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

sample23.0ms

Algorithm

intervals

Results

16.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	6
1	6	6

prune3.0ms

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

localize5.0ms

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))

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

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

simplify100.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4498	330
1	4498	330

prune46.0ms

Filtered

22 candidates to 34 candidates (-54.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	28	6	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	7	35

Merged error: 0.0b

Counts

35 → 7

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:

5.0ms	(/.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))))

series20.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
7.0ms	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))

simplify68.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4951	1597
1	4951	1597

prune153.0ms

Filtered

68 candidates to 138 candidates (-102.9%)

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	1	0	1
Total	134	11	145

Merged error: 0b

Counts

145 → 11

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(*.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)))))

rewrite34.0ms

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)))))

series17.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10))))
7.0ms	(.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10)))))

simplify93.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4709	1035
1	4709	1035

prune94.0ms

Filtered

57 candidates to 123 candidates (-115.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	5	5	10
Picked	0	1	1
Done	0	0	0
Total	127	7	134

Merged error: 0b

Counts

134 → 7

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

rewrite37.0ms

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)))
13.0ms	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2))

series35.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(.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)))
28.0ms	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2))

simplify45.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5302	1640

prune107.0ms

Filtered

63 candidates to 108 candidates (-71.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	110	5	115

Merged error: 0b

Counts

115 → 5

regimes121.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	18
1	16	18

end0.0ms

sample408.0ms

Algorithm

intervals

Results

279.0ms

8000×

body

valid

Details

analyze4.0ms

sample23.0ms

simplify5.0ms

prune3.0ms

localize5.0ms

rewrite4.0ms

series10.0ms

simplify100.0ms

prune46.0ms

localize9.0ms

rewrite32.0ms

series20.0ms

simplify68.0ms

prune153.0ms

localize8.0ms

rewrite34.0ms

series17.0ms

simplify93.0ms

prune94.0ms

localize13.0ms

rewrite37.0ms

series35.0ms

simplify45.0ms

prune107.0ms

regimes121.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample408.0ms

Profiling