Details

analyze334.0ms (5.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
0%	31.2%	68.8%	7
0%	31.2%	68.8%	8
0%	31.2%	68.8%	9
0%	28.1%	71.9%	10
6.1%	20.4%	73.5%	11
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
9.2%	16.6%	74.3%	14

Compiler

Compiled 18 to 17 computations (5.6% saved)

sample44.0ms (0.7%)

Algorithm

1×

intervals

Results

14.0ms	194×	body	80	valid
8.0ms	22×	body	640	valid
6.0ms	25×	body	320	valid
4.0ms	4×	body	1280	valid
2.0ms	11×	body	160	valid
1.0ms	7×	body	80	nan

Compiler

Compiled 35 to 37 computations (-5.7% saved)

simplify561.0ms (8.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (543.0ms)

Iter	Nodes	Cost
0	6586	26

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

Merged error: 7.2b

Counts

2 → 1

Compiler

Compiled 34 to 32 computations (5.9% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
0.0b	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y))))
0.2b	(*.f64 (-.f64 x 1) (log.f64 y))
4.8b	(log.f64 (-.f64 1 y))

rewrite48.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`add-sqr-sqrt_binary64`
42×	`log-prod_binary64`
38×	`*-un-lft-identity_binary64`
18×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
17×	`add-cube-cbrt_binary64`
14×	`associate-l_binary64` `difference-of-squares_binary64`
12×	`associate-+r+_binary64` `associate-*l/_binary64`
11×	`pow1_binary64`
9×	`add-exp-log_binary64`
8×	`associate-r_binary64` `add-cbrt-cube_binary64`
7×	`flip3--_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
6×	`add-log-exp_binary64` `associate-+l+_binary64`
4×	`frac-add_binary64` `insert-posit16`
3×	`log-pow_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `difference-of-sqr-1_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `log-div_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `rem-log-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 122

Calls

4 calls:

16.0ms	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y))))
13.0ms	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
9.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
5.0ms	(log.f64 (-.f64 1 y))

series301.0ms (4.6%)

Counts

4 → 12

Calls

4 calls:

146.0ms	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y))))
72.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
56.0ms	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
28.0ms	(log.f64 (-.f64 1 y))

simplify76.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4968	2612
1	4968	2612

prune198.0ms (3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	126	8	134
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	127	8	135

Merged error: 0.1b

Counts

135 → 8

Compiler

Compiled 3488 to 2365 computations (32.2% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite47.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-log-exp_binary64`
18×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64`
12×	`log-prod_binary64`
10×	`add-cube-cbrt_binary64`
7×	`pow1_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `sum-log_binary64`
6×	`associate-+l+_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-*l/_binary64`
4×	`flip3-+_binary64` `flip3--_binary64` `associate-r_binary64` `frac-add_binary64` `insert-posit16` `flip--_binary64` `flip-+_binary64`
3×	`sub-neg_binary64` `diff-log_binary64` `difference-of-squares_binary64` `associate-+r+_binary64`
2×	`distribute-lft-out--_binary64` `+-commutative_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `log-pow_binary64` `difference-of-sqr-1_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate--l+_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

16.0ms	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (+.f64 y (.f64 y (-.f64 (*.f64 1/2 y) z)))) t)
13.0ms	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (+.f64 y (.f64 y (-.f64 (*.f64 1/2 y) z))))
10.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
5.0ms	(+.f64 y (.f64 y (-.f64 (.f64 1/2 y) z)))

series457.0ms (7%)

Counts

4 → 12

Calls

4 calls:

206.0ms	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (+.f64 y (.f64 y (-.f64 (*.f64 1/2 y) z)))) t)
134.0ms	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (+.f64 y (.f64 y (-.f64 (*.f64 1/2 y) z))))
76.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
42.0ms	(+.f64 y (.f64 y (-.f64 (.f64 1/2 y) z)))

simplify107.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4933	2437
1	4933	2437

prune131.0ms (2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	99	8	107

Merged error: 0.0b

Counts

107 → 8

Compiler

Compiled 2779 to 1690 computations (39.2% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite18.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
20×	`pow1_binary64`
17×	`*-un-lft-identity_binary64`
15×	`add-cube-cbrt_binary64`
9×	`swap-sqr_binary64` `pow1/3_binary64` `log-pow_binary64`
7×	`associate-r_binary64` `associate-l_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `insert-posit16`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 85

Calls

4 calls:

10.0ms	(*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))
2.0ms	(cbrt.f64 (log.f64 y))
2.0ms	(cbrt.f64 (log.f64 y))
1.0ms	(cbrt.f64 (log.f64 y))

series1.1s (16.8%)

Counts

4 → 12

Calls

4 calls:

289.0ms	(*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))
269.0ms	(cbrt.f64 (log.f64 y))
268.0ms	(cbrt.f64 (log.f64 y))
267.0ms	(cbrt.f64 (log.f64 y))

simplify150.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (126.0ms)

Iter	Nodes	Cost
0	4905	859
1	4905	859

prune128.0ms (2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	2	4	6
Picked	0	1	1
Done	1	0	1
Total	99	6	105

Merged error: 0.0b

Counts

105 → 6

Compiler

Compiled 2995 to 1444 computations (51.8% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (.f64 (-.f64 x 1) (pow.f64 (pow.f64 (log.f64 y) 2) 1/3)) (cbrt.f64 (log.f64 y)))
0.5b	(pow.f64 (log.f64 y) 2)
0.5b	(cbrt.f64 (log.f64 y))
1.2b	(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)

rewrite31.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-exp-log_binary64`
17×	`unpow-prod-down_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
11×	`pow1_binary64` `prod-exp_binary64`
9×	`pow-exp_binary64`
8×	`add-cbrt-cube_binary64` `cbrt-prod_binary64`
7×	`associate-r_binary64`
6×	`pow-unpow_binary64`
5×	`pow-to-exp_binary64` `cbrt-unprod_binary64`
4×	`add-log-exp_binary64` `log-pow_binary64` `insert-posit16` `associate-*l/_binary64`
3×	`sqr-pow_binary64`
2×	`unpow2_binary64` `pow-pow_binary64` `unpow1/3_binary64`
1×	`pow-prod-down_binary64` `flip3--_binary64` `pow1/3_binary64` `associate-l_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

4 → 89

Calls

4 calls:

16.0ms	(.f64 (.f64 (-.f64 x 1) (pow.f64 (pow.f64 (log.f64 y) 2) 1/3)) (cbrt.f64 (log.f64 y)))
5.0ms	(pow.f64 (log.f64 y) 2)
5.0ms	(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)
1.0ms	(cbrt.f64 (log.f64 y))

series752.0ms (11.5%)

Counts

4 → 12

Calls

4 calls:

283.0ms	(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)
271.0ms	(cbrt.f64 (log.f64 y))
121.0ms	(pow.f64 (log.f64 y) 2)
76.0ms	(.f64 (.f64 (-.f64 x 1) (pow.f64 (pow.f64 (log.f64 y) 2) 1/3)) (cbrt.f64 (log.f64 y)))

simplify120.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4843	1139
1	4843	1139

prune136.0ms (2.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	101	6	107

Merged error: 0.0b

Counts

107 → 6

Compiler

Compiled 2800 to 1615 computations (42.3% saved)

regimes119.0ms (1.8%)

Compiler: Compiled 1108 to 947 computations (14.5% saved)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	63	54
1	63	54

end0.0ms (0%)

sample1.6s (24.5%)

Algorithm

1×

intervals

Results

420.0ms	5836×	body	80	valid
275.0ms	746×	body	640	valid
183.0ms	266×	body	1280	valid
164.0ms	702×	body	320	valid
67.0ms	450×	body	160	valid
17.0ms	228×	body	80	nan
2.0ms	32×	body	80	invalid

Compiler

Compiled 219 to 183 computations (16.4% saved)

Details

analyze334.0ms (5.1%)

sample44.0ms (0.7%)

simplify561.0ms (8.6%)

prune3.0ms (0%)

localize13.0ms (0.2%)

rewrite48.0ms (0.7%)

series301.0ms (4.6%)

simplify76.0ms (1.2%)

prune198.0ms (3%)

localize14.0ms (0.2%)

rewrite47.0ms (0.7%)

series457.0ms (7%)

simplify107.0ms (1.6%)

prune131.0ms (2%)

localize18.0ms (0.3%)

rewrite18.0ms (0.3%)

series1.1s (16.8%)

simplify150.0ms (2.3%)

prune128.0ms (2%)

localize22.0ms (0.3%)

rewrite31.0ms (0.5%)

series752.0ms (11.5%)

simplify120.0ms (1.8%)

prune136.0ms (2.1%)

regimes119.0ms (1.8%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample1.6s (24.5%)

Profiling