Details

analyze472.0ms (6.8%)

Algorithm

1×	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%	1
0%	99.9%	0.1%	2
0%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	62.4%	37.6%	5
0%	56.2%	43.8%	6
7.8%	48.4%	43.8%	7
12.5%	40.6%	47%	8
18.3%	33.2%	48.5%	9
25.2%	26.3%	48.5%	10
29.7%	21%	49.3%	11
32.6%	17.7%	49.7%	12
36.7%	13.6%	49.7%	13
39.4%	10.7%	49.9%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample26.0ms (0.4%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify432.0ms (6.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (422.0ms)

Iter	Nodes	Cost
0	5786	12

prune2.0ms (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 x (log.f64 y)) z)
0.3b	(*.f64 x (log.f64 y))

rewrite76.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`log-prod_binary64_164`
11×	`add-sqr-sqrt_binary64_100`
9×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
6×	`distribute-rgt-in_binary64_28` `distribute-lft-in_binary64_27` `associate--l+_binary64_15`
5×	`pow1_binary64_139`
4×	`add-exp-log_binary64_116` `add-log-exp_binary64_117` `add-cbrt-cube_binary64_114` `associate-r_binary64_18`
3×	`associate-l_binary64_19` `cancel-sign-sub-inv_binary64_44`
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` `diff-log_binary64_170` `flip3--_binary64_82` `sub-neg_binary64_71` `flip--_binary64_53`

Counts

2 → 45

Calls

2 calls:

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

Compiler

Compiled 651 to 216 computations (66.8% saved)

series428.0ms (6.1%)

Error

0.1b

Counts

2 → 21

Calls

2 calls:

254.0ms	(-.f64 (*.f64 x (log.f64 y)) z)
163.0ms	(*.f64 x (log.f64 y))

Compiler

Compiled 486 to 340 computations (30% saved)

simplify89.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5296	630

prune65.0ms (0.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	62	4	66
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	62	5	67

Error

0.0b

Counts

67 → 5

Compiler

Compiled 802 to 221 computations (72.4% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.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)

rewrite111.0ms (1.6%)

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:

12.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
6.0ms	(.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)

series853.0ms (12.3%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

342.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
308.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
89.0ms	(cbrt.f64 y)
78.0ms	(cbrt.f64 y)

Compiler

Compiled 936 to 729 computations (22.1% saved)

simplify104.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4881	775
1	4881	775

prune84.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	80	2	82
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	83	4	87

Error

0.0b

Counts

87 → 4

Compiler

Compiled 1543 to 649 computations (57.9% saved)

localize28.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 x (log.f64 (pow.f64 y 1/3)))
0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (pow.f64 y 1/3))))
0.6b	(cbrt.f64 y)
5.1b	(pow.f64 y 1/3)

rewrite192.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`log-prod_binary64_164`
19×	`add-sqr-sqrt_binary64_100`
17×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
15×	`unpow-prod-down_binary64_157`
14×	`distribute-rgt-in_binary64_28` `associate-+r+_binary64_10` `distribute-lft-in_binary64_27`
7×	`pow1_binary64_139` `add-exp-log_binary64_116`
6×	`add-log-exp_binary64_117` `add-cbrt-cube_binary64_114`
5×	`sqr-pow_binary64_50`
4×	`associate-r_binary64_18`
3×	`pow-unpow_binary64_155` `cbrt-prod_binary64_109` `associate-l_binary64_19`
1×	`pow-pow_binary64_150` `pow-to-exp_binary64_147` `pow-exp_binary64_146` `unpow1/3_binary64_145` `pow1/3_binary64_160` `sum-log_binary64_169` `flip3-+_binary64_81` `flip-+_binary64_52` `distribute-lft-out_binary64_29` `+-commutative_binary64_8` `pow-prod-down_binary64_149` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `unswap-sqr_binary64_46` `log-pow_binary64_167` `*-commutative_binary64_9`

Counts

4 → 88

Calls

4 calls:

11.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (pow.f64 y 1/3))))
6.0ms	(*.f64 x (log.f64 (pow.f64 y 1/3)))
4.0ms	(pow.f64 y 1/3)
2.0ms	(cbrt.f64 y)

Compiler

Compiled 2261 to 1367 computations (39.5% saved)

series942.0ms (13.5%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

380.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (pow.f64 y 1/3))))
341.0ms	(*.f64 x (log.f64 (pow.f64 y 1/3)))
99.0ms	(pow.f64 y 1/3)
93.0ms	(cbrt.f64 y)

Compiler

Compiled 999 to 800 computations (19.9% saved)

simplify154.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (136.0ms)

Iter	Nodes	Cost
0	4955	950
1	4955	950

prune109.0ms (1.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	105	5	110

Error

Counts

110 → 5

Compiler

Compiled 2103 to 1026 computations (51.2% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(+.f64 (.f64 x (.f64 (log.f64 y) 5/6)) (*.f64 (log.f64 (sqrt.f64 (cbrt.f64 y))) x))
0.3b	(.f64 x (.f64 (log.f64 y) 5/6))
0.3b	(*.f64 (log.f64 y) 5/6)
0.6b	(cbrt.f64 y)

rewrite122.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`pow1_binary64_139`
11×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
10×	`add-sqr-sqrt_binary64_100`
8×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
7×	`associate-l_binary64_19`
6×	`add-log-exp_binary64_117`
4×	`pow-prod-down_binary64_149` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `associate-r_binary64_18`
3×	`cbrt-prod_binary64_109`
2×	`*-commutative_binary64_9`
1×	`pow1/3_binary64_160` `unswap-sqr_binary64_46` `log-pow_binary64_167` `sum-log_binary64_169` `flip3-+_binary64_81` `flip-+_binary64_52` `+-commutative_binary64_8`

Counts

4 → 59

Calls

4 calls:

12.0ms	(+.f64 (.f64 x (.f64 (log.f64 y) 5/6)) (*.f64 (log.f64 (sqrt.f64 (cbrt.f64 y))) x))
11.0ms	(.f64 x (.f64 (log.f64 y) 5/6))
9.0ms	(*.f64 (log.f64 y) 5/6)
2.0ms	(cbrt.f64 y)

Compiler

Compiled 1408 to 622 computations (55.8% saved)

series821.0ms (11.8%)

Error

Counts

4 → 18

Calls

4 calls:

461.0ms	(+.f64 (.f64 x (.f64 (log.f64 y) 5/6)) (*.f64 (log.f64 (sqrt.f64 (cbrt.f64 y))) x))
183.0ms	(.f64 x (.f64 (log.f64 y) 5/6))
81.0ms	(cbrt.f64 y)
75.0ms	(*.f64 (log.f64 y) 5/6)

Compiler

Compiled 1023 to 770 computations (24.7% saved)

simplify92.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4936	858
1	4936	858

prune93.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	1	1	2
Picked	1	0	1
Done	1	1	2
Total	79	3	82

Error

Counts

82 → 3

Compiler

Compiled 1537 to 650 computations (57.7% saved)

regimes251.0ms (3.6%)

Accuracy

Total 0.1b remaining (97.4%)

Threshold costs 0.1b (97.4%)

Compiler

Compiled 2026 to 1496 computations (26.2% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	28
1	38	28

end0.0ms (0%)

sample1.4s (19.7%)

Algorithm

1×

intervals

Results

398.0ms	7998×	body	128	valid
2.0ms	31×	body	128	invalid
1.0ms	28×	body	128	nan
1.0ms	1×	body	2048	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 528 to 392 computations (25.8% saved)

Details

analyze472.0ms (6.8%)

sample26.0ms (0.4%)

simplify432.0ms (6.2%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite76.0ms (1.1%)

series428.0ms (6.1%)

simplify89.0ms (1.3%)

prune65.0ms (0.9%)

localize12.0ms (0.2%)

rewrite111.0ms (1.6%)

series853.0ms (12.3%)

simplify104.0ms (1.5%)

prune84.0ms (1.2%)

localize28.0ms (0.4%)

rewrite192.0ms (2.8%)

series942.0ms (13.5%)

simplify154.0ms (2.2%)

prune109.0ms (1.6%)

localize18.0ms (0.3%)

rewrite122.0ms (1.7%)

series821.0ms (11.8%)

simplify92.0ms (1.3%)

prune93.0ms (1.3%)

regimes251.0ms (3.6%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.4s (19.7%)

Profiling