Details

analyze586.0ms (9.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5270	72
0	3	3
1	3	3

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
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
12.5%	43.7%	43.8%	7
12.5%	43.7%	43.8%	8
25%	28.1%	47%	9
28.1%	20.3%	51.6%	10
28.1%	20.3%	51.6%	11
34.3%	13.3%	52.4%	12
35.9%	9.8%	54.4%	13
35.9%	9.8%	54.4%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample27.0ms (0.5%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
1.0ms	17×	body	128	invalid
0.0ms	2×	body	128	nan

Compiler

Compiled 25 to 26 computations (-4% saved)

simplify351.0ms (5.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (346.0ms)

Iter	Nodes	Cost
0	4889	18
1	4889	18

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

0.1b

Counts

2 → 1

Compiler

Compiled 24 to 22 computations (8.3% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
0.0b	(+.f64 (-.f64 1 z) (log.f64 z))
0.2b	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))

rewrite95.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`*-un-lft-identity_binary64_8603`
9×	`pow1_binary64_8664` `add-sqr-sqrt_binary64_8625`
8×	`add-log-exp_binary64_8642` `distribute-lft-out_binary64_8554`
7×	`add-cube-cbrt_binary64_8638` `associate-r_binary64_8543`
5×	`add-exp-log_binary64_8641` `add-cbrt-cube_binary64_8639` `associate-+r+_binary64_8535`
4×	`log-pow_binary64_8692` `distribute-lft-out--_binary64_8555` `associate-+l+_binary64_8536`
3×	`flip3-+_binary64_8606` `flip-+_binary64_8577` `associate-l_binary64_8544` `sum-log_binary64_8694` `cancel-sign-sub-inv_binary64_8569` `log-prod_binary64_8689`
2×	`distribute-rgt-in_binary64_8553` `distribute-lft-in_binary64_8552` `associate-*r/_binary64_8545` `+-commutative_binary64_8533`
1×	`pow-prod-down_binary64_8674` `prod-exp_binary64_8652` `cbrt-unprod_binary64_8636` `unswap-sqr_binary64_8571` `*-commutative_binary64_8534` `diff-log_binary64_8695` `associate-+l-_binary64_8538` `sub-neg_binary64_8596`

Counts

3 → 63

Calls

3 calls:

11.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
8.0ms	(+.f64 (-.f64 1 z) (log.f64 z))
6.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))

Compiler

Compiled 1231 to 755 computations (38.7% saved)

series485.0ms (8%)

Error

0.0b

Counts

3 → 30

Calls

3 calls:

275.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
129.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
58.0ms	(+.f64 (-.f64 1 z) (log.f64 z))

Compiler

Compiled 903 to 665 computations (26.4% saved)

simplify75.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5370	1270

prune94.0ms (1.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	87	6	93
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	87	7	94

Error

0.0b

Counts

94 → 7

Compiler

Compiled 1535 to 932 computations (39.3% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x 1/2) (+.f64 (-.f64 y (.f64 z y)) (*.f64 (log.f64 z) y)))
0.0b	(-.f64 y (*.f64 z y))
0.1b	(+.f64 (-.f64 y (.f64 z y)) (.f64 (log.f64 z) y))
0.3b	(*.f64 (log.f64 z) y)

rewrite79.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`add-log-exp_binary64_8642`
8×	`add-sqr-sqrt_binary64_8625`
7×	`pow1_binary64_8664` `*-un-lft-identity_binary64_8603` `sum-log_binary64_8694`
6×	`add-exp-log_binary64_8641` `add-cbrt-cube_binary64_8639` `add-cube-cbrt_binary64_8638`
4×	`associate-l_binary64_8544`
3×	`associate-r_binary64_8543` `diff-log_binary64_8695`
2×	`flip3-+_binary64_8606` `flip-+_binary64_8577` `associate-+l-_binary64_8538` `sub-neg_binary64_8596` `associate-+l+_binary64_8536` `cancel-sign-sub-inv_binary64_8569` `+-commutative_binary64_8533`
1×	`pow-prod-down_binary64_8674` `prod-exp_binary64_8652` `cbrt-unprod_binary64_8636` `unswap-sqr_binary64_8571` `log-pow_binary64_8692` `*-commutative_binary64_8534` `flip3--_binary64_8607` `flip--_binary64_8578` `distribute-rgt-out--_binary64_8557` `associate-+r-_binary64_8537` `associate-+r+_binary64_8535`

Counts

4 → 62

Calls

4 calls:

8.0ms	(+.f64 (.f64 x 1/2) (+.f64 (-.f64 y (.f64 z y)) (*.f64 (log.f64 z) y)))
6.0ms	(+.f64 (-.f64 y (.f64 z y)) (.f64 (log.f64 z) y))
4.0ms	(*.f64 (log.f64 z) y)
3.0ms	(-.f64 y (*.f64 z y))

Compiler

Compiled 1363 to 422 computations (69% saved)

series651.0ms (10.8%)

Error

0.0b

Counts

4 → 40

Calls

4 calls:

288.0ms	(+.f64 (.f64 x 1/2) (+.f64 (-.f64 y (.f64 z y)) (*.f64 (log.f64 z) y)))
150.0ms	(+.f64 (-.f64 y (.f64 z y)) (.f64 (log.f64 z) y))
129.0ms	(*.f64 (log.f64 z) y)
60.0ms	(-.f64 y (*.f64 z y))

Compiler

Compiled 1371 to 948 computations (30.9% saved)

simplify75.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5902	1315

prune85.0ms (1.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	99	3	102
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	102	7	109

Error

0.0b

Counts

109 → 7

Compiler

Compiled 1739 to 782 computations (55% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite86.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_8634`
23×	`add-sqr-sqrt_binary64_8625`
15×	`add-cube-cbrt_binary64_8638` `*-un-lft-identity_binary64_8603`
11×	`pow1_binary64_8664`
9×	`pow1/3_binary64_8685`
6×	`add-exp-log_binary64_8641` `swap-sqr_binary64_8570` `associate-l_binary64_8544` `associate-r_binary64_8543`
4×	`add-log-exp_binary64_8642` `add-cbrt-cube_binary64_8639` `unswap-sqr_binary64_8571`
2×	`pow-prod-down_binary64_8674` `pow-prod-up_binary64_8673` `pow-sqr_binary64_8576`
1×	`pow2_binary64_8684` `pow-plus_binary64_8666` `prod-exp_binary64_8652` `cbrt-unprod_binary64_8636` `*-commutative_binary64_8534`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 1889 to 585 computations (69% saved)

series326.0ms (5.4%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

94.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
76.0ms	(cbrt.f64 y)
74.0ms	(cbrt.f64 y)
69.0ms	(cbrt.f64 y)

Compiler

Compiled 843 to 564 computations (33.1% saved)

simplify75.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune82.0ms (1.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	86	6	92

Error

0.0b

Counts

92 → 6

Compiler

Compiled 2094 to 738 computations (64.8% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 (log.f64 z) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
0.3b	(.f64 (log.f64 z) (cbrt.f64 (.f64 y y)))
0.6b	(cbrt.f64 y)
26.4b	(cbrt.f64 (*.f64 y y))

rewrite76.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`pow1_binary64_8664` `add-sqr-sqrt_binary64_8625`
11×	`add-exp-log_binary64_8641`
10×	`associate-r_binary64_8543`
9×	`add-cube-cbrt_binary64_8638` `cbrt-prod_binary64_8634` `*-un-lft-identity_binary64_8603`
7×	`add-cbrt-cube_binary64_8639`
5×	`associate-l_binary64_8544`
4×	`add-log-exp_binary64_8642` `pow-prod-down_binary64_8674` `prod-exp_binary64_8652` `cbrt-unprod_binary64_8636`
2×	`pow1/3_binary64_8685` `unswap-sqr_binary64_8571` `*-commutative_binary64_8534`
1×	`log-pow_binary64_8692`

Counts

4 → 62

Calls

4 calls:

7.0ms	(.f64 (log.f64 z) (cbrt.f64 (.f64 y y)))
7.0ms	(.f64 (.f64 (log.f64 z) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
2.0ms	(cbrt.f64 (*.f64 y y))
1.0ms	(cbrt.f64 y)

Compiler

Compiled 1584 to 449 computations (71.7% saved)

series558.0ms (9.3%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

258.0ms	(.f64 (log.f64 z) (cbrt.f64 (.f64 y y)))
136.0ms	(.f64 (.f64 (log.f64 z) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
81.0ms	(cbrt.f64 (*.f64 y y))
70.0ms	(cbrt.f64 y)

Compiler

Compiled 1092 to 769 computations (29.6% saved)

simplify68.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5240	695

prune72.0ms (1.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	80	6	86

Error

0.0b

Counts

86 → 6

Compiler

Compiled 1698 to 643 computations (62.1% saved)

regimes562.0ms (9.3%)

Accuracy

Total 0.1b remaining (93.5%)

Threshold costs 0.1b (93.5%)

Compiler

Compiled 5907 to 4678 computations (20.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	21
1	43	21

end0.0ms (0%)

sample1.5s (24.3%)

Algorithm

1×

intervals

Results

392.0ms	8000×	body	128	valid
15.0ms	327×	body	128	invalid
3.0ms	76×	body	128	nan

Compiler

Compiled 835 to 661 computations (20.8% saved)

Details

analyze586.0ms (9.7%)

sample27.0ms (0.5%)

simplify351.0ms (5.8%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite95.0ms (1.6%)

series485.0ms (8%)

simplify75.0ms (1.3%)

prune94.0ms (1.6%)

localize10.0ms (0.2%)

rewrite79.0ms (1.3%)

series651.0ms (10.8%)

simplify75.0ms (1.2%)

prune85.0ms (1.4%)

localize14.0ms (0.2%)

rewrite86.0ms (1.4%)

series326.0ms (5.4%)

simplify75.0ms (1.2%)

prune82.0ms (1.4%)

localize14.0ms (0.2%)

rewrite76.0ms (1.3%)

series558.0ms (9.3%)

simplify68.0ms (1.1%)

prune72.0ms (1.2%)

regimes562.0ms (9.3%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.5s (24.3%)

Profiling