Details

analyze817.0ms (17%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4840	8
1	4840	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

Symmetry

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample52.0ms (1.1%)

Algorithm

1×

intervals

Results

25.0ms	84×	body	1024	valid
7.0ms	48×	body	512	valid
4.0ms	100×	body	128	valid
3.0ms	8×	body	2048	valid
2.0ms	16×	body	256	valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify64.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4840	8
1	4840	8

prune7.0ms (0.1%)

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 (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite40.0ms (0.8%)

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))
3.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 321 to 218 computations (32.1% saved)

series75.0ms (1.5%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

39.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
23.0ms	(+.f64 1 (exp.f64 x))

Compiler

Compiled 324 to 294 computations (9.3% saved)

simplify39.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5074	484

prune34.0ms (0.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	37	3	40
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	38	3	41

Error

Counts

41 → 3

Compiler

Compiled 439 to 322 computations (26.7% saved)

localize10.0ms (0.2%)

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))))
0.1b	(pow.f64 (exp.f64 x) 2)
0.1b	(pow.f64 (exp.f64 x) 3)
4.6b	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))

rewrite196.0ms (4.1%)

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:

17.0ms	(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
10.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
4.0ms	(pow.f64 (exp.f64 x) 3)
4.0ms	(pow.f64 (exp.f64 x) 2)

Compiler

Compiled 2927 to 1924 computations (34.3% saved)

series249.0ms (5.2%)

Error

Counts

4 → 24

Calls

4 calls:

125.0ms	(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
39.0ms	(pow.f64 (exp.f64 x) 3)
37.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
25.0ms	(pow.f64 (exp.f64 x) 2)

Compiler

Compiled 976 to 758 computations (22.3% saved)

simplify80.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5342	2475

prune166.0ms (3.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	136	3	139

Error

Counts

139 → 3

Compiler

Compiled 3079 to 2014 computations (34.6% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (+.f64 (exp.f64 x) 1)))
0.7b	(cbrt.f64 (+.f64 (exp.f64 x) 1))
0.7b	(cbrt.f64 (+.f64 (exp.f64 x) 1))
0.7b	(cbrt.f64 (+.f64 (exp.f64 x) 1))

rewrite160.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

36×	`cbrt-prod_binary64`
35×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `swap-sqr_binary64`
7×	`associate-l_binary64` `associate-r_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `frac-times_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `associate-l/_binary64` `associate-r/_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `*-commutative_binary64`

Counts

4 → 95

Calls

4 calls:

14.0ms	(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (+.f64 (exp.f64 x) 1)))
4.0ms	(cbrt.f64 (+.f64 (exp.f64 x) 1))
4.0ms	(cbrt.f64 (+.f64 (exp.f64 x) 1))
4.0ms	(cbrt.f64 (+.f64 (exp.f64 x) 1))

Compiler

Compiled 2558 to 1763 computations (31.1% saved)

series381.0ms (7.9%)

Error

Counts

4 → 24

Calls

4 calls:

106.0ms	(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (+.f64 (exp.f64 x) 1)))
87.0ms	(cbrt.f64 (+.f64 (exp.f64 x) 1))
84.0ms	(cbrt.f64 (+.f64 (exp.f64 x) 1))
73.0ms	(cbrt.f64 (+.f64 (exp.f64 x) 1))

Compiler

Compiled 1328 to 1102 computations (17% saved)

simplify85.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5045	1745

prune143.0ms (3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	119	3	122

Error

Counts

122 → 3

Compiler

Compiled 2629 to 1870 computations (28.9% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (+.f64 2 (.f64 1/2 (.f64 x x))))
9.7b	(sqrt.f64 (+.f64 x (+.f64 2 (.f64 1/2 (.f64 x x)))))

rewrite42.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

2 → 30

Calls

2 calls:

5.0ms	(+.f64 x (+.f64 2 (.f64 1/2 (.f64 x x))))
5.0ms	(sqrt.f64 (+.f64 x (+.f64 2 (.f64 1/2 (.f64 x x)))))

Compiler

Compiled 600 to 385 computations (35.8% saved)

series132.0ms (2.7%)

Error

Counts

2 → 16

Calls

2 calls:

64.0ms	(+.f64 x (+.f64 2 (.f64 1/2 (.f64 x x))))
57.0ms	(sqrt.f64 (+.f64 x (+.f64 2 (.f64 1/2 (.f64 x x)))))

Compiler

Compiled 456 to 416 computations (8.8% saved)

simplify55.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5000	781

prune37.0ms (0.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	46	3	49

Error

Counts

49 → 3

Compiler

Compiled 658 to 437 computations (33.6% saved)

regimes115.0ms (2.4%)

Accuracy

Total 0.0b remaining (46.4%)

Threshold costs 0.0b (46.4%)

Compiler

Compiled 848 to 732 computations (13.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	29
1	34	29

Removed

()

end0.0ms (0%)

sample1.8s (37.7%)

Algorithm

1×

intervals

Results

757.0ms	2691×	body	1024	valid
203.0ms	1340×	body	512	valid
125.0ms	3069×	body	128	valid
92.0ms	280×	body	2048	valid
63.0ms	620×	body	256	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 273 to 231 computations (15.4% saved)

Details

analyze817.0ms (17%)

sample52.0ms (1.1%)

simplify64.0ms (1.3%)

prune7.0ms (0.1%)

localize5.0ms (0.1%)

rewrite40.0ms (0.8%)

series75.0ms (1.5%)

simplify39.0ms (0.8%)

prune34.0ms (0.7%)

localize10.0ms (0.2%)

rewrite196.0ms (4.1%)

series249.0ms (5.2%)

simplify80.0ms (1.7%)

prune166.0ms (3.4%)

localize8.0ms (0.2%)

rewrite160.0ms (3.3%)

series381.0ms (7.9%)

simplify85.0ms (1.8%)

prune143.0ms (3%)

localize6.0ms (0.1%)

rewrite42.0ms (0.9%)

series132.0ms (2.7%)

simplify55.0ms (1.1%)

prune37.0ms (0.8%)

regimes115.0ms (2.4%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.8s (37.7%)

Profiling