Details

analyze722.0ms (9.1%)

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)

sample28.0ms (0.4%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
1.0ms	13×	body	128	invalid

Compiler

Compiled 25 to 26 computations (-4% saved)

simplify385.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (379.0ms)

Iter	Nodes	Cost
0	4889	18
1	4889	18

prune4.0ms (0.1%)

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)

localize25.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite112.0ms (1.4%)

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:

15.0ms	(*.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)

series597.0ms (7.5%)

Error

0.0b

Counts

3 → 30

Calls

3 calls:

343.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
167.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
64.0ms	(+.f64 (-.f64 1 z) (log.f64 z))

Compiler

Compiled 903 to 665 computations (26.4% saved)

simplify70.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5370	1270

prune126.0ms (1.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	85	8	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	8	94

Error

0.0b

Counts

94 → 8

Compiler

Compiled 1600 to 982 computations (38.6% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite124.0ms (1.6%)

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-+r-_binary64_8537` `+-commutative_binary64_8533` `sub-neg_binary64_8596` `associate-+r+_binary64_8535` `cancel-sign-sub-inv_binary64_8569`
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` `associate-+l-_binary64_8538` `associate-+l+_binary64_8536` `flip3--_binary64_8607` `flip--_binary64_8578` `distribute-rgt-out--_binary64_8557`

Counts

4 → 62

Calls

4 calls:

14.0ms	(+.f64 (+.f64 (.f64 1/2 x) (-.f64 y (.f64 z y))) (*.f64 (log.f64 z) y))
11.0ms	(+.f64 (.f64 1/2 x) (-.f64 y (.f64 z y)))
7.0ms	(*.f64 (log.f64 z) y)
6.0ms	(-.f64 y (*.f64 z y))

Compiler

Compiled 1353 to 484 computations (64.2% saved)

series755.0ms (9.5%)

Error

0.0b

Counts

4 → 50

Calls

4 calls:

327.0ms	(+.f64 (+.f64 (.f64 1/2 x) (-.f64 y (.f64 z y))) (*.f64 (log.f64 z) y))
194.0ms	(*.f64 (log.f64 z) y)
140.0ms	(+.f64 (.f64 1/2 x) (-.f64 y (.f64 z y)))
66.0ms	(-.f64 y (*.f64 z y))

Compiler

Compiled 1640 to 1096 computations (33.2% saved)

simplify112.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	5748	1420

prune113.0ms (1.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	110	2	112
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	111	9	120

Error

0.0b

Counts

120 → 9

Compiler

Compiled 1962 to 835 computations (57.4% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.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)

rewrite164.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`*-un-lft-identity_binary64_8603`
12×	`add-sqr-sqrt_binary64_8625`
10×	`add-log-exp_binary64_8642` `add-cube-cbrt_binary64_8638`
9×	`cbrt-prod_binary64_8634`
8×	`pow1_binary64_8664`
6×	`add-exp-log_binary64_8641` `add-cbrt-cube_binary64_8639` `log-prod_binary64_8689` `associate-+r+_binary64_8535`
5×	`sum-log_binary64_8694` `associate-r_binary64_8543`
4×	`distribute-lft-out_binary64_8554`
3×	`associate-l_binary64_8544`
2×	`pow1/3_binary64_8685` `flip3-+_binary64_8606` `flip-+_binary64_8577` `log-pow_binary64_8692` `associate-+l-_binary64_8538` `associate-*r/_binary64_8545`
1×	`diff-log_binary64_8695` `associate-+l+_binary64_8536` `+-commutative_binary64_8533` `pow-prod-down_binary64_8674` `prod-exp_binary64_8652` `cbrt-unprod_binary64_8636` `unswap-sqr_binary64_8571` `distribute-rgt-in_binary64_8553` `distribute-lft-in_binary64_8552` `*-commutative_binary64_8534`

Counts

4 → 69

Calls

4 calls:

24.0ms	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z))))
24.0ms	(+.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)

series691.0ms (8.7%)

Error

Counts

4 → 19

Calls

4 calls:

349.0ms	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z))))
136.0ms	(+.f64 (+.f64 (-.f64 1 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z)))
97.0ms	(cbrt.f64 z)
82.0ms	(cbrt.f64 z)

Compiler

Compiled 922 to 782 computations (15.2% saved)

simplify57.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5010	1012

prune95.0ms (1.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	86	2	88
Fresh	3	4	7
Picked	1	0	1
Done	0	1	1
Total	90	7	97

Error

Counts

97 → 7

Compiler

Compiled 1902 to 1120 computations (41.1% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (cbrt.f64 z))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite72.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`cbrt-prod_binary64_8634`
9×	`add-cube-cbrt_binary64_8638` `add-sqr-sqrt_binary64_8625` `*-un-lft-identity_binary64_8603`
4×	`pow1/3_binary64_8685` `pow1_binary64_8664` `add-log-exp_binary64_8642` `add-exp-log_binary64_8641` `add-cbrt-cube_binary64_8639`

Counts

4 → 47

Calls

4 calls:

2.0ms	(cbrt.f64 (cbrt.f64 z))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

Compiler

Compiled 1386 to 625 computations (54.9% saved)

series377.0ms (4.8%)

Error

Counts

4 → 12

Calls

4 calls:

101.0ms	(cbrt.f64 (cbrt.f64 z))
94.0ms	(cbrt.f64 z)
92.0ms	(cbrt.f64 z)
76.0ms	(cbrt.f64 z)

Compiler

Compiled 993 to 752 computations (24.3% saved)

simplify100.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4718	376
1	4718	376

prune71.0ms (0.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	59	7	66

Error

Counts

66 → 7

Compiler

Compiled 1653 to 798 computations (51.7% saved)

regimes855.0ms (10.8%)

Accuracy

Total 0.1b remaining (95.4%)

Threshold costs 0.1b (95.4%)

Compiler

Compiled 7519 to 5953 computations (20.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	18
1	26	18

end0.0ms (0%)

sample2.2s (27.9%)

Algorithm

1×

intervals

Results

475.0ms	8000×	body	128	valid
22.0ms	295×	body	128	invalid
3.0ms	67×	body	128	nan

Compiler

Compiled 1102 to 875 computations (20.6% saved)

Details

analyze722.0ms (9.1%)

sample28.0ms (0.4%)

simplify385.0ms (4.9%)

prune4.0ms (0.1%)

localize25.0ms (0.3%)

rewrite112.0ms (1.4%)

series597.0ms (7.5%)

simplify70.0ms (0.9%)

prune126.0ms (1.6%)

localize21.0ms (0.3%)

rewrite124.0ms (1.6%)

series755.0ms (9.5%)

simplify112.0ms (1.4%)

prune113.0ms (1.4%)

localize13.0ms (0.2%)

rewrite164.0ms (2.1%)

series691.0ms (8.7%)

simplify57.0ms (0.7%)

prune95.0ms (1.2%)

localize18.0ms (0.2%)

rewrite72.0ms (0.9%)

series377.0ms (4.8%)

simplify100.0ms (1.3%)

prune71.0ms (0.9%)

regimes855.0ms (10.8%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.2s (27.9%)

Profiling