Details

analyze183.0ms (2.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4809	13
1	4809	13
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	0.8%	49.2%	9
50.4%	0.4%	49.2%	10
50.4%	0.2%	49.4%	11
50.4%	0.1%	49.5%	12
50.4%	0%	49.6%	13
50.4%	0%	49.6%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample86.0ms (1.3%)

Algorithm

1×

intervals

Results

57.0ms	118×	body	2048	valid
15.0ms	71×	body	1024	valid
4.0ms	34×	body	512	valid
1.0ms	16×	body	256	valid
1.0ms	17×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify92.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4809	13
1	4809	13

prune2.0ms (0%)

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

32.3b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (exp.f64 x) 2)
4.2b	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

rewrite64.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

32.2b

Rules

11×	`*-un-lft-identity_binary64_419`
9×	`add-log-exp_binary64_458`
6×	`add-sqr-sqrt_binary64_441` `cancel-sign-sub-inv_binary64_385`
4×	`add-cube-cbrt_binary64_454` `frac-add_binary64_427` `associate-+l+_binary64_352`
3×	`flip3--_binary64_423` `flip--_binary64_394`
2×	`diff-log_binary64_511` `sum-log_binary64_510` `pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `neg-sub0_binary64_414` `exp-diff_binary64_467` `exp-neg_binary64_466` `distribute-lft-out_binary64_370` `distribute-lft-out--_binary64_371` `sub-neg_binary64_412`
1×	`flip3-+_binary64_422` `flip-+_binary64_393` `associate-+l-_binary64_354` `+-commutative_binary64_349` `difference-of-squares_binary64_388`

Counts

2 → 39

Calls

2 calls:

8.0ms	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
4.0ms	(-.f64 (exp.f64 x) 2)

Compiler

Compiled 663 to 349 computations (47.4% saved)

series61.0ms (0.9%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

34.0ms	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
15.0ms	(-.f64 (exp.f64 x) 2)

Compiler

Compiled 283 to 221 computations (21.9% saved)

simplify79.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4844	726
1	4844	726

prune43.0ms (0.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	48	3	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	3	52

Error

0.0b

Counts

52 → 3

Compiler

Compiled 691 to 354 computations (48.8% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))
0.0b	(+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))
0.1b	(*.f64 1/360 (pow.f64 x 6))
0.1b	(*.f64 1/12 (pow.f64 x 4))

rewrite122.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`add-sqr-sqrt_binary64_441`
14×	`add-exp-log_binary64_457` `associate-r_binary64_359`
11×	`add-log-exp_binary64_458`
10×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
8×	`add-cbrt-cube_binary64_455` `unpow-prod-down_binary64_498`
6×	`prod-exp_binary64_468` `unswap-sqr_binary64_387` `associate-l_binary64_360`
4×	`pow1_binary64_480` `sqr-pow_binary64_391` `sum-log_binary64_510`
2×	`pow-to-exp_binary64_488` `pow-exp_binary64_487` `cbrt-unprod_binary64_452` `*-commutative_binary64_350` `flip3-+_binary64_422` `flip-+_binary64_393` `+-commutative_binary64_349`
1×	`associate-+r+_binary64_351`

Counts

4 → 74

Calls

4 calls:

8.0ms	(+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))
6.0ms	(*.f64 1/12 (pow.f64 x 4))
6.0ms	(*.f64 1/360 (pow.f64 x 6))
5.0ms	(+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))

Compiler

Compiled 1750 to 1260 computations (28% saved)

series335.0ms (5.2%)

Error

0.0b

Counts

4 → 21

Calls

4 calls:

145.0ms	(+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))
102.0ms	(+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))
41.0ms	(*.f64 1/360 (pow.f64 x 6))
33.0ms	(*.f64 1/12 (pow.f64 x 4))

Compiler

Compiled 682 to 534 computations (21.7% saved)

simplify84.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5040	1349

prune107.0ms (1.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	93	5	98

Error

Counts

98 → 5

Compiler

Compiled 1893 to 1344 computations (29% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 1/360 (pow.f64 x 6))
0.1b	(*.f64 1/12 (pow.f64 x 4))
0.1b	(pow.f64 (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 x x))) 3)
22.0b	(cbrt.f64 (pow.f64 (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 x x))) 3))

rewrite205.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

26×	`add-sqr-sqrt_binary64_441`
16×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
15×	`add-exp-log_binary64_457`
14×	`unpow-prod-down_binary64_498` `associate-r_binary64_359`
12×	`cbrt-prod_binary64_450`
9×	`add-cbrt-cube_binary64_455`
6×	`cube-prod_binary64_447` `sqr-pow_binary64_391` `prod-exp_binary64_468` `unswap-sqr_binary64_387` `associate-l_binary64_360`
5×	`pow1_binary64_480`
4×	`add-log-exp_binary64_458` `cube-div_binary64_448`
3×	`pow-unpow_binary64_496` `pow-to-exp_binary64_488` `pow-exp_binary64_487`
2×	`flip3-+_binary64_422` `cbrt-div_binary64_451` `flip-+_binary64_393` `unpow3_binary64_485` `cube-mult_binary64_449` `cbrt-unprod_binary64_452` `*-commutative_binary64_350`
1×	`pow1/3_binary64_501` `rem-cbrt-cube_binary64_443` `pow-pow_binary64_491` `rem-cube-cbrt_binary64_442`

Counts

4 → 98

Calls

4 calls:

11.0ms	(pow.f64 (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 x x))) 3)
9.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 x x))) 3))
6.0ms	(*.f64 1/12 (pow.f64 x 4))
5.0ms	(*.f64 1/360 (pow.f64 x 6))

Compiler

Compiled 2997 to 2224 computations (25.8% saved)

series334.0ms (5.2%)

Error

Counts

4 → 27

Calls

4 calls:

150.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 x x))) 3))
89.0ms	(pow.f64 (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 x x))) 3)
37.0ms	(*.f64 1/360 (pow.f64 x 6))
35.0ms	(*.f64 1/12 (pow.f64 x 4))

Compiler

Compiled 891 to 746 computations (16.3% saved)

simplify76.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5059	2541

prune169.0ms (2.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	125	5	130

Error

Counts

130 → 5

Compiler

Compiled 2956 to 2175 computations (26.4% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (exp.f64 x) 2)
0.0b	(-.f64 (exp.f64 x) 2)
0.0b	(pow.f64 (exp.f64 x) -2)
3.2b	(-.f64 (*.f64 (-.f64 (exp.f64 x) 2) (-.f64 (exp.f64 x) 2)) (pow.f64 (exp.f64 x) -2))

rewrite141.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`add-sqr-sqrt_binary64_441` `cancel-sign-sub-inv_binary64_385`
17×	`*-un-lft-identity_binary64_419`
13×	`add-cube-cbrt_binary64_454`
10×	`add-log-exp_binary64_458`
8×	`associate--l+_binary64_356`
7×	`unpow-prod-down_binary64_498`
5×	`pow1_binary64_480` `sub-neg_binary64_412` `difference-of-squares_binary64_388`
4×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368` `pow-pow_binary64_491`
3×	`diff-log_binary64_511` `flip3--_binary64_423` `flip--_binary64_394` `sqr-pow_binary64_391` `pow-unpow_binary64_496` `exp-prod_binary64_471`
2×	`distribute-lft-out--_binary64_371`
1×	`pow-to-exp_binary64_488` `pow-exp_binary64_487`

Counts

4 → 81

Calls

4 calls:

15.0ms	(-.f64 (*.f64 (-.f64 (exp.f64 x) 2) (-.f64 (exp.f64 x) 2)) (pow.f64 (exp.f64 x) -2))
4.0ms	(-.f64 (exp.f64 x) 2)
4.0ms	(-.f64 (exp.f64 x) 2)
3.0ms	(pow.f64 (exp.f64 x) -2)

Compiler

Compiled 2490 to 1424 computations (42.8% saved)

series199.0ms (3.1%)

Error

Counts

4 → 24

Calls

4 calls:

93.0ms	(-.f64 (*.f64 (-.f64 (exp.f64 x) 2) (-.f64 (exp.f64 x) 2)) (pow.f64 (exp.f64 x) -2))
43.0ms	(pow.f64 (exp.f64 x) -2)
19.0ms	(-.f64 (exp.f64 x) 2)
19.0ms	(-.f64 (exp.f64 x) 2)

Compiler

Compiled 1408 to 964 computations (31.5% saved)

simplify82.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5014	1334

prune122.0ms (1.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	105	5	110

Error

Counts

110 → 5

Compiler

Compiled 2808 to 1525 computations (45.7% saved)

regimes135.0ms (2.1%)

Accuracy

Total 0.6b remaining (97.4%)

Threshold costs 0.6b (97.4%)

Compiler

Compiled 1627 to 1195 computations (26.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	22
1	17	22

end0.0ms (0%)

sample3.7s (57%)

Algorithm

1×

intervals

Results

2.1s	4187×	body	2048	valid
445.0ms	2019×	body	1024	valid
111.0ms	977×	body	512	valid
32.0ms	477×	body	256	valid
12.0ms	340×	body	128	valid

Compiler

Compiled 782 to 580 computations (25.8% saved)

Details

analyze183.0ms (2.8%)

sample86.0ms (1.3%)

simplify92.0ms (1.4%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite64.0ms (1%)

series61.0ms (0.9%)

simplify79.0ms (1.2%)

prune43.0ms (0.7%)

localize10.0ms (0.2%)

rewrite122.0ms (1.9%)

series335.0ms (5.2%)

simplify84.0ms (1.3%)

prune107.0ms (1.7%)

localize12.0ms (0.2%)

rewrite205.0ms (3.2%)

series334.0ms (5.2%)

simplify76.0ms (1.2%)

prune169.0ms (2.6%)

localize14.0ms (0.2%)

rewrite141.0ms (2.2%)

series199.0ms (3.1%)

simplify82.0ms (1.3%)

prune122.0ms (1.9%)

regimes135.0ms (2.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.7s (57%)

Profiling