Details

analyze896.0ms (6.6%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5332	140
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	2
0%	74.9%	25.1%	3
0%	74.9%	25.1%	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
0%	31.2%	68.8%	7
0%	31.2%	68.8%	7
0%	31.2%	68.8%	8
0%	31.2%	68.8%	8
0%	31.2%	68.8%	9
0%	31.2%	68.8%	9
0%	28.1%	71.9%	10
0%	28.1%	71.9%	10
6%	20.5%	73.5%	11
6%	20.5%	73.5%	11
6.1%	20.4%	73.5%	12
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
7.7%	18.8%	73.5%	13
9.1%	16.6%	74.3%	14
9.1%	16.6%	74.3%	14

Compiler

Compiled 28 to 26 computations (7.1% saved)

sample3.8s (27.8%)

Algorithm

2×

intervals

Results

99.0ms	1509×	body	128	nan
27.0ms	363×	body	128	valid
19.0ms	39×	body	1024	valid
16.0ms	63×	body	512	valid
7.0ms	47×	body	256	valid

Compiler

Compiled 14685 to 17828 computations (-21.4% saved)

simplify36.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	657	20
1	657	20

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

10.7b

Counts

2 → 1

Compiler

Compiled 26 to 24 computations (7.7% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 z (log.f64 (-.f64 1 y)))
0.3b	(*.f64 x (log.f64 y))
5.2b	(log.f64 (-.f64 1 y))

rewrite118.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

10.4b

Rules

25×	`add-sqr-sqrt_binary64_12376`
24×	`log-prod_binary64_12440`
21×	`*-un-lft-identity_binary64_12354`
12×	`add-cube-cbrt_binary64_12389`
10×	`pow1_binary64_12415`
9×	`distribute-rgt-in_binary64_12304` `distribute-lft-in_binary64_12303`
8×	`add-exp-log_binary64_12392` `associate-r_binary64_12294`
7×	`add-cbrt-cube_binary64_12390`
6×	`difference-of-squares_binary64_12323` `associate-l_binary64_12295`
3×	`log-pow_binary64_12443` `distribute-lft-out--_binary64_12306` `add-log-exp_binary64_12393`
2×	`log-div_binary64_12441` `pow-prod-down_binary64_12425` `prod-exp_binary64_12403` `cbrt-unprod_binary64_12387` `unswap-sqr_binary64_12322` `*-commutative_binary64_12285`
1×	`flip3--_binary64_12358` `flip--_binary64_12329` `rem-log-exp_binary64_12395`

Counts

3 → 73

Calls

3 calls:

7.0ms	(*.f64 z (log.f64 (-.f64 1 y)))
5.0ms	(*.f64 x (log.f64 y))
4.0ms	(log.f64 (-.f64 1 y))

Compiler

Compiled 1419 to 775 computations (45.4% saved)

series458.0ms (3.4%)

Error

0.1b

Counts

3 → 21

Calls

3 calls:

211.0ms	(*.f64 x (log.f64 y))
185.0ms	(*.f64 z (log.f64 (-.f64 1 y)))
36.0ms	(log.f64 (-.f64 1 y))

Compiler

Compiled 928 to 712 computations (23.3% saved)

simplify68.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5258	1112

prune112.0ms (0.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	89	5	94
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	5	95

Error

0.0b

Counts

95 → 5

Compiler

Compiled 1751 to 938 computations (46.4% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 z (+.f64 (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (.f64 y 1/3))) y) (*.f64 (pow.f64 y 4) -1/4)))
0.0b	(.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3)))
0.3b	(*.f64 x (log.f64 y))
0.3b	(*.f64 y 1/3)

rewrite202.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`add-sqr-sqrt_binary64_12376`
16×	`pow1_binary64_12415`
15×	`add-exp-log_binary64_12392` `add-cbrt-cube_binary64_12390`
13×	`add-cube-cbrt_binary64_12389` `-un-lft-identity_binary64_12354` `associate-r*_binary64_12294`
10×	`associate-l_binary64_12295`
6×	`pow-prod-down_binary64_12425` `prod-exp_binary64_12403` `cbrt-unprod_binary64_12387` `log-prod_binary64_12440` `distribute-rgt-in_binary64_12304` `distribute-lft-in_binary64_12303`
4×	`add-log-exp_binary64_12393` `unswap-sqr_binary64_12322` `-commutative_binary64_12285` `associate-r/_binary64_12296`
2×	`sub-neg_binary64_12347` `cancel-sign-sub-inv_binary64_12320`
1×	`log-pow_binary64_12443` `flip3--_binary64_12358` `flip--_binary64_12329` `flip3-+_binary64_12357` `flip-+_binary64_12328`

Counts

4 → 90

Calls

4 calls:

14.0ms	(.f64 z (+.f64 (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (.f64 y 1/3))) y) (*.f64 (pow.f64 y 4) -1/4)))
8.0ms	(.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3)))
5.0ms	(*.f64 x (log.f64 y))
4.0ms	(*.f64 y 1/3)

Compiler

Compiled 3121 to 1793 computations (42.6% saved)

series652.0ms (4.8%)

Error

0.0b

Counts

4 → 30

Calls

4 calls:

285.0ms	(.f64 z (+.f64 (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (.f64 y 1/3))) y) (*.f64 (pow.f64 y 4) -1/4)))
204.0ms	(*.f64 x (log.f64 y))
92.0ms	(.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3)))
30.0ms	(*.f64 y 1/3)

Compiler

Compiled 1990 to 1487 computations (25.3% saved)

simplify52.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5288	1884

prune196.0ms (1.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	119	6	125

Error

0.0b

Counts

125 → 6

Compiler

Compiled 3756 to 2208 computations (41.2% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 y (.f64 y (-.f64 -1/2 (*.f64 1/3 y))))
0.3b	(*.f64 x (log.f64 y))
0.3b	(*.f64 1/3 y)
5.6b	(*.f64 z (pow.f64 y 4))

rewrite189.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`add-sqr-sqrt_binary64_12376`
18×	`add-exp-log_binary64_12392`
15×	`add-cbrt-cube_binary64_12390` `associate-r_binary64_12294`
14×	`pow1_binary64_12415` `add-cube-cbrt_binary64_12389` `*-un-lft-identity_binary64_12354`
12×	`associate-l_binary64_12295`
11×	`distribute-rgt-in_binary64_12304` `distribute-lft-in_binary64_12303`
8×	`prod-exp_binary64_12403`
6×	`cbrt-unprod_binary64_12387` `log-prod_binary64_12440`
5×	`unswap-sqr_binary64_12322` `pow-prod-down_binary64_12425`
4×	`add-log-exp_binary64_12393` `unpow-prod-down_binary64_12433` `-commutative_binary64_12285` `sub-neg_binary64_12347` `cancel-sign-sub-inv_binary64_12320` `associate-r/_binary64_12296`
2×	`sqr-pow_binary64_12326`
1×	`pow-to-exp_binary64_12423` `pow-exp_binary64_12422` `log-pow_binary64_12443` `flip3--_binary64_12358` `flip--_binary64_12329`

Counts

4 → 96

Calls

4 calls:

7.0ms	(.f64 y (.f64 y (-.f64 -1/2 (*.f64 1/3 y))))
6.0ms	(*.f64 z (pow.f64 y 4))
4.0ms	(*.f64 x (log.f64 y))
4.0ms	(*.f64 1/3 y)

Compiler

Compiled 3270 to 1924 computations (41.2% saved)

series480.0ms (3.6%)

Error

0.0b

Counts

4 → 21

Calls

4 calls:

208.0ms	(*.f64 x (log.f64 y))
111.0ms	(*.f64 z (pow.f64 y 4))
101.0ms	(.f64 y (.f64 y (-.f64 -1/2 (*.f64 1/3 y))))
31.0ms	(*.f64 1/3 y)

Compiler

Compiled 1710 to 1256 computations (26.5% saved)

simplify84.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4875	1165
1	4875	1165

prune182.0ms (1.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	117	6	123

Error

0.0b

Counts

123 → 6

Compiler

Compiled 3787 to 2221 computations (41.4% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite152.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_12385`
23×	`add-sqr-sqrt_binary64_12376`
15×	`add-cube-cbrt_binary64_12389` `*-un-lft-identity_binary64_12354`
11×	`pow1_binary64_12415`
9×	`pow1/3_binary64_12436`
6×	`add-exp-log_binary64_12392` `swap-sqr_binary64_12321` `associate-l_binary64_12295` `associate-r_binary64_12294`
4×	`add-log-exp_binary64_12393` `add-cbrt-cube_binary64_12390` `unswap-sqr_binary64_12322`
2×	`pow-prod-down_binary64_12425` `pow-prod-up_binary64_12424` `pow-sqr_binary64_12327`
1×	`pow2_binary64_12435` `pow-plus_binary64_12417` `prod-exp_binary64_12403` `cbrt-unprod_binary64_12387` `*-commutative_binary64_12285`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

Compiler

Compiled 2765 to 1332 computations (51.8% saved)

series513.0ms (3.8%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

146.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
122.0ms	(cbrt.f64 z)
116.0ms	(cbrt.f64 z)
109.0ms	(cbrt.f64 z)

Compiler

Compiled 1275 to 926 computations (27.4% saved)

simplify81.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune148.0ms (1.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	85	6	91

Error

0.0b

Counts

91 → 6

Compiler

Compiled 3018 to 1579 computations (47.7% saved)

regimes555.0ms (4.1%)

Accuracy

Total 0.2b remaining (85.4%)

Threshold costs 0.2b (85.4%)

Compiler

Compiled 5744 to 4536 computations (21% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	67	42
1	67	42

end0.0ms (0%)

sample4.5s (33.3%)

Algorithm

1×

intervals

Results

1.4s	24420×	body	128	nan
396.0ms	5783×	body	128	valid
315.0ms	669×	body	1024	valid
219.0ms	886×	body	512	valid
96.0ms	639×	body	256	valid
18.0ms	23×	body	2048	valid
1.0ms	21×	body	128	invalid

Compiler

Compiled 1021 to 806 computations (21.1% saved)

Details

analyze896.0ms (6.6%)

sample3.8s (27.8%)

simplify36.0ms (0.3%)

prune3.0ms (0%)

localize11.0ms (0.1%)

rewrite118.0ms (0.9%)

series458.0ms (3.4%)

simplify68.0ms (0.5%)

prune112.0ms (0.8%)

localize20.0ms (0.2%)

rewrite202.0ms (1.5%)

series652.0ms (4.8%)

simplify52.0ms (0.4%)

prune196.0ms (1.5%)

localize22.0ms (0.2%)

rewrite189.0ms (1.4%)

series480.0ms (3.6%)

simplify84.0ms (0.6%)

prune182.0ms (1.3%)

localize25.0ms (0.2%)

rewrite152.0ms (1.1%)

series513.0ms (3.8%)

simplify81.0ms (0.6%)

prune148.0ms (1.1%)

regimes555.0ms (4.1%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.5s (33.3%)

Profiling