saved)

series81.0ms (2%)

Error

0.0b

Counts

2 → 22

Calls

2 calls:

44.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
14.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Compiler

Compiled 680 to 549 computations (19.3% saved)

simplify100.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

633×	`cancel-sign-sub-inv_binary64`
277×	`associate-/r/_binary64`
260×	`associate-/l/_binary64`
238×	`associate-+l+_binary64`
217×	`sub-neg_binary64`
137×	`associate-+r+_binary64` `+-commutative_binary64`
136×	`distribute-rgt-neg-in_binary64`
134×	`times-frac_binary64`
132×	`neg-mul-1_binary64` `distribute-lft-neg-in_binary64`
128×	`distribute-rgt-in_binary64`
127×	`associate-/l*_binary64`
126×	`neg-sub0_binary64`
120×	`distribute-neg-frac_binary64`
105×	`distribute-lft-in_binary64`
99×	`associate--l+_binary64`
94×	`associate-r_binary64`
92×	`sqr-pow_binary64`
91×	`distribute-rgt-out_binary64`
85×	`unswap-sqr_binary64`
77×	`div-sub_binary64`
72×	`associate-l_binary64`
71×	`associate-/r*_binary64`
67×	`distribute-rgt-out--_binary64`
66×	`unsub-neg_binary64`
64×	`*-commutative_binary64`
58×	`prod-exp_binary64`
53×	`difference-of-squares_binary64`
51×	`distribute-lft-out_binary64`
48×	`associate-*l/_binary64`
43×	`associate-*r/_binary64`
32×	`exp-prod_binary64`
29×	`log-prod_binary64`
28×	`distribute-lft-out--_binary64`
26×	`cube-prod_binary64`
24×	`cube-unmult_binary64`
20×	`unpow3_binary64` `associate-+r-_binary64`
18×	`+-rgt-identity_binary64`
15×	`associate-+l-_binary64`
13×	`pow-sqr_binary64`
12×	`*-lft-identity_binary64` `associate--r+_binary64`
11×	`*-rgt-identity_binary64` `distribute-rgt1-in_binary64`
10×	`pow-plus_binary64`
8×	`log-pow_binary64` `count-2_binary64`
7×	`cube-mult_binary64` `cube-div_binary64` `sub0-neg_binary64`
6×	`distribute-neg-in_binary64` `distribute-lft1-in_binary64`
5×	`remove-double-neg_binary64` `div0_binary64` `distribute-lft-neg-out_binary64`
4×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `exp-sum_binary64` `rem-sqrt-square_binary64`
3×	`mul0-rgt_binary64` `mul0-lft_binary64`
2×	`swap-sqr_binary64`
1×	`1-exp_binary64` `rem-exp-log_binary64` `distribute-rgt-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-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-1-e_binary64` `exp-0_binary64` `rem-log-exp_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` `mul-1-neg_binary64` `/-rgt-identity_binary64` `--rgt-identity_binary64` `+-lft-identity_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-frac-neg_binary64` `distribute-neg-out_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

49 → 33

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	102	893
1	265	846
2	712	813
3	2395	802
4	4354	802
5	4993	802
6	4969	802

prune40.0ms (1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	32	2	34

Error

Counts

34 → 2

Compiler

Compiled 522 to 253 computations (51.5% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 a))
0.0b	(+.f64 1 (exp.f64 a))
0.0b	(+.f64 1 (exp.f64 a))
0.0b	(+.f64 1 (exp.f64 a))

rewrite79.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`add-log-exp_binary64` `*-un-lft-identity_binary64`
4×	`sum-log_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `+-commutative_binary64`

Counts

4 → 48

Calls

4 calls:

4.0ms	(+.f64 1 (exp.f64 a))
3.0ms	(+.f64 1 (exp.f64 a))
3.0ms	(+.f64 1 (exp.f64 a))
3.0ms	(+.f64 1 (exp.f64 a))

Compiler

Compiled 1604 to 1033 computations (35.6% saved)

series45.0ms (1.1%)

Error

Counts

4 → 14

Calls

4 calls:

12.0ms	(+.f64 1 (exp.f64 a))
7.0ms	(+.f64 1 (exp.f64 a))
6.0ms	(+.f64 1 (exp.f64 a))
6.0ms	(+.f64 1 (exp.f64 a))

Compiler

Compiled 1072 to 777 computations (27.5% saved)

simplify77.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

689×	`unswap-sqr_binary64`
411×	`distribute-rgt-in_binary64`
392×	`associate-+l+_binary64`
299×	`cancel-sign-sub-inv_binary64`
291×	`distribute-rgt-out_binary64`
261×	`associate-+r+_binary64`
238×	`*-commutative_binary64`
215×	`associate-l_binary64`
193×	`distribute-lft-out_binary64`
187×	`distribute-lft-in_binary64`
171×	`sqr-pow_binary64`
166×	`associate-r_binary64`
164×	`+-commutative_binary64`
118×	`exp-prod_binary64`
104×	`difference-of-squares_binary64`
84×	`sub-neg_binary64`
78×	`unsub-neg_binary64`
75×	`*-rgt-identity_binary64`
54×	`pow-sqr_binary64`
42×	`distribute-rgt-neg-in_binary64` `distribute-rgt1-in_binary64`
38×	`associate-/l*_binary64`
35×	`neg-mul-1_binary64`
32×	`neg-sub0_binary64`
31×	`cube-prod_binary64`
29×	`distribute-lft-neg-in_binary64`
26×	`distribute-lft1-in_binary64`
25×	`pow-plus_binary64` `associate-+l-_binary64`
24×	`*-lft-identity_binary64`
21×	`associate--r+_binary64`
18×	`distribute-neg-in_binary64`
17×	`cube-unmult_binary64`
16×	`times-frac_binary64` `associate-/l/_binary64`
15×	`associate-/r_binary64` `associate-r/_binary64` `associate-+r-_binary64`
13×	`exp-sum_binary64` `difference-of-sqr--1_binary64`
11×	`swap-sqr_binary64` `associate-/r/_binary64` `associate--l+_binary64`
10×	`+-rgt-identity_binary64` `distribute-rgt-out--_binary64`
9×	`+-lft-identity_binary64`
8×	`rem-sqrt-square_binary64` `remove-double-neg_binary64`
7×	`cube-div_binary64` `count-2_binary64`
6×	`sub0-neg_binary64` `difference-of-sqr-1_binary64` `distribute-lft-neg-out_binary64`
5×	`unpow3_binary64` `exp-lft-sqr_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `associate--l-_binary64`
4×	`unpow1/2_binary64` `prod-exp_binary64` `distribute-rgt-neg-out_binary64`
3×	`unpow2_binary64` `unpow1_binary64` `exp-lft-cube_binary64` `cube-mult_binary64` `div-sub_binary64`
2×	`log-prod_binary64` `--rgt-identity_binary64` `associate--r-_binary64`
1×	`exp-sqrt_binary64` `exp-diff_binary64` `1-exp_binary64` `exp-1-e_binary64` `/-rgt-identity_binary64` `distribute-lft-out--_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` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-cbrt_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-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` `mul-1-neg_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`

Counts

62 → 38

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	597
1	87	545
2	146	545
3	268	545
4	645	545
5	1746	545
6	2982	545
7	4913	545

prune49.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	38	2	40

Error

Counts

40 → 2

Compiler

Compiled 1246 to 819 computations (34.3% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 -1/2 (+.f64 (exp.f64 b) 1))
0.1b	(+.f64 1/2 (/.f64 -1/2 (+.f64 (exp.f64 b) 1)))
0.3b	(.f64 (.f64 (/.f64 a (+.f64 (exp.f64 b) 1)) a) (+.f64 1/2 (/.f64 -1/2 (+.f64 (exp.f64 b) 1))))
0.6b	(log.f64 (+.f64 (exp.f64 b) 1))

rewrite146.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

29×	`*-un-lft-identity_binary64`
16×	`add-exp-log_binary64`
15×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `add-cbrt-cube_binary64`
12×	`times-frac_binary64`
10×	`pow1_binary64`
7×	`distribute-lft-out_binary64`
6×	`add-log-exp_binary64`
5×	`flip3-+_binary64` `flip-+_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
4×	`log-prod_binary64` `associate-l/_binary64` `associate-r_binary64` `associate-/r_binary64`
3×	`pow-prod-down_binary64` `associate-/l*_binary64`
2×	`log-div_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-times_binary64` `associate-*r/_binary64` `associate-/r/_binary64`
1×	`log-pow_binary64` `rem-log-exp_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `*-commutative_binary64` `sum-log_binary64` `+-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64`

Counts

4 → 88

Calls

4 calls:

21.0ms	(.f64 (.f64 (/.f64 a (+.f64 (exp.f64 b) 1)) a) (+.f64 1/2 (/.f64 -1/2 (+.f64 (exp.f64 b) 1))))
10.0ms	(+.f64 1/2 (/.f64 -1/2 (+.f64 (exp.f64 b) 1)))
6.0ms	(/.f64 -1/2 (+.f64 (exp.f64 b) 1))
4.0ms	(log.f64 (+.f64 (exp.f64 b) 1))

Compiler

Compiled 3138 to 2088 computations (33.5% saved)

series106.0ms (2.6%)

Error

Counts

4 → 21

Calls

4 calls:

46.0ms	(.f64 (.f64 (/.f64 a (+.f64 (exp.f64 b) 1)) a) (+.f64 1/2 (/.f64 -1/2 (+.f64 (exp.f64 b) 1))))
18.0ms	(log.f64 (+.f64 (exp.f64 b) 1))
15.0ms	(+.f64 1/2 (/.f64 -1/2 (+.f64 (exp.f64 b) 1)))
11.0ms	(/.f64 -1/2 (+.f64 (exp.f64 b) 1))

Compiler

Compiled 1464 to 1088 computations (25.7% saved)

simplify130.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

557×	`associate-*l/_binary64`
405×	`times-frac_binary64`
393×	`distribute-rgt-in_binary64`
374×	`distribute-lft-in_binary64`
231×	`associate-/l*_binary64`
193×	`associate-/r*_binary64`
168×	`associate-l_binary64`
134×	`associate-r_binary64`
124×	`exp-prod_binary64`
90×	`*-commutative_binary64`
88×	`log-prod_binary64`
67×	`log-div_binary64`
47×	`cancel-sign-sub-inv_binary64`
42×	`associate-/l/_binary64`
38×	`sub-neg_binary64` `distribute-rgt-neg-in_binary64` `associate-*r/_binary64`
37×	`unswap-sqr_binary64`
35×	`distribute-lft-neg-in_binary64`
32×	`associate-/r/_binary64` `+-commutative_binary64`
29×	`sqr-pow_binary64`
27×	`distribute-lft-neg-out_binary64`
25×	`prod-exp_binary64`
24×	`cube-prod_binary64` `distribute-rgt-neg-out_binary64`
22×	`swap-sqr_binary64`
21×	`*-rgt-identity_binary64`
17×	`neg-mul-1_binary64` `neg-sub0_binary64` `*-lft-identity_binary64`
15×	`unpow3_binary64` `distribute-rgt-out_binary64`
11×	`associate-+l+_binary64`
10×	`log-rec_binary64`
9×	`cube-div_binary64` `distribute-neg-frac_binary64`
8×	`pow-plus_binary64`
7×	`cube-unmult_binary64`
6×	`distribute-rgt1-in_binary64`
5×	`log-pow_binary64` `exp-diff_binary64` `div-sub_binary64` `distribute-rgt-out--_binary64` `associate--l+_binary64` `associate-+l-_binary64` `associate-+r+_binary64`
4×	`unpow1/2_binary64` `/-rgt-identity_binary64` `associate-+r-_binary64`
3×	`rec-exp_binary64` `unsub-neg_binary64` `pow-sqr_binary64` `distribute-neg-in_binary64` `count-2_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `exp-sum_binary64` `cube-mult_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `associate--r+_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `difference-of-sqr-1_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_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` `mul-1-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-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

109 → 67

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	176	2295
1	456	2023
2	1345	2000
3	4741	2000
4	4987	2000
5	4938	2000

prune59.0ms (1.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	67	2	69

Error

Counts

69 → 2

Compiler

Compiled 1674 to 1110 computations (33.7% saved)

regimes485.0ms (12%)

Accuracy

Total 0.4b remaining (37.4%)

Threshold costs 0.4b (37.4%)

Compiler

Compiled 7520 to 5631 computations (25.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
2×	`*-commutative_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` `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` `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	18	42
1	26	42
2	25	42

end8.0ms (0.2%)

Compiler: Compiled 81 to 63 computations (22.2% saved)

sample2.1s (53%)

Algorithm

1×

intervals

Results

927.0ms	1970×	body	1024	valid
237.0ms	988×	body	512	valid
183.0ms	4336×	body	128	valid
130.0ms	209×	body	2048	valid
61.0ms	497×	body	256	valid
6.0ms	152×	body	128	overflowed

Compiler

Compiled 97 to 83 computations (14.4% saved)

Details

analyze314.0ms (7.8%)

sample84.0ms (2.1%)

simplify10.0ms (0.2%)

prune3.0ms (0.1%)

localize7.0ms (0.2%)

rewrite46.0ms (1.1%)

series81.0ms (2%)

simplify100.0ms (2.5%)

prune40.0ms (1%)

localize16.0ms (0.4%)

rewrite79.0ms (1.9%)

series45.0ms (1.1%)

simplify77.0ms (1.9%)

prune49.0ms (1.2%)

localize14.0ms (0.3%)

rewrite146.0ms (3.6%)

series106.0ms (2.6%)

simplify130.0ms (3.2%)

prune59.0ms (1.4%)

regimes485.0ms (12%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end8.0ms (0.2%)

sample2.1s (53%)

Profiling