Details

analyze193.0ms (5.1%)

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)

sample17.0ms (0.5%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify163.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	198	12
1	198	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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite23.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`associate--l+_binary64_16`
18×	`log-prod_binary64_160`
15×	`add-sqr-sqrt_binary64_98`
13×	`*-un-lft-identity_binary64_77`
11×	`add-cube-cbrt_binary64_109`
10×	`add-log-exp_binary64_113`
9×	`distribute-lft-in_binary64_28` `distribute-rgt-in_binary64_29`
6×	`pow1_binary64_135`
5×	`add-exp-log_binary64_112` `add-cbrt-cube_binary64_110`
4×	`diff-log_binary64_166` `associate-r_binary64_19`
3×	`associate-l_binary64_20` `sub-neg_binary64_70`
2×	`flip--_binary64_52` `flip3--_binary64_81`
1×	`associate--l-_binary64_17` `pow-prod-down_binary64_145` `cbrt-unprod_binary64_107` `distribute-lft-out--_binary64_31` `unswap-sqr_binary64_45` `difference-of-squares_binary64_46` `prod-exp_binary64_123` `*-commutative_binary64_10` `log-pow_binary64_163`

Counts

3 → 64

Calls

3 calls:

8.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
5.0ms	(-.f64 (*.f64 x (log.f64 y)) z)
5.0ms	(*.f64 x (log.f64 y))

series190.0ms (5.1%)

Counts

3 → 9

Calls

3 calls:

79.0ms	(-.f64 (*.f64 x (log.f64 y)) z)
57.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
54.0ms	(*.f64 x (log.f64 y))

simplify68.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5102	917

prune52.0ms (1.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	69	4	73
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	69	5	74

Merged error: 0.0b

Counts

74 → 5

Compiler

Compiled 1019 to 275 computations (73% saved)

localize12.0ms (0.3%)

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))))
0.5b	(cbrt.f64 y)
0.5b	(cbrt.f64 y)

rewrite23.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`log-prod_binary64_160` `cbrt-prod_binary64_105` `associate-+r+_binary64_11`
11×	`add-cube-cbrt_binary64_109` `*-un-lft-identity_binary64_77` `add-sqr-sqrt_binary64_98`
9×	`add-exp-log_binary64_112` `add-cbrt-cube_binary64_110` `pow1_binary64_135`
6×	`add-log-exp_binary64_113` `distribute-lft-in_binary64_28` `distribute-rgt-in_binary64_29`
3×	`associate-l_binary64_20` `pow-prod-down_binary64_145` `cbrt-unprod_binary64_107` `prod-exp_binary64_123`
2×	`pow1/3_binary64_156`
1×	`flip-+_binary64_51` `flip3-+_binary64_80` `+-commutative_binary64_9` `-commutative_binary64_10` `distribute-lft-out_binary64_30` `sum-log_binary64_165` `associate-r*_binary64_19`

Counts

4 → 64

Calls

4 calls:

9.0ms	(+.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)

series592.0ms (15.8%)

Counts

4 → 12

Calls

4 calls:

166.0ms	(cbrt.f64 y)
152.0ms	(cbrt.f64 y)
138.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
136.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))

simplify70.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4881	752
1	4881	752

prune72.0ms (1.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	74	2	76
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	76	5	81

Merged error: 0b

Counts

81 → 5

Compiler

Compiled 1504 to 654 computations (56.5% saved)

localize19.0ms (0.5%)

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))))
0.5b	(cbrt.f64 y)
5.0b	(pow.f64 y 1/3)

rewrite28.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`log-prod_binary64_160`
19×	`add-sqr-sqrt_binary64_98`
17×	`add-cube-cbrt_binary64_109` `*-un-lft-identity_binary64_77`
15×	`unpow-prod-down_binary64_153`
14×	`distribute-lft-in_binary64_28` `associate-+r+_binary64_11` `distribute-rgt-in_binary64_29`
7×	`add-exp-log_binary64_112` `pow1_binary64_135`
6×	`add-cbrt-cube_binary64_110` `add-log-exp_binary64_113`
5×	`sqr-pow_binary64_49`
4×	`associate-r_binary64_19`
3×	`associate-l_binary64_20` `pow-unpow_binary64_151` `cbrt-prod_binary64_105`
1×	`pow-to-exp_binary64_143` `pow-prod-down_binary64_145` `unpow1/3_binary64_141` `flip-+_binary64_51` `cbrt-unprod_binary64_107` `flip3-+_binary64_80` `pow-exp_binary64_142` `+-commutative_binary64_9` `unswap-sqr_binary64_45` `prod-exp_binary64_123` `*-commutative_binary64_10` `log-pow_binary64_163` `pow1/3_binary64_156` `pow-pow_binary64_146` `distribute-lft-out_binary64_30` `sum-log_binary64_165`

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)))
3.0ms	(pow.f64 y 1/3)
2.0ms	(cbrt.f64 y)

series725.0ms (19.3%)

Counts

4 → 12

Calls

4 calls:

268.0ms	(pow.f64 y 1/3)
196.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (pow.f64 y 1/3))))
147.0ms	(cbrt.f64 y)
114.0ms	(*.f64 x (log.f64 (pow.f64 y 1/3)))

simplify50.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4986	965
1	4986	965

prune104.0ms (2.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	100	5	105

Merged error: 0b

Counts

105 → 5

Compiler

Compiled 2043 to 1004 computations (50.9% saved)

localize18.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (log.f64 (pow.f64 y (/.f64 1/3 2))) x)
0.3b	(.f64 x (.f64 (log.f64 y) 5/6))
0.3b	(*.f64 (log.f64 y) 5/6)
4.1b	(pow.f64 y (/.f64 1/3 2))

rewrite25.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_98`
17×	`add-cube-cbrt_binary64_109` `*-un-lft-identity_binary64_77`
15×	`pow1_binary64_135`
14×	`add-exp-log_binary64_112`
13×	`add-cbrt-cube_binary64_110` `pow-unpow_binary64_151`
11×	`associate-l_binary64_20`
9×	`times-frac_binary64_83`
7×	`associate-r_binary64_19`
5×	`pow-prod-down_binary64_145` `cbrt-unprod_binary64_107` `prod-exp_binary64_123`
4×	`add-log-exp_binary64_113`
3×	`*-commutative_binary64_10` `unpow-prod-down_binary64_153`
2×	`unswap-sqr_binary64_45` `log-pow_binary64_163`
1×	`pow-to-exp_binary64_143` `sqr-pow_binary64_49` `pow-exp_binary64_142` `pow-pow_binary64_146` `div-inv_binary64_74`

Counts

4 → 83

Calls

4 calls:

5.0ms	(.f64 x (.f64 (log.f64 y) 5/6))
4.0ms	(*.f64 (log.f64 (pow.f64 y (/.f64 1/3 2))) x)
4.0ms	(*.f64 (log.f64 y) 5/6)
4.0ms	(pow.f64 y (/.f64 1/3 2))

series464.0ms (12.4%)

Counts

4 → 12

Calls

4 calls:

162.0ms	(pow.f64 y (/.f64 1/3 2))
153.0ms	(*.f64 (log.f64 (pow.f64 y (/.f64 1/3 2))) x)
90.0ms	(*.f64 (log.f64 y) 5/6)
59.0ms	(.f64 x (.f64 (log.f64 y) 5/6))

simplify56.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4897	873
1	4897	873

prune107.0ms (2.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	95	5	100

Merged error: 0b

Counts

100 → 5

Compiler

Compiled 2100 to 1337 computations (36.3% saved)

regimes54.0ms (1.5%)

Compiler: Compiled 322 to 260 computations (19.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	12
1	27	12

end0.0ms (0%)

sample611.0ms (16.3%)

Algorithm

1×

intervals

Results

317.0ms	7998×	body	128	valid
1.0ms	24×	body	128	invalid
1.0ms	26×	body	128	nan
1.0ms	2×	body	1024	valid

Compiler

Compiled 92 to 75 computations (18.5% saved)

Details

analyze193.0ms (5.1%)

sample17.0ms (0.5%)

simplify163.0ms (4.4%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite23.0ms (0.6%)

series190.0ms (5.1%)

simplify68.0ms (1.8%)

prune52.0ms (1.4%)

localize12.0ms (0.3%)

rewrite23.0ms (0.6%)

series592.0ms (15.8%)

simplify70.0ms (1.9%)

prune72.0ms (1.9%)

localize19.0ms (0.5%)

rewrite28.0ms (0.7%)

series725.0ms (19.3%)

simplify50.0ms (1.3%)

prune104.0ms (2.8%)

localize18.0ms (0.5%)

rewrite25.0ms (0.7%)

series464.0ms (12.4%)

simplify56.0ms (1.5%)

prune107.0ms (2.9%)

regimes54.0ms (1.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample611.0ms (16.3%)

Profiling