Details

analyze327.0ms (5%)

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)

sample43.0ms (0.7%)

Algorithm

1×

intervals

Results

15.0ms	199×	body	128	valid
8.0ms	28×	body	512	valid
5.0ms	8×	body	1024	valid
3.0ms	21×	body	256	valid
1.0ms	7×	body	128	nan

Compiler

Compiled 35 to 37 computations (-5.7% saved)

simplify351.0ms (5.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (344.0ms)

Iter	Nodes	Cost
0	6585	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))

rewrite51.0ms (0.8%)

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`
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 → 118

Calls

4 calls:

14.0ms	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y))))
11.0ms	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
9.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
4.0ms	(log.f64 (-.f64 1 y))

series292.0ms (4.5%)

Counts

4 → 12

Calls

4 calls:

149.0ms	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y))))
69.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
50.0ms	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
24.0ms	(log.f64 (-.f64 1 y))

simplify84.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4917	2554
1	4917	2554

prune342.0ms (5.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	122	8	130
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	123	8	131

Merged error: 0.1b

Counts

131 → 8

Compiler

Compiled 6295 to 4801 computations (23.7% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 (*.f64 y 1/3) 1/2)))))
0.0b	(.f64 (.f64 y y) (+.f64 (*.f64 y 1/3) 1/2))
0.2b	(*.f64 (-.f64 x 1) (log.f64 y))
0.4b	(*.f64 y 1/3)

rewrite75.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64` `associate-*l/_binary64`
21×	`flip3--_binary64` `flip--_binary64`
16×	`*-un-lft-identity_binary64` `frac-add_binary64`
14×	`pow1_binary64`
13×	`add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`log-prod_binary64`
11×	`associate-l_binary64`
10×	`associate-r_binary64`
9×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
8×	`frac-times_binary64`
6×	`add-log-exp_binary64` `associate-*r/_binary64` `associate-+l+_binary64`
5×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`associate-+r+_binary64`
3×	`unswap-sqr_binary64` `*-commutative_binary64`
2×	`flip3-+_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64` `difference-of-squares_binary64` `flip-+_binary64`
1×	`log-pow_binary64` `difference-of-sqr-1_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 109

Calls

4 calls:

13.0ms	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 (*.f64 y 1/3) 1/2)))))
10.0ms	(.f64 (.f64 y y) (+.f64 (*.f64 y 1/3) 1/2))
9.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
4.0ms	(*.f64 y 1/3)

series368.0ms (5.7%)

Counts

4 → 12

Calls

4 calls:

184.0ms	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 (*.f64 y 1/3) 1/2)))))
97.0ms	(.f64 (.f64 y y) (+.f64 (*.f64 y 1/3) 1/2))
67.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
20.0ms	(*.f64 y 1/3)

simplify77.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4997	3744
1	4997	3744

prune248.0ms (3.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	119	2	121
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	121	8	129

Merged error: 0.0b

Counts

129 → 8

Compiler

Compiled 5505 to 3534 computations (35.8% saved)

localize25.0ms (0.4%)

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))

rewrite23.0ms (0.4%)

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`
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 → 81

Calls

4 calls:

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

series1.1s (17.5%)

Counts

4 → 12

Calls

4 calls:

286.0ms	(*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))
284.0ms	(cbrt.f64 (log.f64 y))
283.0ms	(cbrt.f64 (log.f64 y))
281.0ms	(cbrt.f64 (log.f64 y))

simplify67.0ms (1%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4930	830
1	4930	830

prune154.0ms (2.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	94	7	101

Merged error: 0.0b

Counts

101 → 7

Compiler

Compiled 3795 to 1984 computations (47.7% saved)

localize27.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 y 1/3)
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)

rewrite22.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`unpow-prod-down_binary64`
14×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`pow1_binary64`
9×	`add-exp-log_binary64`
6×	`pow-unpow_binary64` `add-cbrt-cube_binary64`
5×	`pow-exp_binary64`
4×	`add-log-exp_binary64` `cbrt-prod_binary64`
3×	`pow-to-exp_binary64` `associate-r_binary64` `log-pow_binary64` `sqr-pow_binary64` `associate-l_binary64`
2×	`unpow2_binary64` `pow-pow_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `unpow1/3_binary64` `*-commutative_binary64`

Counts

4 → 75

Calls

4 calls:

5.0ms	(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)
4.0ms	(*.f64 y 1/3)
3.0ms	(pow.f64 (log.f64 y) 2)
1.0ms	(cbrt.f64 (log.f64 y))

series719.0ms (11.1%)

Counts

4 → 12

Calls

4 calls:

294.0ms	(cbrt.f64 (log.f64 y))
289.0ms	(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)
113.0ms	(pow.f64 (log.f64 y) 2)
22.0ms	(*.f64 y 1/3)

simplify67.0ms (1%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5019	630

prune128.0ms (2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	87	7	94

Merged error: 0.0b

Counts

94 → 7

Compiler

Compiled 3060 to 1769 computations (42.2% saved)

regimes118.0ms (1.8%)

Compiler: Compiled 1208 to 1034 computations (14.4% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	219	36
1	219	36

end0.0ms (0%)

sample1.7s (26.2%)

Algorithm

1×

intervals

Results

653.0ms	6114×	body	128	valid
260.0ms	494×	body	1024	valid
208.0ms	770×	body	512	valid
98.0ms	619×	body	256	valid
18.0ms	228×	body	128	nan
2.0ms	32×	body	128	invalid
2.0ms	3×	body	2048	valid

Compiler

Compiled 240 to 204 computations (15% saved)

Details

analyze327.0ms (5%)

sample43.0ms (0.7%)

simplify351.0ms (5.4%)

prune3.0ms (0%)

localize13.0ms (0.2%)

rewrite51.0ms (0.8%)

series292.0ms (4.5%)

simplify84.0ms (1.3%)

prune342.0ms (5.3%)

localize20.0ms (0.3%)

rewrite75.0ms (1.2%)

series368.0ms (5.7%)

simplify77.0ms (1.2%)

prune248.0ms (3.8%)

localize25.0ms (0.4%)

rewrite23.0ms (0.4%)

series1.1s (17.5%)

simplify67.0ms (1%)

prune154.0ms (2.4%)

localize27.0ms (0.4%)

rewrite22.0ms (0.3%)

series719.0ms (11.1%)

simplify67.0ms (1%)

prune128.0ms (2%)

regimes118.0ms (1.8%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.7s (26.2%)

Profiling