Details

analyze6.0ms

Algorithm

Search

True	Other	False	Iter
0%	49.7%	50.3%	0
0%	49.7%	50.3%	1
0%	49.7%	50.3%	2
24.8%	24.8%	50.3%	3
37.3%	12.4%	50.3%	4
43.5%	6.2%	50.3%	5
46.6%	3.1%	50.3%	6
48.1%	1.6%	50.3%	7
48.9%	0.8%	50.3%	8
49.3%	0.4%	50.3%	9
49.5%	0.2%	50.3%	10
49.6%	0.1%	50.3%	11
49.6%	0%	50.3%	12
49.7%	0%	50.3%	13
49.7%	0%	50.3%	14

sample225.0ms

Algorithm

intervals

Results

157.0ms	102×	body	2560	valid
47.0ms	85×	body	1280	valid
7.0ms	40×	body	640	valid
4.0ms	256×	pre	80	true
2.0ms	18×	body	320	valid
1.0ms	9×	body	160	valid
0.0ms	2×	body	80	valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	71	8
1	71	8

prune1.0ms

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: 59.9b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

2.6b	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64`
18×	`times-frac_binary64`
9×	`difference-of-squares_binary64`
7×	`distribute-lft-out--_binary64`
4×	`div-inv_binary64`
3×	`add-log-exp_binary64` `add-cube-cbrt_binary64`
1×	`sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip--_binary64` `frac-sub_binary64`

Counts

1 → 28

Calls

1 calls:

14.0ms

(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

simplify88.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4917	416
1	4917	416

prune24.0ms

Filtered

20 candidates to 31 candidates (-55.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	31	1	32

Merged error: 0.4b

Counts

32 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 1/45 (pow.f64 x 3)) (+.f64 (.f64 2/945 (pow.f64 x 5)) (*.f64 x 1/3)))
0.1b	(*.f64 2/945 (pow.f64 x 5))
0.1b	(*.f64 1/45 (pow.f64 x 3))
0.4b	(*.f64 x 1/3)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64`
22×	`associate-r_binary64`
16×	`add-exp-log_binary64`
13×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`add-cbrt-cube_binary64`
9×	`add-log-exp_binary64` `associate-l_binary64`
8×	`unswap-sqr_binary64` `unpow-prod-down_binary64`
7×	`prod-exp_binary64`
6×	`pow1_binary64`
4×	`sqr-pow_binary64` `cube-prod_binary64`
3×	`cbrt-unprod_binary64` `sum-log_binary64` `*-commutative_binary64`
2×	`pow-to-exp_binary64` `pow-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-+r+_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 87

Calls

4 calls:

9.0ms	(+.f64 (.f64 1/45 (pow.f64 x 3)) (+.f64 (.f64 2/945 (pow.f64 x 5)) (*.f64 x 1/3)))
6.0ms	(*.f64 2/945 (pow.f64 x 5))
6.0ms	(*.f64 1/45 (pow.f64 x 3))
4.0ms	(*.f64 x 1/3)

series18.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+.f64 (.f64 1/45 (pow.f64 x 3)) (+.f64 (.f64 2/945 (pow.f64 x 5)) (*.f64 x 1/3)))
5.0ms	(*.f64 2/945 (pow.f64 x 5))
4.0ms	(*.f64 1/45 (pow.f64 x 3))
2.0ms	(*.f64 x 1/3)

simplify50.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5108	791

prune72.0ms

Filtered

64 candidates to 99 candidates (-54.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	92	7	99
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	92	8	100

Merged error: 0.2b

Counts

100 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(.f64 (cbrt.f64 (.f64 x 1/3)) (cbrt.f64 (*.f64 x 1/3)))
0.6b	(cbrt.f64 (*.f64 x 1/3))
0.6b	(cbrt.f64 (*.f64 x 1/3))
0.6b	(cbrt.f64 (*.f64 x 1/3))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`pow1/3_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 58

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 x 1/3)) (cbrt.f64 (*.f64 x 1/3)))
2.0ms	(cbrt.f64 (*.f64 x 1/3))
2.0ms	(cbrt.f64 (*.f64 x 1/3))
2.0ms	(cbrt.f64 (*.f64 x 1/3))

series78.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(.f64 (cbrt.f64 (.f64 x 1/3)) (cbrt.f64 (*.f64 x 1/3)))
17.0ms	(cbrt.f64 (*.f64 x 1/3))
20.0ms	(cbrt.f64 (*.f64 x 1/3))
18.0ms	(cbrt.f64 (*.f64 x 1/3))

simplify38.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4870	359
1	4870	359

prune73.0ms

Filtered

48 candidates to 70 candidates (-45.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	67	3	70
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	67	11	78

Merged error: 0.2b

Counts

78 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.7b	(cbrt.f64 x)
0.7b	(cbrt.f64 x)
0.7b	(cbrt.f64 x)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series61.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
16.0ms	(cbrt.f64 x)
14.0ms	(cbrt.f64 x)
14.0ms	(cbrt.f64 x)

simplify44.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4940	374
1	4940	374

prune57.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	80	5	85
Fresh	2	6	8
Picked	0	1	1
Done	0	2	2
Total	82	14	96

Merged error: 0.1b

Counts

96 → 14

regimes44.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	15
1	18	15

end0.0ms

sample7.5s

Algorithm

intervals

Results

5.6s	3277×	body	2560	valid
1.3s	2478×	body	1280	valid
239.0ms	1297×	body	640	valid
126.0ms	8000×	pre	80	true
75.0ms	621×	body	320	valid
23.0ms	285×	body	160	valid
2.0ms	42×	body	80	valid

Details

analyze6.0ms

sample225.0ms

simplify8.0ms

prune1.0ms

localize5.0ms

rewrite16.0ms

series16.0ms

simplify88.0ms

prune24.0ms

localize10.0ms

rewrite27.0ms

series18.0ms

simplify50.0ms

prune72.0ms

localize14.0ms

rewrite14.0ms

series78.0ms

simplify38.0ms

prune73.0ms

localize13.0ms

rewrite12.0ms

series61.0ms

simplify44.0ms

prune57.0ms

regimes44.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample7.5s

Profiling