Details

analyze579.0ms (11.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
18.7%	81.1%	0.2%	9
21.8%	78%	0.2%	10
25%	74.9%	0.2%	11
34.7%	64.9%	0.4%	12
47.2%	51.9%	0.9%	13
49%	49.2%	1.8%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample22.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	47×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify158.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	68	10
1	68	10

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

Merged error: 11.5b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

11.3b

(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

rewrite8.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-cbrt-cube_binary64_2132` `add-exp-log_binary64_2134`
4×	`cbrt-undiv_binary64_2130` `div-exp_binary64_2147` `prod-exp_binary64_2145` `cbrt-unprod_binary64_2129`
1×	`add-sqr-sqrt_binary64_2120` `add-cube-cbrt_binary64_2131` `pow1_binary64_2157` `frac-2neg_binary64_2110` `times-frac_binary64_2105` `add-log-exp_binary64_2135` `associate-/r_binary64_2045` `-un-lft-identity_binary64_2099` `clear-num_binary64_2098` `associate-/l*_binary64_2046` `div-inv_binary64_2096`

Counts

1 → 21

Calls

1 calls:

7.0ms

(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

series64.0ms (1.2%)

Counts

1 → 3

Calls

1 calls:

64.0ms

(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

simplify70.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4996	280
1	4996	280

prune23.0ms (0.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	17	7	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	8	25

Merged error: 0.1b

Counts

25 → 8

Compiler

Compiled 309 to 110 computations (64.4% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

11.1b

(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))

rewrite15.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64_2120`
22×	`times-frac_binary64_2105`
15×	`add-cube-cbrt_binary64_2131` `*-un-lft-identity_binary64_2099`
13×	`associate-l_binary64_2042` `add-cbrt-cube_binary64_2132` `associate-r_binary64_2041` `add-exp-log_binary64_2134`
4×	`cbrt-undiv_binary64_2130` `div-exp_binary64_2147` `prod-exp_binary64_2145` `unswap-sqr_binary64_2067` `cbrt-unprod_binary64_2129`
3×	`pow1_binary64_2157`
2×	`div-inv_binary64_2096`
1×	`associate-r/_binary64_2043` `-commutative_binary64_2032` `associate-*l/_binary64_2044` `add-log-exp_binary64_2135` `pow-prod-down_binary64_2167` `frac-times_binary64_2109`

Counts

1 → 50

Calls

1 calls:

11.0ms

(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))

series66.0ms (1.3%)

Counts

1 → 3

Calls

1 calls:

66.0ms

(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))

simplify94.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4999	713
1	4999	713

prune44.0ms (0.9%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	45	8	53
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	47	14	61

Merged error: 0b

Counts

61 → 14

Compiler

Compiled 811 to 260 computations (67.9% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 b2)
0.6b	(cbrt.f64 b2)
4.9b	(/.f64 (/.f64 a1 b1) (*.f64 (cbrt.f64 b2) (cbrt.f64 b2)))
7.0b	(.f64 (/.f64 (/.f64 a1 b1) (.f64 (cbrt.f64 b2) (cbrt.f64 b2))) (/.f64 a2 (cbrt.f64 b2)))

rewrite51.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

86×	`times-frac_binary64_2105`
68×	`add-sqr-sqrt_binary64_2120`
57×	`add-exp-log_binary64_2134`
41×	`add-cube-cbrt_binary64_2131` `*-un-lft-identity_binary64_2099`
40×	`add-cbrt-cube_binary64_2132`
23×	`cbrt-undiv_binary64_2130` `div-exp_binary64_2147`
22×	`associate-r_binary64_2041`
18×	`cbrt-prod_binary64_2127`
17×	`associate-l_binary64_2042`
16×	`prod-exp_binary64_2145` `cbrt-unprod_binary64_2129`
13×	`associate-/l*_binary64_2046`
9×	`unswap-sqr_binary64_2067`
6×	`pow1_binary64_2157` `div-inv_binary64_2096`
4×	`add-log-exp_binary64_2135`
2×	`pow1/3_binary64_2178`
1×	`associate-r/_binary64_2043` `-commutative_binary64_2032` `associate-/l/_binary64_2048` `associate-l/_binary64_2044` `frac-2neg_binary64_2110` `associate-/r_binary64_2045` `pow-prod-down_binary64_2167` `clear-num_binary64_2098` `frac-times_binary64_2109`

Counts

4 → 148

Calls

4 calls:

22.0ms	(.f64 (/.f64 (/.f64 a1 b1) (.f64 (cbrt.f64 b2) (cbrt.f64 b2))) (/.f64 a2 (cbrt.f64 b2)))
9.0ms	(/.f64 (/.f64 a1 b1) (*.f64 (cbrt.f64 b2) (cbrt.f64 b2)))
1.0ms	(cbrt.f64 b2)
1.0ms	(cbrt.f64 b2)

series605.0ms (11.8%)

Counts

4 → 12

Calls

4 calls:

171.0ms	(.f64 (/.f64 (/.f64 a1 b1) (.f64 (cbrt.f64 b2) (cbrt.f64 b2))) (/.f64 a2 (cbrt.f64 b2)))
153.0ms	(cbrt.f64 b2)
146.0ms	(cbrt.f64 b2)
134.0ms	(/.f64 (/.f64 a1 b1) (*.f64 (cbrt.f64 b2) (cbrt.f64 b2)))

simplify100.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4924	2547
1	4924	2547

prune124.0ms (2.4%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	159	1	160
Fresh	1	10	11
Picked	1	0	1
Done	0	2	2
Total	161	13	174

Merged error: 0b

Counts

174 → 13

Compiler

Compiled 2923 to 863 computations (70.5% saved)

localize211.0ms (4.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 b1)
1.7b	(.f64 (/.f64 (/.f64 1 (.f64 (cbrt.f64 b1) (cbrt.f64 b1))) (cbrt.f64 b2)) (*.f64 (/.f64 a2 (cbrt.f64 b2)) (/.f64 (/.f64 a1 (cbrt.f64 b1)) (cbrt.f64 b2))))
1.9b	(/.f64 (/.f64 a1 (cbrt.f64 b1)) (cbrt.f64 b2))
4.2b	(*.f64 (/.f64 a2 (cbrt.f64 b2)) (/.f64 (/.f64 a1 (cbrt.f64 b1)) (cbrt.f64 b2)))

rewrite227.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Rules

620×	`times-frac_binary64_2105`
391×	`add-sqr-sqrt_binary64_2120`
346×	`add-exp-log_binary64_2134`
307×	`cbrt-prod_binary64_2127`
305×	`add-cube-cbrt_binary64_2131` `*-un-lft-identity_binary64_2099`
161×	`div-exp_binary64_2147`
137×	`associate-r_binary64_2041`
131×	`prod-exp_binary64_2145`
105×	`add-cbrt-cube_binary64_2132`
83×	`cbrt-undiv_binary64_2130`
68×	`associate-l_binary64_2042`
65×	`cbrt-unprod_binary64_2129`
23×	`div-inv_binary64_2096`
22×	`associate-/l*_binary64_2046`
21×	`unswap-sqr_binary64_2067`
14×	`1-exp_binary64_2140` `rec-exp_binary64_2146`
11×	`pow1_binary64_2157`
6×	`associate-r/_binary64_2043` `associate-/r_binary64_2045` `frac-times_binary64_2109`
4×	`associate-*l/_binary64_2044` `add-log-exp_binary64_2135` `pow-prod-down_binary64_2167`
2×	`*-commutative_binary64_2032`
1×	`pow1/3_binary64_2178` `associate-/l/_binary64_2048` `frac-2neg_binary64_2110` `clear-num_binary64_2098`

Counts

4 → 537

Calls

4 calls:

76.0ms	(*.f64 (/.f64 a2 (cbrt.f64 b2)) (/.f64 (/.f64 a1 (cbrt.f64 b1)) (cbrt.f64 b2)))
39.0ms	(.f64 (/.f64 (/.f64 1 (.f64 (cbrt.f64 b1) (cbrt.f64 b1))) (cbrt.f64 b2)) (*.f64 (/.f64 a2 (cbrt.f64 b2)) (/.f64 (/.f64 a1 (cbrt.f64 b1)) (cbrt.f64 b2))))
11.0ms	(/.f64 (/.f64 a1 (cbrt.f64 b1)) (cbrt.f64 b2))
1.0ms	(cbrt.f64 b1)

series706.0ms (13.7%)

Counts

4 → 12

Calls

4 calls:

229.0ms	(*.f64 (/.f64 a2 (cbrt.f64 b2)) (/.f64 (/.f64 a1 (cbrt.f64 b1)) (cbrt.f64 b2)))
187.0ms	(.f64 (/.f64 (/.f64 1 (.f64 (cbrt.f64 b1) (cbrt.f64 b1))) (cbrt.f64 b2)) (*.f64 (/.f64 a2 (cbrt.f64 b2)) (/.f64 (/.f64 a1 (cbrt.f64 b1)) (cbrt.f64 b2))))
145.0ms	(/.f64 (/.f64 a1 (cbrt.f64 b1)) (cbrt.f64 b2))
144.0ms	(cbrt.f64 b1)

simplify190.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

549 → 549

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4996	15457
1	4996	15457

prune690.0ms (13.4%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	549	0	549
Fresh	0	10	10
Picked	0	1	1
Done	0	2	2
Total	549	13	562

Merged error: 0b

Counts

562 → 13

Compiler

Compiled 17620 to 4649 computations (73.6% saved)

regimes294.0ms (5.7%)

Compiler: Compiled 1095 to 995 computations (9.1% saved)

bsearch2.0ms (0%)

Compiler: Compiled 7 to 7 computations (0% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	110
1	30	110

end0.0ms (0%)

sample771.0ms (15%)

Algorithm

1×

intervals

Results

230.0ms	8000×	body	128	valid
53.0ms	1798×	body	128	invalid

Compiler

Compiled 227 to 160 computations (29.5% saved)

Details

analyze579.0ms (11.3%)

sample22.0ms (0.4%)

simplify158.0ms (3.1%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite8.0ms (0.2%)

series64.0ms (1.2%)

simplify70.0ms (1.4%)

prune23.0ms (0.5%)

localize5.0ms (0.1%)

rewrite15.0ms (0.3%)

series66.0ms (1.3%)

simplify94.0ms (1.8%)

prune44.0ms (0.9%)

localize10.0ms (0.2%)

rewrite51.0ms (1%)

series605.0ms (11.8%)

simplify100.0ms (1.9%)

prune124.0ms (2.4%)

localize211.0ms (4.1%)

rewrite227.0ms (4.4%)

series706.0ms (13.7%)

simplify190.0ms (3.7%)

prune690.0ms (13.4%)

regimes294.0ms (5.7%)

bsearch2.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample771.0ms (15%)

Profiling