Details

analyze215.0ms

Algorithm

Search

True	Other	False	Iter
0%	25%	75%	0
0%	25%	75%	1
12.5%	12.5%	75%	2
12.5%	12.5%	75%	3
18.7%	6.2%	75%	4
21.8%	3.1%	75%	5
23.4%	1.6%	75%	6
23.4%	1.6%	75%	7
24.2%	0.8%	75%	8
24.2%	0.8%	75%	9
24.6%	0.4%	75%	10
24.6%	0.4%	75%	11
24.8%	0.2%	75%	12
24.8%	0.2%	75%	13
24.9%	0.1%	75%	14

sample65.0ms

Algorithm

intervals

Results

22.0ms	47×	body	1280	valid
13.0ms	44×	body	640	valid
9.0ms	141×	body	80	valid
5.0ms	256×	pre	80	true
4.0ms	20×	body	320	valid
1.0ms	4×	body	160	valid

simplify447.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	23	11
1	23	11

prune4.0ms

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: 0.1b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
0.1b	(*.f64 e (sin.f64 v))
0.1b	(*.f64 e (cos.f64 v))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

3 calls:

6.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
4.0ms	(*.f64 e (sin.f64 v))
6.0ms	(*.f64 e (cos.f64 v))

series43.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
7.0ms	(*.f64 e (sin.f64 v))
16.0ms	(*.f64 e (cos.f64 v))

simplify56.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4949	588
1	4949	588

prune83.0ms

Filtered

48 candidates to 68 candidates (-41.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	62	6	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	6	69

Merged error: 0.0b

Counts

69 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (log.f64 (exp.f64 (.f64 e (cos.f64 v))))))
0.1b	(*.f64 e (sin.f64 v))
0.1b	(*.f64 e (cos.f64 v))
3.9b	(log.f64 (exp.f64 (*.f64 e (cos.f64 v))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity_binary64`
15×	`add-sqr-sqrt_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`pow1_binary64` `add-cube-cbrt_binary64`
6×	`associate-r_binary64` `associate-l_binary64`
5×	`associate-/r*_binary64` `add-log-exp_binary64` `log-pow_binary64` `times-frac_binary64`
4×	`distribute-lft-out_binary64`
3×	`cbrt-unprod_binary64` `log-prod_binary64` `prod-exp_binary64`
2×	`pow-prod-down_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `div-exp_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `rem-log-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64` `exp-to-pow_binary64` `flip-+_binary64` `exp-prod_binary64`

Counts

4 → 77

Calls

4 calls:

8.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (log.f64 (exp.f64 (.f64 e (cos.f64 v))))))
4.0ms	(*.f64 e (sin.f64 v))
4.0ms	(*.f64 e (cos.f64 v))
3.0ms	(log.f64 (exp.f64 (*.f64 e (cos.f64 v))))

series40.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (log.f64 (exp.f64 (.f64 e (cos.f64 v))))))
6.0ms	(*.f64 e (sin.f64 v))
6.0ms	(*.f64 e (cos.f64 v))
7.0ms	(log.f64 (exp.f64 (*.f64 e (cos.f64 v))))

simplify86.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4954	709
1	4954	709

prune75.0ms

Filtered

59 candidates to 89 candidates (-50.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	89	6	95

Merged error: 0.0b

Counts

95 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(*.f64 e (cos.f64 v))
0.2b	(/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v))
0.3b	(/.f64 e (/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 117

Calls

3 calls:

4.0ms	(*.f64 e (cos.f64 v))
7.0ms	(/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v))
8.0ms	(/.f64 e (/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v)))

series41.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(*.f64 e (cos.f64 v))
16.0ms	(/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v))
18.0ms	(/.f64 e (/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v)))

simplify73.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4949	2009
1	4949	2009

prune130.0ms

Filtered

100 candidates to 126 candidates (-26.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	123	3	126
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	125	7	132

Merged error: 0b

Counts

132 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (sin.f64 v))) (+.f64 1 (*.f64 e (cos.f64 v))))
0.1b	(*.f64 e (cos.f64 v))
0.2b	(*.f64 (sqrt.f64 e) (sin.f64 v))
0.3b	(.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (sin.f64 v)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
19×	`add-sqr-sqrt_binary64`
15×	`associate-l_binary64`
13×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64`
8×	`cbrt-unprod_binary64` `prod-exp_binary64`
7×	`associate-r_binary64` `sqrt-prod_binary64`
5×	`pow-prod-down_binary64`
4×	`add-log-exp_binary64`
3×	`associate-/r_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `times-frac_binary64` `div-exp_binary64` `-commutative_binary64`
2×	`associate-/r/_binary64`
1×	`flip3-+_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip-+_binary64`

Counts

4 → 86

Calls

4 calls:

11.0ms	(/.f64 (.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (sin.f64 v))) (+.f64 1 (*.f64 e (cos.f64 v))))
4.0ms	(*.f64 e (cos.f64 v))
6.0ms	(*.f64 (sqrt.f64 e) (sin.f64 v))
7.0ms	(.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (sin.f64 v)))

series60.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/.f64 (.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (sin.f64 v))) (+.f64 1 (*.f64 e (cos.f64 v))))
6.0ms	(*.f64 e (cos.f64 v))
13.0ms	(*.f64 (sqrt.f64 e) (sin.f64 v))
10.0ms	(.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (sin.f64 v)))

simplify75.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4971	928
1	4971	928

prune75.0ms

Filtered

70 candidates to 98 candidates (-40.0%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	98	7	105

Merged error: 0b

Counts

105 → 7

regimes106.0ms

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	15	13
1	15	13

end0.0ms

sample1.9s

Algorithm

intervals

Results

729.0ms	1514×	body	1280	valid
365.0ms	1245×	body	640	valid
294.0ms	4356×	body	80	valid
146.0ms	8000×	pre	80	true
122.0ms	597×	body	320	valid
41.0ms	288×	body	160	valid

Details

analyze215.0ms

sample65.0ms

simplify447.0ms

prune4.0ms

localize12.0ms

rewrite20.0ms

series43.0ms

simplify56.0ms

prune83.0ms

localize12.0ms

rewrite21.0ms

series40.0ms

simplify86.0ms

prune75.0ms

localize9.0ms

rewrite24.0ms

series41.0ms

simplify73.0ms

prune130.0ms

localize14.0ms

rewrite30.0ms

series60.0ms

simplify75.0ms

prune75.0ms

regimes106.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.9s

Profiling