Details

analyze577.0ms (8.8%)

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)

sample23.0ms (0.4%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
0.0ms	8×	body	128	invalid
0.0ms	2×	body	128	nan

Compiler

Compiled 25 to 26 computations (-4% saved)

simplify347.0ms (5.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (342.0ms)

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)

localize12.0ms (0.2%)

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))
0.1b	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))

rewrite95.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`*-un-lft-identity_binary64_12354`
9×	`pow1_binary64_12415` `add-sqr-sqrt_binary64_12376`
8×	`add-log-exp_binary64_12393` `distribute-lft-out_binary64_12305`
7×	`add-cube-cbrt_binary64_12389` `associate-r_binary64_12294`
5×	`add-exp-log_binary64_12392` `add-cbrt-cube_binary64_12390` `associate-+r+_binary64_12286`
4×	`log-pow_binary64_12443` `distribute-lft-out--_binary64_12306` `associate-+l+_binary64_12287`
3×	`flip3-+_binary64_12357` `flip-+_binary64_12328` `associate-l_binary64_12295` `sum-log_binary64_12445` `cancel-sign-sub-inv_binary64_12320` `log-prod_binary64_12440`
2×	`distribute-rgt-in_binary64_12304` `distribute-lft-in_binary64_12303` `associate-*r/_binary64_12296` `+-commutative_binary64_12284`
1×	`pow-prod-down_binary64_12425` `prod-exp_binary64_12403` `cbrt-unprod_binary64_12387` `unswap-sqr_binary64_12322` `*-commutative_binary64_12285` `diff-log_binary64_12446` `associate-+l-_binary64_12289` `sub-neg_binary64_12347`

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)

series497.0ms (7.6%)

Error

0.1b

Counts

3 → 30

Calls

3 calls:

293.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
132.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
47.0ms	(+.f64 (-.f64 1 z) (log.f64 z))

Compiler

Compiled 903 to 665 computations (26.4% saved)

simplify69.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5370	1270

prune88.0ms (1.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	88	5	93
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	88	6	94

Error

0.0b

Counts

94 → 6

Compiler

Compiled 1519 to 918 computations (39.6% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z))))
0.2b	(+.f64 (+.f64 (-.f64 1 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z)))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite116.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`*-un-lft-identity_binary64_12354`
12×	`add-sqr-sqrt_binary64_12376`
10×	`add-log-exp_binary64_12393` `add-cube-cbrt_binary64_12389`
9×	`cbrt-prod_binary64_12385`
8×	`pow1_binary64_12415`
6×	`add-exp-log_binary64_12392` `add-cbrt-cube_binary64_12390` `log-prod_binary64_12440` `associate-+r+_binary64_12286`
5×	`sum-log_binary64_12445` `associate-r_binary64_12294`
4×	`distribute-lft-out_binary64_12305`
3×	`associate-l_binary64_12295`
2×	`pow1/3_binary64_12436` `flip3-+_binary64_12357` `flip-+_binary64_12328` `log-pow_binary64_12443` `associate-+l-_binary64_12289` `associate-*r/_binary64_12296`
1×	`diff-log_binary64_12446` `associate-+l+_binary64_12287` `+-commutative_binary64_12284` `pow-prod-down_binary64_12425` `prod-exp_binary64_12403` `cbrt-unprod_binary64_12387` `unswap-sqr_binary64_12322` `distribute-rgt-in_binary64_12304` `distribute-lft-in_binary64_12303` `*-commutative_binary64_12285`

Counts

4 → 69

Calls

4 calls:

13.0ms	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z))))
12.0ms	(+.f64 (+.f64 (-.f64 1 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z)))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

Compiler

Compiled 1905 to 1024 computations (46.2% saved)

series558.0ms (8.5%)

Error

0.0b

Counts

4 → 19

Calls

4 calls:

274.0ms	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z))))
114.0ms	(+.f64 (+.f64 (-.f64 1 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z)))
77.0ms	(cbrt.f64 z)
73.0ms	(cbrt.f64 z)

Compiler

Compiled 922 to 782 computations (15.2% saved)

simplify56.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5010	1012

prune94.0ms (1.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	0	4	4
Picked	1	0	1
Done	1	0	1
Total	89	5	94

Error

0.0b

Counts

94 → 5

Compiler

Compiled 1875 to 1101 computations (41.3% 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))
0.2b	(+.f64 (-.f64 y (.f64 z y)) (.f64 (log.f64 z) y))
0.3b	(*.f64 (log.f64 z) y)

rewrite79.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`add-log-exp_binary64_12393`
8×	`add-sqr-sqrt_binary64_12376`
7×	`pow1_binary64_12415` `*-un-lft-identity_binary64_12354` `sum-log_binary64_12445`
6×	`add-exp-log_binary64_12392` `add-cbrt-cube_binary64_12390` `add-cube-cbrt_binary64_12389`
4×	`associate-l_binary64_12295`
3×	`associate-r_binary64_12294` `diff-log_binary64_12446`
2×	`flip3-+_binary64_12357` `flip-+_binary64_12328` `associate-+l-_binary64_12289` `sub-neg_binary64_12347` `associate-+l+_binary64_12287` `cancel-sign-sub-inv_binary64_12320` `+-commutative_binary64_12284`
1×	`pow-prod-down_binary64_12425` `prod-exp_binary64_12403` `cbrt-unprod_binary64_12387` `unswap-sqr_binary64_12322` `log-pow_binary64_12443` `*-commutative_binary64_12285` `flip3--_binary64_12358` `flip--_binary64_12329` `distribute-rgt-out--_binary64_12308` `associate-+r-_binary64_12288` `associate-+r+_binary64_12286`

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)

series649.0ms (9.9%)

Error

0.0b

Counts

4 → 40

Calls

4 calls:

292.0ms	(+.f64 (.f64 x 1/2) (+.f64 (-.f64 y (.f64 z y)) (*.f64 (log.f64 z) y)))
152.0ms	(+.f64 (-.f64 y (.f64 z y)) (.f64 (log.f64 z) y))
127.0ms	(*.f64 (log.f64 z) y)
52.0ms	(-.f64 y (*.f64 z y))

Compiler

Compiled 1371 to 948 computations (30.9% saved)

simplify75.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5902	1315

prune88.0ms (1.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	100	2	102
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	100	7	107

Error

0.0b

Counts

107 → 7

Compiler

Compiled 1767 to 804 computations (54.5% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 y (+.f64 (.f64 (log.f64 z) 2/3) (-.f64 1 z)))
0.2b	(*.f64 (log.f64 (cbrt.f64 z)) y)
0.4b	(*.f64 (log.f64 z) 2/3)
0.6b	(cbrt.f64 z)

rewrite109.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

17×	`add-sqr-sqrt_binary64_12376`
12×	`pow1_binary64_12415` `associate-l_binary64_12295`
11×	`add-cube-cbrt_binary64_12389` `*-un-lft-identity_binary64_12354`
10×	`add-exp-log_binary64_12392` `add-cbrt-cube_binary64_12390`
9×	`associate-r_binary64_12294`
4×	`add-log-exp_binary64_12393`
3×	`cbrt-prod_binary64_12385` `pow-prod-down_binary64_12425` `prod-exp_binary64_12403` `cbrt-unprod_binary64_12387` `unswap-sqr_binary64_12322` `log-pow_binary64_12443` `*-commutative_binary64_12285`
2×	`pow1/3_binary64_12436` `associate-*r/_binary64_12296`
1×	`distribute-rgt-in_binary64_12304` `distribute-lft-in_binary64_12303` `flip3-+_binary64_12357` `flip-+_binary64_12328`

Counts

4 → 72

Calls

4 calls:

9.0ms	(.f64 y (+.f64 (.f64 (log.f64 z) 2/3) (-.f64 1 z)))
5.0ms	(*.f64 (log.f64 (cbrt.f64 z)) y)
4.0ms	(*.f64 (log.f64 z) 2/3)
1.0ms	(cbrt.f64 z)

Compiler

Compiled 1900 to 1037 computations (45.4% saved)

series585.0ms (9%)

Error

Counts

4 → 20

Calls

4 calls:

255.0ms	(*.f64 (log.f64 (cbrt.f64 z)) y)
166.0ms	(.f64 y (+.f64 (.f64 (log.f64 z) 2/3) (-.f64 1 z)))
81.0ms	(cbrt.f64 z)
61.0ms	(*.f64 (log.f64 z) 2/3)

Compiler

Compiled 1249 to 962 computations (23% saved)

simplify54.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5062	1019

prune103.0ms (1.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	90	2	92
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	93	6	99

Error

Counts

99 → 6

Compiler

Compiled 2193 to 1179 computations (46.2% saved)

regimes623.0ms (9.5%)

Accuracy

Total 0.1b remaining (97.4%)

Threshold costs 0.1b (97.4%)

Compiler

Compiled 6819 to 5400 computations (20.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	18
1	26	18

end0.0ms (0%)

sample1.6s (24.4%)

Algorithm

1×

intervals

Results

387.0ms	8000×	body	128	valid
19.0ms	305×	body	128	invalid
2.0ms	65×	body	128	nan

Compiler

Compiled 1002 to 796 computations (20.6% saved)

Details

analyze577.0ms (8.8%)

sample23.0ms (0.4%)

simplify347.0ms (5.3%)

prune2.0ms (0%)

localize12.0ms (0.2%)

rewrite95.0ms (1.5%)

series497.0ms (7.6%)

simplify69.0ms (1.1%)

prune88.0ms (1.3%)

localize13.0ms (0.2%)

rewrite116.0ms (1.8%)

series558.0ms (8.5%)

simplify56.0ms (0.9%)

prune94.0ms (1.4%)

localize10.0ms (0.2%)

rewrite79.0ms (1.2%)

series649.0ms (9.9%)

simplify75.0ms (1.1%)

prune88.0ms (1.3%)

localize18.0ms (0.3%)

rewrite109.0ms (1.7%)

series585.0ms (9%)

simplify54.0ms (0.8%)

prune103.0ms (1.6%)

regimes623.0ms (9.5%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.6s (24.4%)

Profiling