Details

analyze25.0ms (0.7%)

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample13.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify95.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	9
1	12	9

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: 17.6b

Counts

2 → 1

Compiler

Compiled 12 to 12 computations (0% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

17.2b

(cbrt.f64 (/.f64 g (*.f64 2 a)))

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`cbrt-prod_binary64_2155`
3×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `times-frac_binary64_2130` `*-un-lft-identity_binary64_2124`
1×	`cbrt-div_binary64_2156` `pow1_binary64_2185` `add-log-exp_binary64_2163` `pow1/3_binary64_2206` `add-exp-log_binary64_2162` `div-inv_binary64_2121` `add-cbrt-cube_binary64_2160`

Counts

1 → 16

Calls

1 calls:

3.0ms

(cbrt.f64 (/.f64 g (*.f64 2 a)))

series77.0ms (2.1%)

Counts

1 → 3

Calls

1 calls:

77.0ms

(cbrt.f64 (/.f64 g (*.f64 2 a)))

simplify70.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4895	244
1	4895	244

prune27.0ms (0.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	12	7	19
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	8	20

Merged error: 0.2b

Counts

20 → 8

Compiler

Compiled 277 to 208 computations (24.9% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.3b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
0.6b	(cbrt.f64 (*.f64 2 a))
0.6b	(cbrt.f64 g)

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`cbrt-prod_binary64_2155`
24×	`times-frac_binary64_2130`
21×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
6×	`associate-/l*_binary64_2069`
5×	`add-exp-log_binary64_2162`
4×	`associate-/r*_binary64_2068`
3×	`pow1_binary64_2185` `add-log-exp_binary64_2163` `add-cbrt-cube_binary64_2160`
2×	`pow1/3_binary64_2206`
1×	`clear-num_binary64_2123` `cbrt-undiv_binary64_2158` `div-inv_binary64_2121` `div-exp_binary64_2175` `frac-2neg_binary64_2135`

Counts

3 → 66

Calls

3 calls:

4.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
2.0ms	(cbrt.f64 (*.f64 2 a))
1.0ms	(cbrt.f64 g)

series292.0ms (7.8%)

Counts

3 → 9

Calls

3 calls:

104.0ms	(cbrt.f64 (*.f64 2 a))
97.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
91.0ms	(cbrt.f64 g)

simplify62.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5017	1128

prune84.0ms (2.2%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	64	11	75
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	66	17	83

Merged error: 0.0b

Counts

83 → 17

Compiler

Compiled 1177 to 773 computations (34.3% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 1 (cbrt.f64 (*.f64 2 a)))
0.4b	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
0.6b	(cbrt.f64 (*.f64 2 a))
0.6b	(cbrt.f64 g)

rewrite25.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`add-sqr-sqrt_binary64_2146`
28×	`times-frac_binary64_2130`
26×	`*-un-lft-identity_binary64_2124`
24×	`add-cube-cbrt_binary64_2159`
17×	`cbrt-prod_binary64_2155` `add-exp-log_binary64_2162`
16×	`associate-r_binary64_2064`
7×	`pow1_binary64_2185` `add-cbrt-cube_binary64_2160`
6×	`unswap-sqr_binary64_2092` `associate-l_binary64_2065`
4×	`associate-/r*_binary64_2068` `add-log-exp_binary64_2163` `prod-exp_binary64_2173` `div-exp_binary64_2175`
3×	`associate-/l*_binary64_2069` `pow1/3_binary64_2206`
2×	`cbrt-undiv_binary64_2158` `pow-flip_binary64_2198` `1-exp_binary64_2168` `div-inv_binary64_2121` `cbrt-unprod_binary64_2157` `rec-exp_binary64_2174`
1×	`pow-prod-down_binary64_2195` `clear-num_binary64_2123` `un-div-inv_binary64_2122` `-commutative_binary64_2055` `associate-r/_binary64_2066` `inv-pow_binary64_2209` `frac-2neg_binary64_2135`

Counts

4 → 101

Calls

4 calls:

11.0ms	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
4.0ms	(/.f64 1 (cbrt.f64 (*.f64 2 a)))
2.0ms	(cbrt.f64 (*.f64 2 a))
1.0ms	(cbrt.f64 g)

series393.0ms (10.5%)

Counts

4 → 12

Calls

4 calls:

119.0ms	(/.f64 1 (cbrt.f64 (*.f64 2 a)))
95.0ms	(cbrt.f64 (*.f64 2 a))
90.0ms	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
89.0ms	(cbrt.f64 g)

simplify71.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5248	1389

prune110.0ms (2.9%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	109	4	113
Fresh	4	11	15
Picked	0	1	1
Done	0	1	1
Total	113	17	130

Merged error: 0.0b

Counts

130 → 17

Compiler

Compiled 1723 to 1248 computations (27.6% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.4b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
0.6b	(cbrt.f64 g)
0.6b	(cbrt.f64 (/.f64 1/2 a))

rewrite18.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`cbrt-prod_binary64_2155`
35×	`add-sqr-sqrt_binary64_2146`
21×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
20×	`times-frac_binary64_2130`
16×	`associate-r_binary64_2064`
6×	`unswap-sqr_binary64_2092` `associate-l_binary64_2065`
5×	`pow1_binary64_2185` `add-exp-log_binary64_2162`
4×	`pow1/3_binary64_2206`
3×	`add-log-exp_binary64_2163` `add-cbrt-cube_binary64_2160`
2×	`cbrt-div_binary64_2156` `pow-prod-down_binary64_2195` `div-inv_binary64_2121`
1×	`-commutative_binary64_2055` `prod-exp_binary64_2173` `associate-r/_binary64_2066` `cbrt-unprod_binary64_2157`

Counts

3 → 74

Calls

3 calls:

10.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
2.0ms	(cbrt.f64 (/.f64 1/2 a))
1.0ms	(cbrt.f64 g)

series269.0ms (7.2%)

Counts

3 → 9

Calls

3 calls:

97.0ms	(cbrt.f64 (/.f64 1/2 a))
89.0ms	(cbrt.f64 g)
83.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))

simplify101.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4938	1089
1	4938	1089

prune72.0ms (1.9%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	77	6	83
Fresh	4	10	14
Picked	1	0	1
Done	1	1	2
Total	83	17	100

Merged error: 0.0b

Counts

100 → 17

Compiler

Compiled 1040 to 659 computations (36.6% saved)

regimes526.0ms (14.1%)

Compiler: Compiled 4294 to 3793 computations (11.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	11
1	9	11

end0.0ms (0%)

sample1.4s (36.2%)

Algorithm

1×

intervals

Results

228.0ms

8000×

body

128

valid

Compiler

Compiled 828 to 733 computations (11.5% saved)

Details

analyze25.0ms (0.7%)

sample13.0ms (0.4%)

simplify95.0ms (2.5%)

prune2.0ms (0.1%)

localize9.0ms (0.2%)

rewrite4.0ms (0.1%)

series77.0ms (2.1%)

simplify70.0ms (1.9%)

prune27.0ms (0.7%)

localize7.0ms (0.2%)

rewrite12.0ms (0.3%)

series292.0ms (7.8%)

simplify62.0ms (1.7%)

prune84.0ms (2.2%)

localize8.0ms (0.2%)

rewrite25.0ms (0.7%)

series393.0ms (10.5%)

simplify71.0ms (1.9%)

prune110.0ms (2.9%)

localize9.0ms (0.2%)

rewrite18.0ms (0.5%)

series269.0ms (7.2%)

simplify101.0ms (2.7%)

prune72.0ms (1.9%)

regimes526.0ms (14.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.4s (36.2%)

Profiling