Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
74.9%	25%	0.1%	3
87.4%	12.5%	0.1%	4
93.7%	6.2%	0.1%	5
96.8%	3.1%	0.1%	6
98.3%	1.6%	0.1%	7
99.1%	0.8%	0.1%	8
99.5%	0.4%	0.1%	9
99.7%	0.2%	0.1%	10
99.8%	0.1%	0.1%	11
99.9%	0%	0.1%	12
99.9%	0%	0.1%	13
99.9%	0%	0.1%	14

sample15.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

prune5.0ms

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: 0.9b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.9b	(/.f64 (atan2.f64 im re) (log.f64 10))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

12×	`times-frac_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
5×	`pow1_binary64`
4×	`associate-/r*_binary64` `log-pow_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
1×	`add-log-exp_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

1 → 31

Calls

1 calls:

3.0ms

(/.f64 (atan2.f64 im re) (log.f64 10))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(/.f64 (atan2.f64 im re) (log.f64 10))

simplify141.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (128.0ms)

Iter	Nodes	Cost
0	5097	518

prune30.0ms

Filtered

22 candidates to 34 candidates (-54.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	28	6	34
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	29	6	35

Merged error: 0.1b

Counts

35 → 6

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
0.8b	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-sqr-sqrt_binary64`
85×	`times-frac_binary64`
52×	`*-un-lft-identity_binary64`
51×	`sqrt-prod_binary64`
46×	`add-cube-cbrt_binary64`
26×	`add-exp-log_binary64`
25×	`associate-r_binary64` `associate-l_binary64`
16×	`add-cbrt-cube_binary64`
15×	`unswap-sqr_binary64`
14×	`pow1_binary64`
10×	`log-pow_binary64`
9×	`div-exp_binary64`
8×	`prod-exp_binary64`
7×	`associate-/r*_binary64`
5×	`cbrt-undiv_binary64`
4×	`cbrt-unprod_binary64`
3×	`associate-/l*_binary64` `div-inv_binary64`
2×	`add-log-exp_binary64` `1-exp_binary64` `rec-exp_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

2 → 132

Calls

2 calls:

4.0ms	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
21.0ms	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))

series94.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
36.0ms	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))

simplify110.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5035	2592

prune97.0ms

Filtered

69 candidates to 138 candidates (-100.0%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	131	7	138
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	133	11	144

Merged error: 0.0b

Counts

144 → 11

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10))))
0.8b	(.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10)))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-exp-log_binary64`
46×	`times-frac_binary64`
43×	`add-sqr-sqrt_binary64`
40×	`prod-exp_binary64`
33×	`*-un-lft-identity_binary64`
31×	`add-cube-cbrt_binary64`
28×	`add-cbrt-cube_binary64` `associate-l_binary64`
26×	`associate-r_binary64` `sqrt-prod_binary64`
20×	`div-exp_binary64`
15×	`pow1_binary64`
12×	`cbrt-unprod_binary64`
10×	`1-exp_binary64` `rec-exp_binary64`
6×	`cbrt-undiv_binary64` `log-pow_binary64`
5×	`associate-*r/_binary64` `unswap-sqr_binary64`
4×	`pow-prod-down_binary64`
3×	`un-div-inv_binary64`
2×	`add-log-exp_binary64` `div-inv_binary64` `frac-times_binary64` `*-commutative_binary64`
1×	`associate-*l/_binary64`

Counts

2 → 117

Calls

2 calls:

11.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10))))
15.0ms	(.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10)))))

series88.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10))))
35.0ms	(.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10)))))

simplify149.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (124.0ms)

Iter	Nodes	Cost
0	4734	1642
1	4734	1642

prune70.0ms

Filtered

54 candidates to 123 candidates (-127.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	121	2	123
Fresh	7	3	10
Picked	0	1	1
Done	0	0	0
Total	128	6	134

Merged error: 0b

Counts

134 → 6

localize13.0ms

Local error

Found 2 expressions with local error:

0.8b	(.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (log.f64 10)))) (.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2)))
0.9b	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

51×	`sqrt-prod_binary64`
48×	`add-sqr-sqrt_binary64`
46×	`times-frac_binary64`
35×	`*-un-lft-identity_binary64`
34×	`add-exp-log_binary64`
33×	`add-cube-cbrt_binary64`
31×	`associate-l_binary64`
30×	`associate-r_binary64` `unpow-prod-down_binary64`
19×	`prod-exp_binary64`
10×	`pow1_binary64`
9×	`add-cbrt-cube_binary64`
8×	`pow-exp_binary64`
7×	`unswap-sqr_binary64`
6×	`log-pow_binary64`
4×	`cbrt-unprod_binary64` `div-exp_binary64`
2×	`pow-to-exp_binary64` `add-log-exp_binary64` `1-exp_binary64` `sqr-pow_binary64` `rec-exp_binary64` `div-inv_binary64` `*-commutative_binary64`
1×	`pow-prod-down_binary64` `sqrt-div_binary64` `associate-*l/_binary64`

Counts

2 → 102

Calls

2 calls:

18.0ms	(.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (log.f64 10)))) (.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2)))
15.0ms	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2))

series160.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (log.f64 10)))) (.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2)))
123.0ms	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2))

simplify74.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5537	2642

prune105.0ms

Filtered

63 candidates to 108 candidates (-71.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	108	6	114

Merged error: 0b

Counts

114 → 6

regimes47.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	29
1	18	29

end0.0ms

sample409.0ms

Algorithm

intervals

Results

273.0ms

8000×

body

valid

Details

analyze4.0ms

sample15.0ms

simplify12.0ms

prune5.0ms

localize7.0ms

rewrite4.0ms

series43.0ms

simplify141.0ms

prune30.0ms

localize9.0ms

rewrite32.0ms

series94.0ms

simplify110.0ms

prune97.0ms

localize9.0ms

rewrite32.0ms

series88.0ms

simplify149.0ms

prune70.0ms

localize13.0ms

rewrite39.0ms

series160.0ms

simplify74.0ms

prune105.0ms

regimes47.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample409.0ms

Profiling