Details

analyze184.0ms (5.4%)

Algorithm

1×

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)

sample18.0ms (0.5%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
0.0ms	3×	body	128	invalid
0.0ms	3×	body	128	nan

Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify425.0ms (12.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (334.0ms)

Iter	Nodes	Cost
0	5786	12

prune2.0ms (0.1%)

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)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite12.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

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-lft-in_binary64_27` `distribute-rgt-in_binary64_28` `associate--l+_binary64_15`
5×	`pow1_binary64_139`
4×	`add-cbrt-cube_binary64_114` `add-log-exp_binary64_117` `associate-r_binary64_18` `add-exp-log_binary64_116`
3×	`associate-l_binary64_19` `cancel-sign-sub-inv_binary64_44`
1×	`*-commutative_binary64_9` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `flip3--_binary64_82` `diff-log_binary64_170` `flip--_binary64_53` `pow-prod-down_binary64_149` `unswap-sqr_binary64_46` `log-pow_binary64_167` `sub-neg_binary64_71`

Counts

2 → 45

Calls

2 calls:

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

series66.0ms (1.9%)

Counts

2 → 6

Calls

2 calls:

39.0ms	(-.f64 (*.f64 x (log.f64 y)) z)
27.0ms	(*.f64 x (log.f64 y))

simplify66.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5296	531

prune39.0ms (1.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	45	6	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	7	52

Error

0.0b

Counts

52 → 7

Compiler

Compiled 730 to 238 computations (67.4% saved)

localize14.0ms (0.4%)

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)

rewrite21.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`associate-+r+_binary64_10` `log-prod_binary64_164` `cbrt-prod_binary64_109`
11×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
9×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116` `pow1_binary64_139`
6×	`distribute-lft-in_binary64_27` `add-log-exp_binary64_117` `distribute-rgt-in_binary64_28`
3×	`associate-l_binary64_19` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `pow-prod-down_binary64_149`
2×	`pow1/3_binary64_160`
1×	`+-commutative_binary64_8` `-commutative_binary64_9` `flip-+_binary64_52` `associate-r*_binary64_18` `distribute-lft-out_binary64_29` `sum-log_binary64_169` `flip3-+_binary64_81`

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)

series308.0ms (9.1%)

Counts

4 → 12

Calls

4 calls:

83.0ms	(cbrt.f64 y)
77.0ms	(cbrt.f64 y)
74.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
73.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))

simplify91.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4881	730
1	4881	730

prune72.0ms (2.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	74	2	76
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	76	7	83

Error

Counts

83 → 7

Compiler

Compiled 1515 to 680 computations (55.1% saved)

localize16.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b	(*.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)
4.9b	(pow.f64 y 1/3)

rewrite26.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

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

Counts

4 → 88

Calls

4 calls:

9.0ms	(+.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)))
2.0ms	(pow.f64 y 1/3)
1.0ms	(cbrt.f64 y)

series329.0ms (9.7%)

Counts

4 → 12

Calls

4 calls:

104.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (pow.f64 y 1/3))))
87.0ms	(cbrt.f64 y)
80.0ms	(pow.f64 y 1/3)
57.0ms	(*.f64 x (log.f64 (pow.f64 y 1/3)))

simplify110.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	5062	908

prune92.0ms (2.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	100	7	107

Error

Counts

107 → 7

Compiler

Compiled 2040 to 1014 computations (50.3% saved)

localize17.0ms (0.5%)

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)
4.9b	(pow.f64 y 1/3)

rewrite23.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113` `associate-+r+_binary64_10` `log-prod_binary64_164` `*-un-lft-identity_binary64_78`
10×	`add-exp-log_binary64_116` `pow1_binary64_139`
9×	`add-cbrt-cube_binary64_114` `cbrt-prod_binary64_109`
6×	`distribute-lft-in_binary64_27` `add-log-exp_binary64_117` `distribute-rgt-in_binary64_28`
3×	`associate-l_binary64_19` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `unpow-prod-down_binary64_157` `pow-prod-down_binary64_149` `pow-unpow_binary64_155`
1×	`+-commutative_binary64_8` `-commutative_binary64_9` `pow-exp_binary64_146` `pow-to-exp_binary64_147` `flip-+_binary64_52` `pow1/3_binary64_160` `sqr-pow_binary64_50` `associate-r*_binary64_18` `pow-pow_binary64_150` `unpow1/3_binary64_145` `distribute-lft-out_binary64_29` `sum-log_binary64_169` `flip3-+_binary64_81`

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)

series330.0ms (9.7%)

Counts

4 → 12

Calls

4 calls:

110.0ms	(+.f64 (.f64 x (.f64 (log.f64 (pow.f64 y 1/3)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
81.0ms	(cbrt.f64 y)
77.0ms	(pow.f64 y 1/3)
62.0ms	(.f64 x (.f64 (log.f64 (pow.f64 y 1/3)) 2))

simplify71.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5035	764

prune205.0ms (6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	83	7	90

Error

Counts

90 → 7

Compiler

Compiled 1588 to 744 computations (53.1% saved)

regimes100.0ms (3%)

Accuracy

Total 0.1b remaining (93.1%)

Threshold costs 0.1b (93.1%)

Compiler

Compiled 870 to 644 computations (26% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	24
1	29	24

end0.0ms (0%)

sample755.0ms (22.2%)

Algorithm

1×

intervals

Results

330.0ms	7999×	body	128	valid
1.0ms	37×	body	128	invalid
1.0ms	31×	body	128	nan
0.0ms	1×	body	256	valid

Compiler

Compiled 236 to 173 computations (26.7% saved)

Details

analyze184.0ms (5.4%)

sample18.0ms (0.5%)

simplify425.0ms (12.5%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite12.0ms (0.4%)

series66.0ms (1.9%)

simplify66.0ms (1.9%)

prune39.0ms (1.2%)

localize14.0ms (0.4%)

rewrite21.0ms (0.6%)

series308.0ms (9.1%)

simplify91.0ms (2.7%)

prune72.0ms (2.1%)

localize16.0ms (0.5%)

rewrite26.0ms (0.8%)

series329.0ms (9.7%)

simplify110.0ms (3.2%)

prune92.0ms (2.7%)

localize17.0ms (0.5%)

rewrite23.0ms (0.7%)

series330.0ms (9.7%)

simplify71.0ms (2.1%)

prune205.0ms (6%)

regimes100.0ms (3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample755.0ms (22.2%)

Profiling