Details

analyze873.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
14%	83.4%	2.5%	11
18.7%	78.2%	3.1%	12
28.1%	65.5%	6.4%	13
30.7%	59.4%	9.9%	14

sample33.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
8.0ms	196×	body	80	invalid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	48	15
1	48	15

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: 34.7b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
20.5b	(/.f64 (.f64 z z) (.f64 t t))
22.3b	(/.f64 (.f64 x x) (.f64 y y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64`
5×	`*-un-lft-identity_binary64` `add-log-exp_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
2×	`associate-/r_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `frac-add_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 55

Calls

3 calls:

13.0ms	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
6.0ms	(/.f64 (.f64 z z) (.f64 t t))
6.0ms	(/.f64 (.f64 x x) (.f64 y y))

series42.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
6.0ms	(/.f64 (.f64 z z) (.f64 t t))
7.0ms	(/.f64 (.f64 x x) (.f64 y y))

simplify49.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4972	598
1	4972	598

prune80.0ms

Filtered

37 candidates to 64 candidates (-73.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	56	8	64
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	8	65

Merged error: 3.5b

Counts

65 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (.f64 z z) (*.f64 t t)))
0.3b	(*.f64 (/.f64 x y) (/.f64 x y))
20.5b	(/.f64 (.f64 z z) (.f64 t t))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt_binary64`
41×	`times-frac_binary64`
31×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
27×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`swap-sqr_binary64` `associate-r_binary64` `associate-l_binary64`
10×	`pow1_binary64`
8×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64`
5×	`add-log-exp_binary64` `div-inv_binary64`
4×	`unswap-sqr_binary64`
3×	`frac-add_binary64`
2×	`associate-r/_binary64` `frac-times_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-/r_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `pow-sqr_binary64` `+-commutative_binary64` `flip-+_binary64` `pow2_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

3 → 102

Calls

3 calls:

9.0ms	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (.f64 z z) (*.f64 t t)))
10.0ms	(*.f64 (/.f64 x y) (/.f64 x y))
6.0ms	(/.f64 (.f64 z z) (.f64 t t))

series42.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (.f64 z z) (*.f64 t t)))
6.0ms	(*.f64 (/.f64 x y) (/.f64 x y))
6.0ms	(/.f64 (.f64 z z) (.f64 t t))

simplify45.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5249	970

prune133.0ms

Filtered

70 candidates to 111 candidates (-58.6%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	99	12	111
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	103	16	119

Merged error: 0.1b

Counts

119 → 16

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 (/.f64 z t) (/.f64 z t)))
0.3b	(*.f64 (/.f64 x y) (/.f64 x y))
0.4b	(*.f64 (/.f64 z t) (/.f64 z t))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

83×	`add-sqr-sqrt_binary64`
80×	`times-frac_binary64`
59×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
27×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
26×	`swap-sqr_binary64` `associate-r_binary64` `associate-l_binary64`
17×	`pow1_binary64`
9×	`frac-add_binary64`
8×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `frac-times_binary64` `associate-l/_binary64`
5×	`add-log-exp_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `pow-sqr_binary64` `pow2_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 154

Calls

3 calls:

10.0ms	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 (/.f64 z t) (/.f64 z t)))
10.0ms	(*.f64 (/.f64 x y) (/.f64 x y))
10.0ms	(*.f64 (/.f64 z t) (/.f64 z t))

series42.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 (/.f64 z t) (/.f64 z t)))
6.0ms	(*.f64 (/.f64 x y) (/.f64 x y))
7.0ms	(*.f64 (/.f64 z t) (/.f64 z t))

simplify52.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4990	1511
1	4990	1511

prune170.0ms

Filtered

102 candidates to 163 candidates (-59.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	154	9	163
Fresh	10	5	15
Picked	1	0	1
Done	0	0	0
Total	165	14	179

Merged error: 0.0b

Counts

179 → 14

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 (/.f64 1 t) (*.f64 z (/.f64 z t))))
0.2b	(*.f64 z (/.f64 z t))
0.3b	(*.f64 (/.f64 x y) (/.f64 x y))
4.6b	(.f64 (/.f64 1 t) (.f64 z (/.f64 z t)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt_binary64`
60×	`add-exp-log_binary64`
59×	`times-frac_binary64`
47×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
42×	`add-cbrt-cube_binary64`
29×	`associate-l_binary64`
27×	`associate-r_binary64`
26×	`prod-exp_binary64`
18×	`pow1_binary64`
17×	`associate-*r/_binary64`
16×	`cbrt-unprod_binary64`
15×	`div-exp_binary64`
13×	`swap-sqr_binary64`
10×	`cbrt-undiv_binary64`
9×	`frac-add_binary64`
8×	`frac-times_binary64` `associate-*l/_binary64`
6×	`add-log-exp_binary64` `unswap-sqr_binary64` `div-inv_binary64`
5×	`pow-prod-down_binary64`
3×	`1-exp_binary64` `rec-exp_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `pow-sqr_binary64` `+-commutative_binary64` `flip-+_binary64` `pow2_binary64` `sum-log_binary64`

Counts

4 → 164

Calls

4 calls:

9.0ms	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 (/.f64 1 t) (*.f64 z (/.f64 z t))))
7.0ms	(*.f64 z (/.f64 z t))
11.0ms	(*.f64 (/.f64 x y) (/.f64 x y))
9.0ms	(.f64 (/.f64 1 t) (.f64 z (/.f64 z t)))

series47.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 (/.f64 1 t) (*.f64 z (/.f64 z t))))
4.0ms	(*.f64 z (/.f64 z t))
6.0ms	(*.f64 (/.f64 x y) (/.f64 x y))
8.0ms	(.f64 (/.f64 1 t) (.f64 z (/.f64 z t)))

simplify41.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5132	1508

prune107.0ms

Filtered

107 candidates to 176 candidates (-64.5%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	13	13
Picked	0	1	1
Done	0	0	0
Total	176	14	190

Merged error: 0.0b

Counts

190 → 14

regimes1.2s

Accuracy

68.5% (1.2b remaining)

Error of 1.3b against oracle of 0.1b and baseline of 4.0b

bsearch142.0ms

Steps

Iters	Range	Point
11	-9.419605850327734e-291	9.676208677109406e-301	3.849433641532173e-306
9	-1.657693800524803e-133	-3.5235815389146857e-140	-4.396223194186806e-140
9	-3.2923207499610326e+156	-2.844450547059883e+147	-1.342217695911771e+154

Iters

Range

Point

-9.419605850327734e-291

9.676208677109406e-301

3.849433641532173e-306

-1.657693800524803e-133

-3.5235815389146857e-140

-4.396223194186806e-140

-3.2923207499610326e+156

-2.844450547059883e+147

-1.342217695911771e+154

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	80
1	38	80

end0.0ms

sample963.0ms

Algorithm

intervals

Results

352.0ms	8000×	body	80	valid
264.0ms	6037×	body	80	invalid

Details

analyze873.0ms

sample33.0ms

simplify6.0ms

prune3.0ms

localize10.0ms

rewrite27.0ms

series42.0ms

simplify49.0ms

prune80.0ms

localize9.0ms

rewrite29.0ms

series42.0ms

simplify45.0ms

prune133.0ms

localize8.0ms

rewrite37.0ms

series42.0ms

simplify52.0ms

prune170.0ms

localize10.0ms

rewrite43.0ms

series47.0ms

simplify41.0ms

prune107.0ms

regimes1.2s

bsearch142.0ms

simplify2.0ms

end0.0ms

sample963.0ms

Profiling