Details

analyze528.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
50%	50%	0%	5
50%	50%	0%	6
50%	50%	0%	7
50%	50%	0%	8
50%	50%	0%	9
50%	50%	0%	10
50%	50%	0%	11
50%	50%	0%	12
50%	50%	0%	13
50%	49.9%	0%	14

sample39.0ms

Algorithm

intervals

Results

14.0ms	53×	body	1280	valid
7.0ms	38×	body	640	valid
5.0ms	135×	body	80	valid
3.0ms	21×	body	320	valid
1.0ms	9×	body	160	valid

simplify696.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (169.0ms)

Iter	Nodes	Cost
0	5718	24

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: 0.3b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
0.1b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
0.2b	(*.f64 (tan.f64 x) (tan.f64 x))
0.2b	(*.f64 (tan.f64 x) (tan.f64 x))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary64`
27×	`*-un-lft-identity_binary64`
22×	`add-cube-cbrt_binary64`
18×	`pow1_binary64`
15×	`times-frac_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64`
8×	`tan-quot_binary64`
6×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `associate-l_binary64`
5×	`associate-/l*_binary64`
3×	`associate-/r*_binary64`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `associate-/r/_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow-sqr_binary64` `flip--_binary64` `frac-times_binary64` `pow2_binary64` `associate-l/_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`

Counts

4 → 109

Calls

4 calls:

3.0ms	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
7.0ms	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
5.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
7.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

series363.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
193.0ms	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
44.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
80.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

simplify95.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4921	1997
1	4921	1997

prune148.0ms

Filtered

83 candidates to 121 candidates (-45.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	112	9	121
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	113	9	122

Merged error: 0.0b

Counts

122 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (-.f64 1 (pow.f64 (tan.f64 x) 2)))
0.1b	(/.f64 1 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (-.f64 1 (pow.f64 (tan.f64 x) 2))))
0.2b	(pow.f64 (tan.f64 x) 2)
0.2b	(pow.f64 (tan.f64 x) 2)

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

402×	`times-frac_binary64`
397×	`*-un-lft-identity_binary64`
317×	`add-sqr-sqrt_binary64`
168×	`difference-of-squares_binary64`
149×	`add-cube-cbrt_binary64`
66×	`associate-/r*_binary64`
61×	`distribute-lft-out_binary64`
48×	`unpow-prod-down_binary64`
44×	`unpow2_binary64` `sqr-pow_binary64`
21×	`distribute-lft-out--_binary64`
19×	`add-exp-log_binary64`
11×	`add-cbrt-cube_binary64` `associate-/r/_binary64`
8×	`div-exp_binary64`
7×	`pow1_binary64` `associate-/l*_binary64`
6×	`pow-unpow_binary64` `div-inv_binary64`
5×	`flip3--_binary64` `flip--_binary64`
4×	`add-log-exp_binary64` `cbrt-undiv_binary64`
2×	`pow-to-exp_binary64` `associate-/l/_binary64` `1-exp_binary64` `pow-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64` `pow-exp_binary64`
1×	`flip3-+_binary64` `inv-pow_binary64` `pow-flip_binary64` `flip-+_binary64`

Counts

4 → 356

Calls

4 calls:

14.0ms	(/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (-.f64 1 (pow.f64 (tan.f64 x) 2)))
19.0ms	(/.f64 1 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (-.f64 1 (pow.f64 (tan.f64 x) 2))))
3.0ms	(pow.f64 (tan.f64 x) 2)
3.0ms	(pow.f64 (tan.f64 x) 2)

series505.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (-.f64 1 (pow.f64 (tan.f64 x) 2)))
206.0ms	(/.f64 1 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (-.f64 1 (pow.f64 (tan.f64 x) 2))))
49.0ms	(pow.f64 (tan.f64 x) 2)
56.0ms	(pow.f64 (tan.f64 x) 2)

simplify177.0ms

Algorithm

egg-herbie

Counts

368 → 368

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	5089	11254

prune264.0ms

Filtered

160 candidates to 368 candidates (-130.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	367	1	368
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	368	9	377

Merged error: 0.0b

Counts

377 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(+.f64 (tan.f64 x) 1)
0.1b	(/.f64 (.f64 (+.f64 (tan.f64 x) 1) (-.f64 1 (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
0.2b	(*.f64 (+.f64 (tan.f64 x) 1) (-.f64 1 (tan.f64 x)))
0.2b	(*.f64 (tan.f64 x) (tan.f64 x))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
13×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`add-cube-cbrt_binary64`
9×	`associate-r_binary64` `frac-times_binary64`
8×	`flip3-+_binary64` `associate-/l/_binary64` `flip-+_binary64`
7×	`associate-l_binary64`
6×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
5×	`associate-r/_binary64` `associate-l/_binary64`
4×	`tan-quot_binary64`
3×	`associate-/r*_binary64` `swap-sqr_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `times-frac_binary64`
2×	`pow-prod-down_binary64` `sub-neg_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `div-exp_binary64` `*-commutative_binary64`
1×	`pow-prod-up_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `pow-plus_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `pow-sqr_binary64` `+-commutative_binary64` `pow2_binary64` `sum-log_binary64`

Counts

4 → 103

Calls

4 calls:

4.0ms	(+.f64 (tan.f64 x) 1)
13.0ms	(/.f64 (.f64 (+.f64 (tan.f64 x) 1) (-.f64 1 (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
10.0ms	(*.f64 (+.f64 (tan.f64 x) 1) (-.f64 1 (tan.f64 x)))
8.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

series364.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+.f64 (tan.f64 x) 1)
214.0ms	(/.f64 (.f64 (+.f64 (tan.f64 x) 1) (-.f64 1 (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
74.0ms	(*.f64 (+.f64 (tan.f64 x) 1) (-.f64 1 (tan.f64 x)))
50.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

simplify81.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5655	2042

prune112.0ms

Filtered

83 candidates to 115 candidates (-38.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	115	9	124

Merged error: 0.0b

Counts

124 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (-.f64 1 (/.f64 (.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
0.1b	(*.f64 (tan.f64 x) (sin.f64 x))
0.2b	(/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))
0.2b	(*.f64 (tan.f64 x) (tan.f64 x))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt_binary64`
35×	`*-un-lft-identity_binary64`
23×	`add-cube-cbrt_binary64`
21×	`times-frac_binary64`
15×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`pow1_binary64`
8×	`difference-of-squares_binary64`
7×	`associate-/l*_binary64`
6×	`associate-/r_binary64` `associate-r_binary64` `associate-l*_binary64` `tan-quot_binary64`
4×	`add-log-exp_binary64` `distribute-lft-out--_binary64`
3×	`associate-/l/_binary64` `swap-sqr_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64` `associate-*l/_binary64`
2×	`pow-prod-down_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `flip3--_binary64` `pow-prod-up_binary64` `associate-*r/_binary64` `pow-plus_binary64` `div-sub_binary64` `pow-sqr_binary64` `flip--_binary64` `flip-+_binary64` `frac-times_binary64` `pow2_binary64`

Counts

4 → 113

Calls

4 calls:

10.0ms	(/.f64 (-.f64 1 (/.f64 (.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
5.0ms	(*.f64 (tan.f64 x) (sin.f64 x))
6.0ms	(/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))
5.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

series398.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(/.f64 (-.f64 1 (/.f64 (.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
45.0ms	(*.f64 (tan.f64 x) (sin.f64 x))
77.0ms	(/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))
49.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

simplify101.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4948	2925
1	4948	2925

prune91.0ms

Filtered

85 candidates to 125 candidates (-47.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	125	9	134

Merged error: 0.0b

Counts

134 → 9

regimes50.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	23
1	22	23

end0.0ms

sample997.0ms

Algorithm

intervals

Results

388.0ms	1506×	body	1280	valid
212.0ms	1258×	body	640	valid
171.0ms	4369×	body	80	valid
69.0ms	577×	body	320	valid
24.0ms	290×	body	160	valid

Details

analyze528.0ms

sample39.0ms

simplify696.0ms

prune3.0ms

localize9.0ms

rewrite27.0ms

series363.0ms

simplify95.0ms

prune148.0ms

localize11.0ms

rewrite63.0ms

series505.0ms

simplify177.0ms

prune264.0ms

localize10.0ms

rewrite38.0ms

series364.0ms

simplify81.0ms

prune112.0ms

localize14.0ms

rewrite29.0ms

series398.0ms

simplify101.0ms

prune91.0ms

regimes50.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample997.0ms

Profiling