Details

analyze797.0ms (9%)

Algorithm

2×	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%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
0%	62.4%	37.6%	6
12.5%	43.7%	43.8%	7
12.5%	43.7%	43.8%	7
12.5%	43.7%	43.8%	8
12.5%	43.7%	43.8%	8
25%	28.1%	47%	9
25%	28.1%	47%	9
28.1%	20.3%	51.6%	10
28.1%	20.3%	51.6%	10
28.1%	20.3%	51.6%	11
28.1%	20.3%	51.6%	11
34.3%	13.3%	52.4%	12
34.3%	13.3%	52.4%	12
35.9%	9.8%	54.4%	13
35.9%	9.8%	54.4%	13
35.9%	9.8%	54.4%	14
35.9%	9.8%	54.4%	14

Compiler

Compiled 26 to 24 computations (7.7% saved)

sample1.2s (13.7%)

Algorithm

2×

intervals

Results

27.0ms	512×	body	128	valid
23.0ms	562×	body	128	nan
4.0ms	78×	body	128	invalid

Compiler

Compiled 8059 to 9296 computations (-15.3% saved)

simplify331.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (326.0ms)

Iter	Nodes	Cost
0	4889	18
1	4889	18

prune3.0ms (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)))

rewrite110.0ms (1.2%)

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)

series744.0ms (8.4%)

Error

0.0b

Counts

3 → 30

Calls

3 calls:

444.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
204.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
72.0ms	(+.f64 (-.f64 1 z) (log.f64 z))

Compiler

Compiled 903 to 665 computations (26.4% saved)

simplify70.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5370	1270

prune104.0ms (1.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	89	4	93
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	89	5	94

Error

0.0b

Counts

94 → 5

Compiler

Compiled 1482 to 890 computations (39.9% saved)

localize11.0ms (0.1%)

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))
0.2b	(+.f64 (-.f64 y (.f64 z y)) (.f64 (log.f64 z) y))
0.3b	(*.f64 (log.f64 z) y)

rewrite91.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

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:

7.0ms	(+.f64 (.f64 x 1/2) (+.f64 (-.f64 y (.f64 z y)) (*.f64 (log.f64 z) y)))
7.0ms	(*.f64 (log.f64 z) y)
6.0ms	(+.f64 (-.f64 y (.f64 z y)) (.f64 (log.f64 z) y))
3.0ms	(-.f64 y (*.f64 z y))

Compiler

Compiled 1363 to 422 computations (69% saved)

series986.0ms (11.1%)

Error

0.0b

Counts

4 → 40

Calls

4 calls:

444.0ms	(+.f64 (.f64 x 1/2) (+.f64 (-.f64 y (.f64 z y)) (*.f64 (log.f64 z) y)))
235.0ms	(+.f64 (-.f64 y (.f64 z y)) (.f64 (log.f64 z) y))
203.0ms	(*.f64 (log.f64 z) y)
76.0ms	(-.f64 y (*.f64 z y))

Compiler

Compiled 1371 to 948 computations (30.9% saved)

simplify74.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5902	1315

prune99.0ms (1.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	101	6	107

Error

Counts

107 → 6

Compiler

Compiled 1700 to 760 computations (55.3% 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)

rewrite101.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

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:

6.0ms	(*.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)

series516.0ms (5.8%)

Error

Counts

4 → 12

Calls

4 calls:

164.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
114.0ms	(cbrt.f64 y)
114.0ms	(cbrt.f64 y)
112.0ms	(cbrt.f64 y)

Compiler

Compiled 843 to 564 computations (33.1% saved)

simplify71.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune101.0ms (1.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	85	6	91

Error

Counts

91 → 6

Compiler

Compiled 2072 to 728 computations (64.9% 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)

rewrite104.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

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:

8.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 1743 to 746 computations (57.2% saved)

series502.0ms (5.7%)

Error

Counts

4 → 12

Calls

4 calls:

136.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
121.0ms	(cbrt.f64 y)
117.0ms	(cbrt.f64 y)
116.0ms	(cbrt.f64 y)

Compiler

Compiled 771 to 588 computations (23.7% saved)

simplify71.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune97.0ms (1.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	85	6	91

Error

Counts

91 → 6

Compiler

Compiled 1828 to 897 computations (50.9% saved)

regimes543.0ms (6.1%)

Accuracy

Total 0.1b remaining (93%)

Threshold costs 0.1b (93%)

Compiler

Compiled 5013 to 4000 computations (20.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	18
1	26	18

end0.0ms (0%)

sample2.1s (23.4%)

Algorithm

1×

intervals

Results

384.0ms	8000×	body	128	valid
361.0ms	9168×	body	128	nan
59.0ms	1191×	body	128	invalid

Compiler

Compiled 744 to 596 computations (19.9% saved)

Details

analyze797.0ms (9%)

sample1.2s (13.7%)

simplify331.0ms (3.7%)

prune3.0ms (0%)

localize9.0ms (0.1%)

rewrite110.0ms (1.2%)

series744.0ms (8.4%)

simplify70.0ms (0.8%)

prune104.0ms (1.2%)

localize11.0ms (0.1%)

rewrite91.0ms (1%)

series986.0ms (11.1%)

simplify74.0ms (0.8%)

prune99.0ms (1.1%)

localize14.0ms (0.2%)

rewrite101.0ms (1.1%)

series516.0ms (5.8%)

simplify71.0ms (0.8%)

prune101.0ms (1.1%)

localize14.0ms (0.2%)

rewrite104.0ms (1.2%)

series502.0ms (5.7%)

simplify71.0ms (0.8%)

prune97.0ms (1.1%)

regimes543.0ms (6.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.1s (23.4%)

Profiling