Details

analyze23.0ms (0.9%)

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
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
87.4%	12.5%	0.1%	6
87.4%	12.5%	0.1%	7
93.7%	6.2%	0.1%	8
93.7%	6.2%	0.1%	9
96.8%	3.1%	0.1%	10
96.8%	3.1%	0.1%	11
98.3%	1.6%	0.1%	12
98.3%	1.6%	0.1%	13
99.1%	0.8%	0.1%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample12.0ms (0.5%)

Algorithm

1×

intervals

Results

5.0ms	239×	body	80	valid
1.0ms	6×	body	1280	valid
1.0ms	7×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	2560	valid

Compiler

Compiled 15 to 17 computations (-13.3% saved)

simplify17.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	99	7
1	99	7

prune4.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 x (*.f64 3/8 y))

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`*-un-lft-identity_binary64` `sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `flip--_binary64`

Counts

1 → 11

Calls

1 calls:

3.0ms

(-.f64 x (*.f64 3/8 y))

series5.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

5.0ms

(-.f64 x (*.f64 3/8 y))

simplify104.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	5123	161

prune17.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	11	3	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	4	15

Merged error: 0.0b

Counts

15 → 4

Compiler

Compiled 176 to 126 computations (28.4% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (-.f64 x (.f64 3/8 y))) (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
0.5b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
0.5b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
0.5b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

rewrite21.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `flip--_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

10.0ms	(.f64 (cbrt.f64 (-.f64 x (.f64 3/8 y))) (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

series123.0ms (5%)

Counts

4 → 12

Calls

4 calls:

36.0ms	(.f64 (cbrt.f64 (-.f64 x (.f64 3/8 y))) (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
31.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
28.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
27.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

simplify78.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4825	1829
1	4825	1829

prune110.0ms (4.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	94	5	99
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	96	7	103

Merged error: 0.0b

Counts

103 → 7

Compiler

Compiled 2758 to 2005 computations (27.3% saved)

localize12.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
0.5b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
0.5b	(cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
0.5b	(cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))))

rewrite14.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`cbrt-prod_binary64`
12×	`cbrt-div_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip--_binary64`

Counts

4 → 58

Calls

4 calls:

3.0ms	(cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
3.0ms	(cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

series112.0ms (4.5%)

Counts

4 → 12

Calls

4 calls:

30.0ms	(cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
27.0ms	(cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
27.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
27.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

simplify91.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4854	1266
1	4854	1266

prune106.0ms (4.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	69	8	77

Merged error: 0.0b

Counts

77 → 8

Compiler

Compiled 2849 to 2146 computations (24.7% saved)

localize19.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (.f64 3/8 y))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))) 2)))
0.5b	(cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
0.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))) 2))
0.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))) 2))

rewrite39.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

165×	`cbrt-prod_binary64`
76×	`add-sqr-sqrt_binary64`
60×	`unpow-prod-down_binary64`
36×	`unswap-sqr_binary64`
28×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
18×	`unpow2_binary64` `sqr-pow_binary64`
14×	`swap-sqr_binary64` `associate-r_binary64` `associate-l_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`add-exp-log_binary64`
4×	`cbrt-div_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`flip3--_binary64` `cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `flip--_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 150

Calls

4 calls:

18.0ms	(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (.f64 3/8 y))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))) 2)))
5.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))) 2))
5.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))) 2))
3.0ms	(cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))))

series148.0ms (6%)

Counts

4 → 12

Calls

4 calls:

42.0ms	(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (.f64 3/8 y))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))) 2)))
40.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))) 2))
37.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))) 2))
29.0ms	(cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))))

simplify141.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4860	4600
1	4860	4600

prune355.0ms (14.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	162	0	162
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	162	8	170

Merged error: 0.0b

Counts

170 → 8

Compiler

Compiled 6944 to 5460 computations (21.4% saved)

regimes77.0ms (3.1%)

Compiler: Compiled 442 to 352 computations (20.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	7
1	33	7

end0.0ms (0%)

sample836.0ms (33.7%)

Algorithm

1×

intervals

Results

166.0ms	7441×	body	80	valid
20.0ms	210×	body	1280	valid
11.0ms	151×	body	640	valid
7.0ms	66×	body	2560	valid
5.0ms	83×	body	320	valid
2.0ms	49×	body	160	valid

Compiler

Compiled 232 to 187 computations (19.4% saved)

Details

analyze23.0ms (0.9%)

sample12.0ms (0.5%)

simplify17.0ms (0.7%)

prune4.0ms (0.2%)

localize3.0ms (0.1%)

rewrite4.0ms (0.1%)

series5.0ms (0.2%)

simplify104.0ms (4.2%)

prune17.0ms (0.7%)

localize7.0ms (0.3%)

rewrite21.0ms (0.8%)

series123.0ms (5%)

simplify78.0ms (3.2%)

prune110.0ms (4.4%)

localize12.0ms (0.5%)

rewrite14.0ms (0.6%)

series112.0ms (4.5%)

simplify91.0ms (3.7%)

prune106.0ms (4.3%)

localize19.0ms (0.7%)

rewrite39.0ms (1.6%)

series148.0ms (6%)

simplify141.0ms (5.7%)

prune355.0ms (14.3%)

regimes77.0ms (3.1%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample836.0ms (33.7%)

Profiling