Details

analyze90.0ms (1.7%)

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
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	50%	25.1%	6
25%	31.2%	43.8%	7
31.2%	25%	43.8%	8
39%	17.2%	43.8%	9
42.9%	13.3%	43.8%	10
47.2%	9%	43.8%	11
49.4%	6.8%	43.8%	12
51.6%	4.6%	43.8%	13
52.7%	3.5%	43.8%	14

Compiler

Compiled 16 to 8 computations (50% saved)

sample16.0ms (0.3%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 31 to 17 computations (45.2% saved)

simplify125.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	39	13
1	39	13

prune4.0ms (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 → 2

Compiler

Compiled 33 to 21 computations (36.4% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 y (*.f64 y 3)))
0.2b	(.f64 y (.f64 y 3))

rewrite46.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`pow1_binary64_16166` `add-exp-log_binary64_16143` `add-cbrt-cube_binary64_16141`
4×	`add-log-exp_binary64_16144`
3×	`pow-prod-down_binary64_16176` `prod-exp_binary64_16154` `add-cube-cbrt_binary64_16140` `cbrt-unprod_binary64_16138` `add-sqr-sqrt_binary64_16127` `-un-lft-identity_binary64_16105` `associate-l*_binary64_16046`
1×	`associate-r_binary64_16045` `*-commutative_binary64_16036` `sum-log_binary64_16196` `flip3-+_binary64_16108` `flip-+_binary64_16079` `+-commutative_binary64_16035`

Counts

2 → 29

Calls

2 calls:

6.0ms	(.f64 y (.f64 y 3))
4.0ms	(+.f64 (.f64 x x) (.f64 y (*.f64 y 3)))

Compiler

Compiled 476 to 252 computations (47.1% saved)

series161.0ms (3%)

Error

0.1b

Counts

2 → 15

Calls

2 calls:

113.0ms	(+.f64 (.f64 x x) (.f64 y (*.f64 y 3)))
28.0ms	(.f64 y (.f64 y 3))

Compiler

Compiled 291 to 264 computations (9.3% saved)

simplify81.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4949	482
1	4949	482

prune46.0ms (0.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	40	4	44
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	40	6	46

Error

0.0b

Counts

46 → 6

Compiler

Compiled 584 to 289 computations (50.5% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y))
0.0b	(+.f64 (.f64 x x) (.f64 y y))
0.1b	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))

rewrite56.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

19×	`add-log-exp_binary64_16144`
10×	`sum-log_binary64_16196`
3×	`pow1_binary64_16166` `add-exp-log_binary64_16143` `add-cbrt-cube_binary64_16141` `add-cube-cbrt_binary64_16140` `add-sqr-sqrt_binary64_16127` `flip3-+_binary64_16108` `*-un-lft-identity_binary64_16105` `flip-+_binary64_16079` `+-commutative_binary64_16035`
2×	`associate-+l+_binary64_16038`

Counts

3 → 38

Calls

3 calls:

9.0ms	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
7.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y))
4.0ms	(+.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 1006 to 148 computations (85.3% saved)

series468.0ms (8.7%)

Error

0.0b

Counts

3 → 36

Calls

3 calls:

195.0ms	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
130.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y))
117.0ms	(+.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 942 to 675 computations (28.3% saved)

simplify98.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	5013	956

prune64.0ms (1.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	72	2	74
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	74	6	80

Error

0.0b

Counts

80 → 6

Compiler

Compiled 1194 to 343 computations (71.3% saved)

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (.f64 3 (.f64 y y))) (cbrt.f64 (.f64 3 (*.f64 y y))))
20.8b	(cbrt.f64 (.f64 3 (.f64 y y)))
20.8b	(cbrt.f64 (.f64 3 (.f64 y y)))
20.8b	(cbrt.f64 (.f64 3 (.f64 y y)))

rewrite115.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

11×	`pow1_binary64_16166`
10×	`add-sqr-sqrt_binary64_16127`
9×	`pow1/3_binary64_16187`
8×	`add-cube-cbrt_binary64_16140` `*-un-lft-identity_binary64_16105`
7×	`cbrt-prod_binary64_16136`
6×	`add-exp-log_binary64_16143`
4×	`add-log-exp_binary64_16144` `add-cbrt-cube_binary64_16141` `swap-sqr_binary64_16072` `associate-l_binary64_16046` `associate-r_binary64_16045`
2×	`pow-prod-down_binary64_16176` `pow-prod-up_binary64_16175` `pow-sqr_binary64_16078`
1×	`pow2_binary64_16186` `pow-plus_binary64_16168` `prod-exp_binary64_16154` `cbrt-unprod_binary64_16138` `unswap-sqr_binary64_16073` `*-commutative_binary64_16036`

Counts

4 → 58

Calls

4 calls:

7.0ms	(cbrt.f64 (.f64 3 (.f64 y y)))
7.0ms	(.f64 (cbrt.f64 (.f64 3 (.f64 y y))) (cbrt.f64 (.f64 3 (*.f64 y y))))
4.0ms	(cbrt.f64 (.f64 3 (.f64 y y)))
4.0ms	(cbrt.f64 (.f64 3 (.f64 y y)))

Compiler

Compiled 1745 to 948 computations (45.7% saved)

series577.0ms (10.8%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

180.0ms	(.f64 (cbrt.f64 (.f64 3 (.f64 y y))) (cbrt.f64 (.f64 3 (*.f64 y y))))
131.0ms	(cbrt.f64 (.f64 3 (.f64 y y)))
124.0ms	(cbrt.f64 (.f64 3 (.f64 y y)))
122.0ms	(cbrt.f64 (.f64 3 (.f64 y y)))

Compiler

Compiled 891 to 658 computations (26.2% saved)

simplify50.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4954	724
1	4954	724

prune106.0ms (2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	69	7	76

Error

Counts

76 → 7

Compiler

Compiled 1840 to 993 computations (46% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 y y) (.f64 x x))) (cbrt.f64 (+.f64 (.f64 y y) (*.f64 x x))))
5.6b	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x x)))
5.6b	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x x)))
5.6b	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x x)))

rewrite134.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_16136`
23×	`add-sqr-sqrt_binary64_16127`
18×	`cbrt-div_binary64_16137`
15×	`add-cube-cbrt_binary64_16140` `*-un-lft-identity_binary64_16105`
11×	`pow1_binary64_16166`
9×	`pow1/3_binary64_16187` `flip3-+_binary64_16108` `flip-+_binary64_16079`
6×	`add-exp-log_binary64_16143` `swap-sqr_binary64_16072` `associate-l_binary64_16046` `associate-r_binary64_16045`
4×	`add-log-exp_binary64_16144` `add-cbrt-cube_binary64_16141` `frac-times_binary64_16115` `unswap-sqr_binary64_16073`
2×	`pow-prod-down_binary64_16176` `pow-prod-up_binary64_16175` `pow-sqr_binary64_16078` `associate-l/_binary64_16048` `associate-r/_binary64_16047`
1×	`pow2_binary64_16186` `pow-plus_binary64_16168` `prod-exp_binary64_16154` `cbrt-unprod_binary64_16138` `*-commutative_binary64_16036`

Counts

4 → 87

Calls

4 calls:

18.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 y y) (.f64 x x))) (cbrt.f64 (+.f64 (.f64 y y) (*.f64 x x))))
4.0ms	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x x)))
4.0ms	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x x)))
4.0ms	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x x)))

Compiler

Compiled 4088 to 509 computations (87.5% saved)

series862.0ms (16.1%)

Error

Counts

4 → 48

Calls

4 calls:

204.0ms	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x x)))
203.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 y y) (.f64 x x))) (cbrt.f64 (+.f64 (.f64 y y) (*.f64 x x))))
200.0ms	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x x)))
184.0ms	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x x)))

Compiler

Compiled 4794 to 2509 computations (47.7% saved)

simplify130.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4958	2611
1	4958	2611

prune201.0ms (3.8%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	135	7	142

Error

Counts

142 → 7

Compiler

Compiled 5116 to 1010 computations (80.3% saved)

regimes481.0ms (9%)

Accuracy

Total 0.1b remaining (96.4%)

Threshold costs 0.1b (96.4%)

Compiler

Compiled 5201 to 3095 computations (40.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	19
1	13	19

end0.0ms (0%)

sample1.4s (25.9%)

Algorithm

1×

intervals

Results

289.0ms	8000×	body	128	valid
0.0ms	8×	body	128	invalid

Compiler

Compiled 808 to 490 computations (39.4% saved)

Details

analyze90.0ms (1.7%)

sample16.0ms (0.3%)

simplify125.0ms (2.3%)

prune4.0ms (0.1%)

localize6.0ms (0.1%)

rewrite46.0ms (0.9%)

series161.0ms (3%)

simplify81.0ms (1.5%)

prune46.0ms (0.9%)

localize13.0ms (0.2%)

rewrite56.0ms (1.1%)

series468.0ms (8.7%)

simplify98.0ms (1.8%)

prune64.0ms (1.2%)

localize19.0ms (0.4%)

rewrite115.0ms (2.1%)

series577.0ms (10.8%)

simplify50.0ms (0.9%)

prune106.0ms (2%)

localize13.0ms (0.2%)

rewrite134.0ms (2.5%)

series862.0ms (16.1%)

simplify130.0ms (2.4%)

prune201.0ms (3.8%)

regimes481.0ms (9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.4s (25.9%)

Profiling