Details

analyze3.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
99.7%	0%	0.3%	1

sample183.0ms (1.7%)

Algorithm

1×

intervals

Results

78.0ms	64×	body	2560	valid
58.0ms	78×	body	1280	valid
15.0ms	31×	body	640	valid
6.0ms	59×	body	80	valid
5.0ms	14×	body	320	valid
2.0ms	10×	body	160	valid

simplify20.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	771	27
1	771	27

prune10.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 47.0b

Counts

2 → 1

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.9b	(.f64 (.f64 (+.f64 (*.f64 y 2.0) 1.0) z) t)
2.9b	(.f64 (.f64 (+.f64 (*.f64 a 2.0) 1.0) b) t)
35.0b	(cos.f64 (/.f64 (.f64 (.f64 (+.f64 (*.f64 a 2.0) 1.0) b) t) 16.0))
36.4b	(cos.f64 (/.f64 (.f64 (.f64 (+.f64 (*.f64 y 2.0) 1.0) z) t) 16.0))

rewrite26.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-*l/_binary64`
6×	`pow-prod-down_binary64` `-un-lft-identity_binary64` `cbrt-unprod_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64`
2×	`flip3-+_binary64` `associate-l_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

4 → 54

Calls

4 calls:

10.0ms	(.f64 (.f64 (+.f64 (*.f64 y 2.0) 1.0) z) t)
9.0ms	(.f64 (.f64 (+.f64 (*.f64 a 2.0) 1.0) b) t)
3.0ms	(cos.f64 (/.f64 (.f64 (.f64 (+.f64 (*.f64 y 2.0) 1.0) z) t) 16.0))
3.0ms	(cos.f64 (/.f64 (.f64 (.f64 (+.f64 (*.f64 a 2.0) 1.0) b) t) 16.0))

series55.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

17.0ms	(cos.f64 (/.f64 (.f64 (.f64 (+.f64 (*.f64 a 2.0) 1.0) b) t) 16.0))
15.0ms	(cos.f64 (/.f64 (.f64 (.f64 (+.f64 (*.f64 y 2.0) 1.0) z) t) 16.0))
12.0ms	(.f64 (.f64 (+.f64 (*.f64 a 2.0) 1.0) b) t)
11.0ms	(.f64 (.f64 (+.f64 (*.f64 y 2.0) 1.0) z) t)

simplify36.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5202	710

prune256.0ms (2.4%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	45	21	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	21	67

Merged error: 41.6b

Counts

67 → 21

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 x (cos.f64 (/.f64 (.f64 (.f64 (+.f64 (.f64 y 2.0) 1.0) z) t) 16.0)))
0.2b	(/.f64 (.f64 (.f64 (+.f64 (*.f64 y 2.0) 1.0) z) t) 16.0)
1.9b	(.f64 (.f64 (+.f64 (*.f64 y 2.0) 1.0) z) t)
36.4b	(cos.f64 (/.f64 (.f64 (.f64 (+.f64 (*.f64 y 2.0) 1.0) z) t) 16.0))

rewrite29.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`pow1_binary64` `add-sqr-sqrt_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`associate-*l/_binary64`
7×	`cbrt-unprod_binary64` `prod-exp_binary64`
6×	`associate-r_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `associate-l_binary64`
3×	`associate-/r*_binary64` `cbrt-undiv_binary64` `times-frac_binary64` `div-exp_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `flip-+_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

4 → 70

Calls

4 calls:

11.0ms	(/.f64 (.f64 (.f64 (+.f64 (*.f64 y 2.0) 1.0) z) t) 16.0)
9.0ms	(.f64 (.f64 (+.f64 (*.f64 y 2.0) 1.0) z) t)
4.0ms	(.f64 x (cos.f64 (/.f64 (.f64 (.f64 (+.f64 (.f64 y 2.0) 1.0) z) t) 16.0)))
3.0ms	(cos.f64 (/.f64 (.f64 (.f64 (+.f64 (*.f64 y 2.0) 1.0) z) t) 16.0))

series68.0ms (0.7%)

Counts

4 → 12

Calls

4 calls:

29.0ms	(.f64 x (cos.f64 (/.f64 (.f64 (.f64 (+.f64 (.f64 y 2.0) 1.0) z) t) 16.0)))
15.0ms	(cos.f64 (/.f64 (.f64 (.f64 (+.f64 (*.f64 y 2.0) 1.0) z) t) 16.0))
12.0ms	(/.f64 (.f64 (.f64 (+.f64 (*.f64 y 2.0) 1.0) z) t) 16.0)
11.0ms	(.f64 (.f64 (+.f64 (*.f64 y 2.0) 1.0) z) t)

simplify42.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4992	990
1	4992	990

prune308.0ms (2.9%)

Pruning

36 alts after pruning (36 fresh and 0 done)

	Pruned	Kept	Total
New	63	19	82
Fresh	3	17	20
Picked	1	0	1
Done	0	0	0
Total	67	36	103

Merged error: 39.9b

Counts

103 → 36

localize2.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

prune173.0ms (1.7%)

Pruning

36 alts after pruning (35 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	35	35
Picked	1	1
Done	0	0
Total	36	36

Merged error: 39.9b

Counts

36 → 36

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b	(cbrt.f64 16.0)
1.0b	(cbrt.f64 16.0)
2.1b	(.f64 (/.f64 (.f64 (+.f64 (.f64 y 2.0) 1.0) z) (.f64 (cbrt.f64 16.0) (cbrt.f64 16.0))) (/.f64 t (cbrt.f64 16.0)))
36.3b	(cos.f64 (.f64 (/.f64 (.f64 (+.f64 (.f64 y 2.0) 1.0) z) (.f64 (cbrt.f64 16.0) (cbrt.f64 16.0))) (/.f64 t (cbrt.f64 16.0))))

rewrite28.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`add-exp-log_binary64`
32×	`add-cbrt-cube_binary64`
28×	`add-sqr-sqrt_binary64`
22×	`associate-r_binary64`
21×	`times-frac_binary64`
20×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
18×	`cbrt-unprod_binary64` `prod-exp_binary64`
16×	`cbrt-prod_binary64`
13×	`cbrt-undiv_binary64` `div-exp_binary64`
6×	`pow1_binary64`
5×	`associate-l_binary64`
4×	`add-log-exp_binary64`
3×	`unswap-sqr_binary64`
2×	`pow1/3_binary64` `div-inv_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 91

Calls

4 calls:

18.0ms	(.f64 (/.f64 (.f64 (+.f64 (.f64 y 2.0) 1.0) z) (.f64 (cbrt.f64 16.0) (cbrt.f64 16.0))) (/.f64 t (cbrt.f64 16.0)))
3.0ms	(cos.f64 (.f64 (/.f64 (.f64 (+.f64 (.f64 y 2.0) 1.0) z) (.f64 (cbrt.f64 16.0) (cbrt.f64 16.0))) (/.f64 t (cbrt.f64 16.0))))
1.0ms	(cbrt.f64 16.0)
1.0ms	(cbrt.f64 16.0)

series48.0ms (0.5%)

Counts

4 → 8

Calls

4 calls:

25.0ms	(cos.f64 (.f64 (/.f64 (.f64 (+.f64 (.f64 y 2.0) 1.0) z) (.f64 (cbrt.f64 16.0) (cbrt.f64 16.0))) (/.f64 t (cbrt.f64 16.0))))
23.0ms	(.f64 (/.f64 (.f64 (+.f64 (.f64 y 2.0) 1.0) z) (.f64 (cbrt.f64 16.0) (cbrt.f64 16.0))) (/.f64 t (cbrt.f64 16.0)))
0.0ms	(cbrt.f64 16.0)
0.0ms	(cbrt.f64 16.0)

simplify35.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	4967	1302
1	4967	1302

prune174.0ms (1.7%)

Pruning

41 alts after pruning (40 fresh and 1 done)

	Pruned	Kept	Total
New	89	10	99
Fresh	4	30	34
Picked	1	0	1
Done	0	1	1
Total	94	41	135

Merged error: 39.7b

Counts

135 → 41

regimes3.3s (31.9%)

Accuracy

Total 4.5b remaining (10.1%)

Threshold costs 0b (0%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	1
1	5	1

end0.0ms (0%)

sample5.6s (53.2%)

Algorithm

1×

intervals

Results

2.5s	1817×	body	2560	valid
1.6s	2283×	body	1280	valid
564.0ms	1163×	body	640	valid
218.0ms	1933×	body	80	valid
177.0ms	515×	body	320	valid
97.0ms	35×	body	5120	valid
63.0ms	254×	body	160	valid

Details

analyze3.0ms (0%)

sample183.0ms (1.7%)

simplify20.0ms (0.2%)

prune10.0ms (0.1%)

localize25.0ms (0.2%)

rewrite26.0ms (0.3%)

series55.0ms (0.5%)

simplify36.0ms (0.3%)

prune256.0ms (2.4%)

localize15.0ms (0.1%)

rewrite29.0ms (0.3%)

series68.0ms (0.7%)

simplify42.0ms (0.4%)

prune308.0ms (2.9%)

localize2.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify5.0ms (0%)

prune173.0ms (1.7%)

localize19.0ms (0.2%)

rewrite28.0ms (0.3%)

series48.0ms (0.5%)

simplify35.0ms (0.3%)

prune174.0ms (1.7%)

regimes3.3s (31.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample5.6s (53.2%)

Profiling