Details

analyze752.0ms (9.2%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5139	48
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	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%	62.4%	37.6%	5
0%	62.4%	37.6%	5
0%	56.2%	43.8%	6
0%	56.2%	43.8%	6
7.8%	48.4%	43.8%	7
7.8%	48.4%	43.8%	7
12.5%	40.6%	47%	8
12.5%	40.6%	47%	8
18.3%	33.2%	48.5%	9
18.3%	33.2%	48.5%	9
25.2%	26.3%	48.5%	10
25.2%	26.3%	48.5%	10
29.7%	21%	49.3%	11
29.7%	21%	49.3%	11
32.6%	17.7%	49.7%	12
32.6%	17.7%	49.7%	12
36.7%	13.6%	49.7%	13
36.7%	13.6%	49.7%	13
39.4%	10.7%	49.9%	14
39.4%	10.7%	49.9%	14

Compiler

Compiled 18 to 16 computations (11.1% saved)

sample944.0ms (11.6%)

Algorithm

2×

intervals

Results

19.0ms	512×	body	128	valid
16.0ms	529×	body	128	nan
0.0ms	1×	body	128	invalid

Compiler

Compiled 4589 to 5606 computations (-22.2% saved)

simplify329.0ms (4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (323.0ms)

Iter	Nodes	Cost
0	5786	12

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

0.1b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite70.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`associate--l+_binary64_15`
14×	`add-sqr-sqrt_binary64_100`
12×	`*-un-lft-identity_binary64_78` `log-prod_binary64_164`
10×	`add-cube-cbrt_binary64_113`
7×	`add-log-exp_binary64_117`
6×	`distribute-rgt-in_binary64_28` `distribute-lft-in_binary64_27` `cancel-sign-sub-inv_binary64_44`
5×	`pow1_binary64_139`
4×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `associate-r_binary64_18`
3×	`associate-l_binary64_19` `diff-log_binary64_170`
2×	`sub-neg_binary64_71`
1×	`pow-prod-down_binary64_149` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `unswap-sqr_binary64_46` `log-pow_binary64_167` `*-commutative_binary64_9` `flip3--_binary64_82` `flip--_binary64_53` `difference-of-squares_binary64_47` `distribute-lft-out--_binary64_30` `associate--l-_binary64_16`

Counts

2 → 53

Calls

2 calls:

13.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
6.0ms	(*.f64 x (log.f64 y))

Compiler

Compiled 771 to 231 computations (70% saved)

series559.0ms (6.8%)

Error

0.1b

Counts

2 → 23

Calls

2 calls:

337.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
207.0ms	(*.f64 x (log.f64 y))

Compiler

Compiled 461 to 329 computations (28.6% saved)

simplify56.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4908	813
1	4908	813

prune64.0ms (0.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	70	6	76
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	70	7	77

Error

0.0b

Counts

77 → 7

Compiler

Compiled 928 to 236 computations (74.6% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite105.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`cbrt-prod_binary64_109` `log-prod_binary64_164` `associate-+r+_binary64_10`
11×	`add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`
9×	`pow1_binary64_139` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
6×	`add-log-exp_binary64_117` `distribute-rgt-in_binary64_28` `distribute-lft-in_binary64_27`
3×	`pow-prod-down_binary64_149` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `associate-l_binary64_19`
2×	`pow1/3_binary64_160`
1×	`sum-log_binary64_169` `flip3-+_binary64_81` `flip-+_binary64_52` `distribute-lft-out_binary64_29` `+-commutative_binary64_8` `associate-r_binary64_18` `*-commutative_binary64_9`

Counts

4 → 64

Calls

4 calls:

8.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
5.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 1551 to 628 computations (59.5% saved)

series1.1s (13.4%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

421.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
416.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
117.0ms	(cbrt.f64 y)
114.0ms	(cbrt.f64 y)

Compiler

Compiled 936 to 729 computations (22.1% saved)

simplify88.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4881	775
1	4881	775

prune92.0ms (1.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	80	2	82
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	81	8	89

Error

Counts

89 → 8

Compiler

Compiled 1613 to 693 computations (57% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 x (.f64 (log.f64 (pow.f64 y 1/3)) 2))
0.3b	(+.f64 (.f64 x (.f64 (log.f64 (pow.f64 y 1/3)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
0.6b	(cbrt.f64 y)
5.2b	(pow.f64 y 1/3)

rewrite121.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78` `log-prod_binary64_164` `associate-+r+_binary64_10`
10×	`pow1_binary64_139` `add-exp-log_binary64_116`
9×	`add-cbrt-cube_binary64_114` `cbrt-prod_binary64_109`
6×	`add-log-exp_binary64_117` `distribute-rgt-in_binary64_28` `distribute-lft-in_binary64_27`
3×	`unpow-prod-down_binary64_157` `pow-unpow_binary64_155` `pow-prod-down_binary64_149` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `associate-l_binary64_19`
1×	`pow-pow_binary64_150` `pow-to-exp_binary64_147` `pow-exp_binary64_146` `unpow1/3_binary64_145` `sqr-pow_binary64_50` `pow1/3_binary64_160` `sum-log_binary64_169` `flip3-+_binary64_81` `flip-+_binary64_52` `distribute-lft-out_binary64_29` `+-commutative_binary64_8` `associate-r_binary64_18` `*-commutative_binary64_9`

Counts

4 → 71

Calls

4 calls:

8.0ms	(+.f64 (.f64 x (.f64 (log.f64 (pow.f64 y 1/3)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
5.0ms	(.f64 x (.f64 (log.f64 (pow.f64 y 1/3)) 2))
2.0ms	(pow.f64 y 1/3)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 1793 to 989 computations (44.8% saved)

series1.2s (14.4%)

Error

Counts

4 → 18

Calls

4 calls:

511.0ms	(+.f64 (.f64 x (.f64 (log.f64 (pow.f64 y 1/3)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
418.0ms	(.f64 x (.f64 (log.f64 (pow.f64 y 1/3)) 2))
117.0ms	(pow.f64 y 1/3)
110.0ms	(cbrt.f64 y)

Compiler

Compiled 999 to 792 computations (20.7% saved)

simplify69.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4996	801
1	4996	801

prune96.0ms (1.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	89	8	97

Error

Counts

97 → 8

Compiler

Compiled 1753 to 818 computations (53.3% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 (pow.f64 y 2/3))
6.1b	(pow.f64 y 2/3)

rewrite99.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`cbrt-prod_binary64_109`
11×	`add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`
6×	`unpow-prod-down_binary64_157`
5×	`pow1_binary64_139` `add-exp-log_binary64_116`
4×	`add-log-exp_binary64_117` `add-cbrt-cube_binary64_114`
3×	`pow-unpow_binary64_155` `pow1/3_binary64_160`
2×	`sqr-pow_binary64_50`
1×	`pow-pow_binary64_150` `pow-to-exp_binary64_147` `pow-exp_binary64_146`

Counts

4 → 57

Calls

4 calls:

2.0ms	(pow.f64 y 2/3)
2.0ms	(cbrt.f64 (pow.f64 y 2/3))
2.0ms	(cbrt.f64 (cbrt.f64 y))
1.0ms	(cbrt.f64 y)

Compiler

Compiled 1603 to 886 computations (44.7% saved)

series497.0ms (6.1%)

Error

Counts

4 → 12

Calls

4 calls:

140.0ms	(cbrt.f64 (cbrt.f64 y))
121.0ms	(cbrt.f64 y)
115.0ms	(cbrt.f64 (pow.f64 y 2/3))
106.0ms	(pow.f64 y 2/3)

Compiler

Compiled 915 to 707 computations (22.7% saved)

simplify51.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5296	491

prune99.0ms (1.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	69	8	77

Error

Counts

77 → 8

Compiler

Compiled 1792 to 942 computations (47.4% saved)

regimes244.0ms (3%)

Accuracy

Total 0.1b remaining (96.9%)

Threshold costs 0.1b (96.9%)

Compiler

Compiled 1858 to 1412 computations (24% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	12
1	27	12

end0.0ms (0%)

sample1.5s (18.3%)

Algorithm

1×

intervals

Results

310.0ms	7997×	body	128	valid
219.0ms	7936×	body	128	nan
1.0ms	32×	body	128	invalid
0.0ms	1×	body	2048	valid
0.0ms	2×	body	512	valid

Compiler

Compiled 476 to 363 computations (23.7% saved)

Details

analyze752.0ms (9.2%)

sample944.0ms (11.6%)

simplify329.0ms (4%)

prune3.0ms (0%)

localize7.0ms (0.1%)

rewrite70.0ms (0.9%)

series559.0ms (6.8%)

simplify56.0ms (0.7%)

prune64.0ms (0.8%)

localize12.0ms (0.1%)

rewrite105.0ms (1.3%)

series1.1s (13.4%)

simplify88.0ms (1.1%)

prune92.0ms (1.1%)

localize17.0ms (0.2%)

rewrite121.0ms (1.5%)

series1.2s (14.4%)

simplify69.0ms (0.9%)

prune96.0ms (1.2%)

localize22.0ms (0.3%)

rewrite99.0ms (1.2%)

series497.0ms (6.1%)

simplify51.0ms (0.6%)

prune99.0ms (1.2%)

regimes244.0ms (3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.5s (18.3%)

Profiling