Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
62.5%	25%	12.5%	4
68.7%	12.5%	18.8%	5
71.8%	6.2%	21.9%	6
73.4%	3.1%	23.5%	7
74.2%	1.6%	24.3%	8
74.6%	0.8%	24.6%	9
75%	0.4%	24.6%	10
75.1%	0.2%	24.7%	11
75.1%	0.1%	24.8%	12
75.1%	0%	24.8%	13
75.2%	0%	24.8%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample29.0ms (0.8%)

Algorithm

1×

intervals

Results

15.0ms	94×	body	1024	valid
3.0ms	34×	body	512	valid
3.0ms	104×	body	128	valid
1.0ms	19×	body	256	valid
1.0ms	5×	body	2048	valid

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify109.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	168	9
1	168	9

prune2.0ms (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

38.0b

Counts

2 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

5.1b	(-.f64 (exp.f64 x) 1)
0.0b	(/.f64 (-.f64 (exp.f64 x) 1) x)
0.0b	(/.f64 (-.f64 (exp.f64 x) 1) x)
5.1b	(-.f64 (exp.f64 x) 1)

rewrite17.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`add-sqr-sqrt_binary64_3423`
30×	`*-un-lft-identity_binary64_3401`
21×	`times-frac_binary64_3407`
15×	`add-cube-cbrt_binary64_3436`
10×	`difference-of-squares_binary64_3370`
7×	`associate-/l*_binary64_3346`
5×	`distribute-lft-out--_binary64_3353` `difference-of-sqr-1_binary64_3371`
4×	`add-log-exp_binary64_3440` `add-exp-log_binary64_3439` `add-cbrt-cube_binary64_3437`
3×	`associate-/r*_binary64_3345` `cancel-sign-sub-inv_binary64_3367`
2×	`flip--_binary64_3376` `flip3--_binary64_3405` `pow1_binary64_3462` `associate-/l/_binary64_3348`
1×	`cbrt-undiv_binary64_3435` `clear-num_binary64_3400` `div-inv_binary64_3398` `diff-log_binary64_3493` `sub-neg_binary64_3394` `div-exp_binary64_3452` `div-sub_binary64_3406` `frac-2neg_binary64_3412`

Counts

2 → 64

Calls

4 calls:

7.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
5.0ms	(-.f64 (exp.f64 x) 1)
0.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
0.0ms	(-.f64 (exp.f64 x) 1)

series48.0ms (1.4%)

Counts

2 → 12

Calls

2 calls:

32.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
16.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 134 to 114 computations (14.9% saved)

simplify61.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4961	1076
1	4961	1076

prune85.0ms (2.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	74	2	76
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	2	77

Error

0.0b

Counts

77 → 2

Compiler

Compiled 916 to 503 computations (45.1% saved)

localize8.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.4b	(*.f64 x 1/24)
0.3b	(.f64 x (+.f64 1/6 (.f64 x 1/24)))
0.1b	(.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
0.0b	(+.f64 1/6 (*.f64 x 1/24))
0.0b	(+.f64 1/6 (*.f64 x 1/24))
0.1b	(.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
0.3b	(.f64 x (+.f64 1/6 (.f64 x 1/24)))
0.4b	(*.f64 x 1/24)

rewrite23.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_3423`
10×	`*-un-lft-identity_binary64_3401` `pow1_binary64_3462` `add-cube-cbrt_binary64_3436` `add-exp-log_binary64_3439` `add-cbrt-cube_binary64_3437`
9×	`associate-r_binary64_3341` `associate-l_binary64_3342`
6×	`add-log-exp_binary64_3440`
4×	`associate-*r/_binary64_3343`
3×	`cbrt-unprod_binary64_3434` `unswap-sqr_binary64_3369` `prod-exp_binary64_3450` `pow-prod-down_binary64_3472` `flip-+_binary64_3375` `*-commutative_binary64_3332` `flip3-+_binary64_3404`
2×	`distribute-rgt-in_binary64_3351` `distribute-lft-in_binary64_3350`
1×	`+-commutative_binary64_3331` `sum-log_binary64_3492`

Counts

4 → 73

Calls

8 calls:

6.0ms	(.f64 x (+.f64 1/6 (.f64 x 1/24)))
5.0ms	(.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
4.0ms	(*.f64 x 1/24)
3.0ms	(+.f64 1/6 (*.f64 x 1/24))
0.0ms	(+.f64 1/6 (*.f64 x 1/24))

series127.0ms (3.6%)

Counts

4 → 20

Calls

4 calls:

52.0ms	(.f64 x (+.f64 1/6 (.f64 x 1/24)))
33.0ms	(.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
26.0ms	(+.f64 1/6 (*.f64 x 1/24))
15.0ms	(*.f64 x 1/24)

Compiler

Compiled 398 to 347 computations (12.8% saved)

simplify83.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4884	1083
1	4884	1083

prune88.0ms (2.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	93	2	95

Error

0.0b

Counts

95 → 2

Compiler

Compiled 1604 to 1245 computations (22.4% saved)

localize7.0ms (0.2%)

Local error

Found 8 expressions with local error:

5.1b	(-.f64 (exp.f64 x) 1)
5.1b	(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
0.0b	(exp.f64 (-.f64 (exp.f64 x) 1))
0.0b	(/.f64 (log.f64 (exp.f64 (-.f64 (exp.f64 x) 1))) x)
0.0b	(/.f64 (log.f64 (exp.f64 (-.f64 (exp.f64 x) 1))) x)
0.0b	(exp.f64 (-.f64 (exp.f64 x) 1))
5.1b	(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
5.1b	(-.f64 (exp.f64 x) 1)

rewrite38.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`add-sqr-sqrt_binary64_3423`
51×	`*-un-lft-identity_binary64_3401`
42×	`exp-prod_binary64_3453`
40×	`log-pow_binary64_3490`
33×	`times-frac_binary64_3407`
30×	`add-cube-cbrt_binary64_3436`
14×	`difference-of-squares_binary64_3370`
11×	`associate-/l*_binary64_3346`
9×	`add-log-exp_binary64_3440` `pow1_binary64_3462` `cancel-sign-sub-inv_binary64_3367`
8×	`exp-sum_binary64_3447`
7×	`distribute-lft-out--_binary64_3353` `log-prod_binary64_3487` `difference-of-sqr-1_binary64_3371`
6×	`add-exp-log_binary64_3439` `add-cbrt-cube_binary64_3437`
3×	`associate-/r*_binary64_3345` `sub-neg_binary64_3394` `exp-diff_binary64_3449`
2×	`diff-log_binary64_3493` `rem-exp-log_binary64_3441` `log-div_binary64_3488`
1×	`cbrt-undiv_binary64_3435` `clear-num_binary64_3400` `div-inv_binary64_3398` `flip--_binary64_3376` `flip3--_binary64_3405` `rem-log-exp_binary64_3442` `div-exp_binary64_3452` `div-sub_binary64_3406` `frac-2neg_binary64_3412`

Counts

4 → 123

Calls

8 calls:

10.0ms	(/.f64 (log.f64 (exp.f64 (-.f64 (exp.f64 x) 1))) x)
6.0ms	(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
6.0ms	(exp.f64 (-.f64 (exp.f64 x) 1))
4.0ms	(-.f64 (exp.f64 x) 1)
0.0ms	(/.f64 (log.f64 (exp.f64 (-.f64 (exp.f64 x) 1))) x)

series233.0ms (6.7%)

Counts

4 → 24

Calls

4 calls:

127.0ms	(/.f64 (log.f64 (exp.f64 (-.f64 (exp.f64 x) 1))) x)
67.0ms	(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
21.0ms	(exp.f64 (-.f64 (exp.f64 x) 1))
18.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 302 to 258 computations (14.6% saved)

simplify76.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	6074	1862

prune98.0ms (2.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	146	1	147
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	146	3	149

Error

0.0b

Counts

149 → 3

Compiler

Compiled 1770 to 1025 computations (42.1% saved)

localize8.0ms (0.2%)

Local error

Found 8 expressions with local error:

5.1b	(-.f64 (exp.f64 x) 1)
5.1b	(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
0.0b	(*.f64 (log.f64 (exp.f64 (-.f64 (exp.f64 x) 1))) (/.f64 1 x))
0.0b	(exp.f64 (-.f64 (exp.f64 x) 1))
0.0b	(exp.f64 (-.f64 (exp.f64 x) 1))
0.0b	(*.f64 (log.f64 (exp.f64 (-.f64 (exp.f64 x) 1))) (/.f64 1 x))
5.1b	(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
5.1b	(-.f64 (exp.f64 x) 1)

rewrite38.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`add-sqr-sqrt_binary64_3423`
32×	`*-un-lft-identity_binary64_3401`
21×	`exp-prod_binary64_3453`
19×	`add-cube-cbrt_binary64_3436`
16×	`log-pow_binary64_3490`
13×	`associate-r_binary64_3341` `add-exp-log_binary64_3439`
11×	`associate-l_binary64_3342` `times-frac_binary64_3407`
9×	`add-log-exp_binary64_3440` `cancel-sign-sub-inv_binary64_3367` `add-cbrt-cube_binary64_3437`
8×	`difference-of-squares_binary64_3370` `exp-sum_binary64_3447` `pow1_binary64_3462`
7×	`log-prod_binary64_3487`
4×	`distribute-lft-out--_binary64_3353` `prod-exp_binary64_3450` `difference-of-sqr-1_binary64_3371`
3×	`unswap-sqr_binary64_3369` `sub-neg_binary64_3394`
2×	`cbrt-unprod_binary64_3434` `diff-log_binary64_3493` `rem-exp-log_binary64_3441` `div-exp_binary64_3452` `exp-diff_binary64_3449`
1×	`cbrt-undiv_binary64_3435` `un-div-inv_binary64_3399` `div-inv_binary64_3398` `flip--_binary64_3376` `rec-exp_binary64_3451` `flip3--_binary64_3405` `rem-log-exp_binary64_3442` `1-exp_binary64_3445` `pow-prod-down_binary64_3472` `associate-r/_binary64_3343` `-commutative_binary64_3332` `log-div_binary64_3488`

Counts

4 → 107

Calls

8 calls:

13.0ms	(*.f64 (log.f64 (exp.f64 (-.f64 (exp.f64 x) 1))) (/.f64 1 x))
6.0ms	(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
6.0ms	(exp.f64 (-.f64 (exp.f64 x) 1))
4.0ms	(-.f64 (exp.f64 x) 1)
0.0ms	(exp.f64 (-.f64 (exp.f64 x) 1))

series229.0ms (6.5%)

Counts

4 → 24

Calls

4 calls:

116.0ms	(*.f64 (log.f64 (exp.f64 (-.f64 (exp.f64 x) 1))) (/.f64 1 x))
70.0ms	(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
21.0ms	(exp.f64 (-.f64 (exp.f64 x) 1))
21.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 350 to 306 computations (12.6% saved)

simplify69.0ms (2%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4935	1330
1	4935	1330

prune91.0ms (2.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	131	3	134

Error

0.0b

Counts

134 → 3

Compiler

Compiled 1638 to 1080 computations (34.1% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	108	302
1	108	302

regimes41.0ms (1.2%)

Accuracy

Total 0.3b remaining (94.3%)

Threshold costs 0.3b (94.3%)

Compiler

Compiled 200 to 155 computations (22.5% saved)

bsearch21.0ms (0.6%)

Steps

Iters	Range		Point
11	-30869.996270880005	-3.967438227950044e-19	-0.0012877939694746442

Compiler

Compiled 1 to 1 computations (0% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	56
1	32	56

end0.0ms (0%)

sample1.9s (53.1%)

Algorithm

1×

intervals

Results

404.0ms	2665×	body	1024	valid
112.0ms	1293×	body	512	valid
79.0ms	3094×	body	128	valid
48.0ms	254×	body	2048	valid
40.0ms	694×	body	256	valid

Compiler

Compiled 695 to 535 computations (23% saved)

Pareto

-0.12385670338384396

Details

analyze4.0ms (0.1%)

sample29.0ms (0.8%)

simplify109.0ms (3.1%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

rewrite17.0ms (0.5%)

series48.0ms (1.4%)

simplify61.0ms (1.7%)

prune85.0ms (2.4%)

localize8.0ms (0.2%)

rewrite23.0ms (0.7%)

series127.0ms (3.6%)

simplify83.0ms (2.4%)

prune88.0ms (2.5%)

localize7.0ms (0.2%)

rewrite38.0ms (1.1%)

series233.0ms (6.7%)

simplify76.0ms (2.2%)

prune98.0ms (2.8%)

localize8.0ms (0.2%)

rewrite38.0ms (1.1%)

series229.0ms (6.5%)

simplify69.0ms (2%)

prune91.0ms (2.6%)

simplify5.0ms (0.2%)

regimes41.0ms (1.2%)

bsearch21.0ms (0.6%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.9s (53.1%)

Profiling