Details

analyze764.0ms (22.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

669×	`div-sub_binary64`
601×	`associate-/l*_binary64`
488×	`associate-/r*_binary64`
279×	`distribute-rgt-in_binary64`
273×	`associate-/l/_binary64`
259×	`distribute-lft-in_binary64`
239×	`associate-/r/_binary64`
156×	`associate-*l/_binary64`
115×	`cancel-sign-sub-inv_binary64`
112×	`distribute-rgt-neg-in_binary64`
102×	`distribute-lft-neg-in_binary64`
87×	`unswap-sqr_binary64`
75×	`distribute-neg-frac_binary64`
72×	`associate-r_binary64`
71×	`associate-l_binary64`
51×	`times-frac_binary64`
41×	`sub-neg_binary64`
39×	`unpow3_binary64`
36×	`*-commutative_binary64`
26×	`distribute-rgt-out_binary64`
25×	`cube-div_binary64` `fabs-div_binary64`
24×	`sqr-pow_binary64`
23×	`exp-prod_binary64`
22×	`neg-sub0_binary64`
21×	`neg-mul-1_binary64`
18×	`rem-sqrt-square_binary64`
17×	`cube-prod_binary64` `distribute-neg-in_binary64`
15×	`+-commutative_binary64`
14×	`pow-plus_binary64` `distribute-lft-out_binary64`
13×	`fabs-mul_binary64`
12×	`distribute-lft-neg-out_binary64`
11×	`pow-sqr_binary64`
9×	`-rgt-identity_binary64` `-lft-identity_binary64` `distribute-rgt-neg-out_binary64`
8×	`cube-unmult_binary64` `unsub-neg_binary64` `mul-1-neg_binary64`
7×	`associate-*r/_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
6×	`difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64`
5×	`swap-sqr_binary64`
4×	`exp-lft-sqr_binary64` `exp-sqrt_binary64` `/-rgt-identity_binary64` `*-inverses_binary64`
3×	`cube-mult_binary64` `sub0-neg_binary64` `distribute-frac-neg_binary64` `associate--r+_binary64`
2×	`prod-exp_binary64` `remove-double-neg_binary64` `cancel-sign-sub_binary64` `distribute-rgt1-in_binary64` `associate-+l-_binary64`
1×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-sum_binary64` `1-exp_binary64` `exp-1-e_binary64` `fabs-sqr_binary64` `fabs-fabs_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-inverses_binary64` `distribute-lft-out--_binary64` `count-2_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` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-diff_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` `fabs-neg_binary64` `fabs-sub_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-squares_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	23	19
2	32	19
3	55	19
4	116	11
5	296	8
6	987	8
7	4260	8
8	4954	8
9	5000	8
10	4831	8
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
25%	62.5%	12.5%	4
25%	56.2%	18.8%	5
28.1%	50%	21.9%	6
29.7%	46.9%	23.5%	7
30.5%	45.3%	24.3%	8
30.8%	44.9%	24.3%	9
31.2%	44.5%	24.3%	10
31.3%	44.3%	24.4%	11
31.4%	44.3%	24.4%	12
31.4%	44%	24.5%	13
31.5%	43.8%	24.8%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample52.0ms (1.5%)

Algorithm

1×

intervals

Results

26.0ms	80×	body	1024	valid
7.0ms	45×	body	512	valid
4.0ms	103×	body	128	valid
2.0ms	22×	body	256	valid
2.0ms	6×	body	2048	valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify80.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

669×	`div-sub_binary64`
601×	`associate-/l*_binary64`
488×	`associate-/r*_binary64`
279×	`distribute-rgt-in_binary64`
273×	`associate-/l/_binary64`
259×	`distribute-lft-in_binary64`
239×	`associate-/r/_binary64`
156×	`associate-*l/_binary64`
115×	`cancel-sign-sub-inv_binary64`
112×	`distribute-rgt-neg-in_binary64`
102×	`distribute-lft-neg-in_binary64`
87×	`unswap-sqr_binary64`
75×	`distribute-neg-frac_binary64`
72×	`associate-r_binary64`
71×	`associate-l_binary64`
51×	`times-frac_binary64`
41×	`sub-neg_binary64`
39×	`unpow3_binary64`
36×	`*-commutative_binary64`
26×	`distribute-rgt-out_binary64`
25×	`cube-div_binary64` `fabs-div_binary64`
24×	`sqr-pow_binary64`
23×	`exp-prod_binary64`
22×	`neg-sub0_binary64`
21×	`neg-mul-1_binary64`
18×	`rem-sqrt-square_binary64`
17×	`cube-prod_binary64` `distribute-neg-in_binary64`
15×	`+-commutative_binary64`
14×	`pow-plus_binary64` `distribute-lft-out_binary64`
13×	`fabs-mul_binary64`
12×	`distribute-lft-neg-out_binary64`
11×	`pow-sqr_binary64`
9×	`-rgt-identity_binary64` `-lft-identity_binary64` `distribute-rgt-neg-out_binary64`
8×	`cube-unmult_binary64` `unsub-neg_binary64` `mul-1-neg_binary64`
7×	`associate-*r/_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
6×	`difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64`
5×	`swap-sqr_binary64`
4×	`exp-lft-sqr_binary64` `exp-sqrt_binary64` `/-rgt-identity_binary64` `*-inverses_binary64`
3×	`cube-mult_binary64` `sub0-neg_binary64` `distribute-frac-neg_binary64` `associate--r+_binary64`
2×	`prod-exp_binary64` `remove-double-neg_binary64` `cancel-sign-sub_binary64` `distribute-rgt1-in_binary64` `associate-+l-_binary64`
1×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-sum_binary64` `1-exp_binary64` `exp-1-e_binary64` `fabs-sqr_binary64` `fabs-fabs_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-inverses_binary64` `distribute-lft-out--_binary64` `count-2_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` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-diff_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` `fabs-neg_binary64` `fabs-sub_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-squares_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64`

Counts

1 → 1

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	23	19
2	32	19
3	55	19
4	116	11
5	296	8
6	987	8
7	4260	8
8	4954	8
9	5000	8
10	4831	8

prune7.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
0.0b	(+.f64 1 (exp.f64 x))

rewrite41.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`*-un-lft-identity_binary64`
4×	`add-log-exp_binary64` `add-sqr-sqrt_binary64` `sqrt-prod_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64`
2×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `sqrt-div_binary64`
1×	`sum-log_binary64` `+-commutative_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`

Counts

2 → 28

Calls

2 calls:

5.0ms	(+.f64 1 (exp.f64 x))
4.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 293 to 198 computations (32.4% saved)

series36.0ms (1.1%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

15.0ms	(+.f64 1 (exp.f64 x))
12.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 307 to 283 computations (7.8% saved)

simplify51.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

733×	`times-frac_binary64`
663×	`associate-/l*_binary64`
177×	`associate-/r/_binary64`
161×	`associate-+l+_binary64`
153×	`distribute-neg-frac_binary64`
147×	`distribute-rgt-out_binary64`
137×	`associate-/l/_binary64`
136×	`distribute-rgt-neg-in_binary64`
131×	`distribute-lft-neg-in_binary64`
101×	`associate-r_binary64`
94×	`distribute-rgt-in_binary64`
87×	`associate--l+_binary64`
86×	`distribute-lft-out_binary64`
83×	`sub-neg_binary64`
82×	`associate-+r+_binary64`
81×	`associate-l_binary64`
78×	`+-commutative_binary64`
70×	`cancel-sign-sub-inv_binary64`
68×	`distribute-rgt-out--_binary64`
62×	`distribute-lft-in_binary64`
54×	`associate-/r_binary64` `-commutative_binary64`
48×	`associate-*l/_binary64`
46×	`associate-*r/_binary64`
36×	`neg-mul-1_binary64` `neg-sub0_binary64` `sqr-pow_binary64` `unswap-sqr_binary64`
33×	`unsub-neg_binary64`
28×	`distribute-lft-out--_binary64`
15×	`exp-prod_binary64`
14×	`distribute-rgt1-in_binary64`
13×	`associate--r+_binary64` `associate-+r-_binary64`
12×	`+-rgt-identity_binary64` `associate-+l-_binary64`
8×	`cube-prod_binary64`
7×	`log-prod_binary64` `cube-unmult_binary64`
6×	`*-lft-identity_binary64` `distribute-lft1-in_binary64`
5×	`div-sub_binary64` `sub0-neg_binary64` `pow-sqr_binary64`
4×	`unpow3_binary64` `pow-plus_binary64` `prod-exp_binary64` `*-rgt-identity_binary64` `distribute-neg-in_binary64`
3×	`cube-mult_binary64` `rem-sqrt-square_binary64` `count-2_binary64`
2×	`unpow1/2_binary64` `rem-square-sqrt_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-lft-neg-out_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_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` `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-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` `exp-sum_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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `remove-double-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` `difference-of-squares_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

40 → 27

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	545
1	211	521
2	543	490
3	1892	484
4	5074	484

prune23.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	2	28

Error

Counts

28 → 2

Compiler

Compiled 315 to 234 computations (25.7% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
0.0b	(pow.f64 (exp.f64 x) 2)
0.1b	(pow.f64 (exp.f64 x) 3)
4.9b	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))

rewrite144.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

63×	`*-un-lft-identity_binary64`
29×	`add-sqr-sqrt_binary64`
23×	`add-cube-cbrt_binary64`
20×	`times-frac_binary64`
16×	`distribute-lft-out_binary64`
8×	`pow-pow_binary64`
7×	`add-cbrt-cube_binary64` `unpow-prod-down_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `distribute-lft-out--_binary64` `pow-unpow_binary64` `exp-prod_binary64`
5×	`associate-/r*_binary64`
4×	`difference-of-squares_binary64` `associate-/l*_binary64`
3×	`unpow2_binary64` `sqr-pow_binary64` `cancel-sign-sub-inv_binary64` `cube-prod_binary64`
2×	`pow-to-exp_binary64` `pow-exp_binary64` `flip3-+_binary64` `associate-/l/_binary64` `flip-+_binary64` `associate-/r/_binary64`
1×	`diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `distribute-rgt-out--_binary64` `unpow3_binary64` `cube-mult_binary64` `rem-cube-cbrt_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64`

Counts

4 → 112

Calls

4 calls:

18.0ms	(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
7.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
3.0ms	(pow.f64 (exp.f64 x) 3)
3.0ms	(pow.f64 (exp.f64 x) 2)

Compiler

Compiled 2432 to 1591 computations (34.6% saved)

series75.0ms (2.2%)

Error

Counts

4 → 24

Calls

4 calls:

22.0ms	(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
13.0ms	(pow.f64 (exp.f64 x) 3)
11.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
9.0ms	(pow.f64 (exp.f64 x) 2)

Compiler

Compiled 874 to 692 computations (20.8% saved)

simplify151.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

464×	`distribute-rgt-in_binary64`
454×	`log-prod_binary64`
429×	`distribute-lft-in_binary64`
319×	`unswap-sqr_binary64`
257×	`exp-prod_binary64`
193×	`cube-prod_binary64`
186×	`cancel-sign-sub-inv_binary64`
147×	`distribute-rgt-out_binary64`
113×	`times-frac_binary64`
103×	`associate-/l*_binary64`
90×	`distribute-lft-out_binary64`
81×	`associate-l_binary64`
78×	`exp-sum_binary64`
75×	`log-pow_binary64` `sqr-pow_binary64`
70×	`associate-r_binary64`
69×	`+-commutative_binary64`
68×	`distribute-rgt-neg-in_binary64`
60×	`distribute-lft-neg-in_binary64`
56×	`fabs-mul_binary64`
52×	`prod-exp_binary64`
49×	`sub-neg_binary64`
47×	`difference-of-squares_binary64`
39×	`*-commutative_binary64`
38×	`associate-+r+_binary64`
37×	`unpow3_binary64`
35×	`associate-/l/_binary64` `associate-+l+_binary64`
24×	`cube-mult_binary64`
23×	`pow-plus_binary64` `swap-sqr_binary64`
22×	`distribute-lft-neg-out_binary64`
20×	`*-rgt-identity_binary64`
19×	`neg-mul-1_binary64` `associate-/r/_binary64`
18×	`distribute-neg-in_binary64` `distribute-rgt-out--_binary64`
17×	`div-sub_binary64` `*-lft-identity_binary64` `pow-sqr_binary64`
16×	`cube-unmult_binary64` `neg-sub0_binary64`
14×	`rem-sqrt-square_binary64`
13×	`distribute-rgt1-in_binary64` `associate-*l/_binary64`
12×	`distribute-rgt-neg-out_binary64` `distribute-lft-out--_binary64`
10×	`log-div_binary64`
9×	`difference-of-sqr--1_binary64` `associate-*r/_binary64`
8×	`associate-/r*_binary64`
7×	`unsub-neg_binary64` `distribute-lft1-in_binary64` `associate-+r-_binary64`
6×	`unpow1/2_binary64` `exp-diff_binary64` `rem-exp-log_binary64`
5×	`log-rec_binary64` `unpow2_binary64` `unpow1_binary64`
4×	`/-rgt-identity_binary64` `+-rgt-identity_binary64` `associate--r+_binary64`
3×	`rec-exp_binary64` `cube-div_binary64` `fabs-sqr_binary64` `difference-of-sqr-1_binary64` `count-2_binary64`
2×	`cube-neg_binary64` `rem-cbrt-cube_binary64` `mul-1-neg_binary64` `associate--l+_binary64` `associate-+l-_binary64`
1×	`log-E_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-log-exp_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `distribute-neg-frac_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` `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-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `associate--l-_binary64`

Counts

136 → 102

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	205	2667
1	443	2495
2	1328	2463
3	3858	2463
4	4877	2463
5	5161	2463

prune69.0ms (2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	102	2	104

Error

Counts

104 → 2

Compiler

Compiled 1608 to 1061 computations (34% saved)

regimes119.0ms (3.5%)

Accuracy

Total 0.0b remaining (35.6%)

Threshold costs 0.0b (35.6%)

Compiler

Compiled 908 to 804 computations (11.5% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`1-exp_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `*-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` `exp-1-e_binary64` `exp-0_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_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	13	27
1	19	27
2	23	27
3	25	27
4	26	27
5	25	27

end1.0ms (0%)

Compiler: Compiled 17 to 13 computations (23.5% saved)

sample1.8s (51.9%)

Algorithm

1×

intervals

Results

854.0ms	2647×	body	1024	valid
230.0ms	1330×	body	512	valid
149.0ms	3088×	body	128	valid
113.0ms	291×	body	2048	valid
72.0ms	644×	body	256	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 55 to 50 computations (9.1% saved)

Details

analyze764.0ms (22.5%)

sample52.0ms (1.5%)

simplify80.0ms (2.4%)

prune7.0ms (0.2%)

localize5.0ms (0.2%)

rewrite41.0ms (1.2%)

series36.0ms (1.1%)

simplify51.0ms (1.5%)

prune23.0ms (0.7%)

localize10.0ms (0.3%)

rewrite144.0ms (4.2%)

series75.0ms (2.2%)

simplify151.0ms (4.5%)

prune69.0ms (2%)

regimes119.0ms (3.5%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample1.8s (51.9%)

Profiling