Details

analyze543.0ms

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
7%	92.8%	0.2%	8
19.1%	80.7%	0.2%	9
29.8%	70%	0.2%	10
31.3%	68.5%	0.2%	11
42.3%	57.2%	0.6%	12
53.3%	45.5%	1.2%	13
59.2%	39.3%	1.5%	14

sample38.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
1.0ms	11×	body	80	invalid

simplify100.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	5182	13

prune7.0ms

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: 11.0b

Counts

2 → 1

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (-.f64 y z))
10.4b	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_2485`
12×	`*-un-lft-identity_binary64_2500`
9×	`add-exp-log_binary64_2464` `add-cbrt-cube_binary64_2472`
6×	`add-cube-cbrt_binary64_2471`
5×	`times-frac_binary64_2495` `associate-/r_binary64_2563` `associate-r*_binary64_2559`
4×	`pow1_binary64_2446` `associate-*r/_binary64_2561`
3×	`associate-l_binary64_2560` `distribute-lft-out--_binary64_2545` `difference-of-squares_binary64_2529` `flip--_binary64_2526` `flip3--_binary64_2499`
2×	`associate-/l/_binary64_2566` `associate-/r/_binary64_2565` `div-exp_binary64_2453` `add-log-exp_binary64_2465` `sub-neg_binary64_2504` `cbrt-undiv_binary64_2470` `prod-exp_binary64_2451` `cbrt-unprod_binary64_2469`
1×	`distribute-rgt-in_binary64_2543` `frac-2neg_binary64_2493` `distribute-lft-in_binary64_2542` `div-inv_binary64_2501` `associate-/l_binary64_2564` `pow-prod-down_binary64_2427` `unswap-sqr_binary64_2528` `-commutative_binary64_2568` `clear-num_binary64_2503`

Counts

2 → 53

Calls

2 calls:

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

series102.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(*.f64 x (-.f64 y z))
73.0ms	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))

simplify65.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5074	720

prune214.0ms

Filtered

40 candidates to 59 candidates (-47.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	52	7	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	8	60

Merged error: 0.0b

Counts

60 → 8

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 y z) (-.f64 t z))
1.7b	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64_2485`
70×	`*-un-lft-identity_binary64_2500`
51×	`times-frac_binary64_2495`
31×	`associate-r_binary64_2559`
26×	`add-cube-cbrt_binary64_2471`
22×	`distribute-lft-out--_binary64_2545` `difference-of-squares_binary64_2529`
9×	`add-exp-log_binary64_2464` `add-cbrt-cube_binary64_2472`
5×	`associate-/l_binary64_2564` `associate-/r_binary64_2563`
4×	`associate-/r/_binary64_2565` `pow1_binary64_2446`
3×	`associate-l_binary64_2560` `flip--_binary64_2526` `flip3--_binary64_2499`
2×	`associate-/l/_binary64_2566` `div-exp_binary64_2453` `add-log-exp_binary64_2465` `div-inv_binary64_2501` `cbrt-undiv_binary64_2470` `prod-exp_binary64_2451` `unswap-sqr_binary64_2528` `cbrt-unprod_binary64_2469`
1×	`div-sub_binary64_2494` `frac-2neg_binary64_2493` `pow-prod-down_binary64_2427` `-commutative_binary64_2568` `clear-num_binary64_2503` `associate-r/_binary64_2561`

Counts

2 → 102

Calls

2 calls:

9.0ms	(/.f64 (-.f64 y z) (-.f64 t z))
20.0ms	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))

series117.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/.f64 (-.f64 y z) (-.f64 t z))
79.0ms	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))

simplify83.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5074	1767

prune328.0ms

Filtered

70 candidates to 108 candidates (-54.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	106	2	108
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	107	9	116

Merged error: 0b

Counts

116 → 9

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 t z) (-.f64 y z))
1.7b	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac_binary64_2495`
194×	`add-sqr-sqrt_binary64_2485` `*-un-lft-identity_binary64_2500`
90×	`add-cube-cbrt_binary64_2471`
52×	`distribute-lft-out--_binary64_2545` `difference-of-squares_binary64_2529`
36×	`associate-/r*_binary64_2563`
11×	`associate-/r/_binary64_2565`
9×	`add-exp-log_binary64_2464` `add-cbrt-cube_binary64_2472`
8×	`associate-/l*_binary64_2564`
6×	`div-inv_binary64_2501` `flip--_binary64_2526` `flip3--_binary64_2499`
4×	`div-exp_binary64_2453` `cbrt-undiv_binary64_2470`
2×	`associate-/l/_binary64_2566` `pow1_binary64_2446` `frac-2neg_binary64_2493` `add-log-exp_binary64_2465` `clear-num_binary64_2503`
1×	`div-sub_binary64_2494`

Counts

2 → 194

Calls

2 calls:

8.0ms	(/.f64 (-.f64 t z) (-.f64 y z))
12.0ms	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))

series170.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/.f64 (-.f64 t z) (-.f64 y z))
132.0ms	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))

simplify96.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5038	4896

prune741.0ms

Filtered

134 candidates to 200 candidates (-49.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	199	1	200
Fresh	2	4	6
Picked	0	1	1
Done	0	2	2
Total	201	8	209

Merged error: 0b

Counts

209 → 8

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 t z) (-.f64 y z))
0.2b	(/.f64 1 (/.f64 (-.f64 t z) (-.f64 y z)))
1.7b	(*.f64 x (/.f64 1 (/.f64 (-.f64 t z) (-.f64 y z))))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac_binary64_2495`
335×	`add-sqr-sqrt_binary64_2485`
323×	`*-un-lft-identity_binary64_2500`
157×	`add-cube-cbrt_binary64_2471`
98×	`associate-r_binary64_2559`
82×	`distribute-lft-out--_binary64_2545` `difference-of-squares_binary64_2529`
36×	`associate-/r*_binary64_2563`
27×	`add-exp-log_binary64_2464`
19×	`add-cbrt-cube_binary64_2472`
18×	`associate-/r/_binary64_2565`
10×	`div-inv_binary64_2501`
9×	`div-exp_binary64_2453` `flip--_binary64_2526` `flip3--_binary64_2499`
8×	`associate-/l*_binary64_2564`
7×	`cbrt-undiv_binary64_2470`
6×	`pow1_binary64_2446`
5×	`prod-exp_binary64_2451` `unswap-sqr_binary64_2528`
4×	`rec-exp_binary64_2452`
3×	`associate-l_binary64_2560` `add-log-exp_binary64_2465` `cbrt-unprod_binary64_2469`
2×	`associate-/l/_binary64_2566` `frac-2neg_binary64_2493` `clear-num_binary64_2503`
1×	`div-sub_binary64_2494` `inv-pow_binary64_2422` `pow-flip_binary64_2430` `pow-prod-down_binary64_2427` `un-div-inv_binary64_2502` `-commutative_binary64_2568` `associate-r/_binary64_2561`

Counts

3 → 323

Calls

3 calls:

9.0ms	(/.f64 (-.f64 t z) (-.f64 y z))
12.0ms	(/.f64 1 (/.f64 (-.f64 t z) (-.f64 y z)))
37.0ms	(*.f64 x (/.f64 1 (/.f64 (-.f64 t z) (-.f64 y z))))

series279.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/.f64 (-.f64 t z) (-.f64 y z))
88.0ms	(/.f64 1 (/.f64 (-.f64 t z) (-.f64 y z)))
146.0ms	(*.f64 x (/.f64 1 (/.f64 (-.f64 t z) (-.f64 y z))))

simplify96.0ms

Algorithm

egg-herbie

Counts

332 → 332

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5465	6771

prune701.0ms

Filtered

192 candidates to 332 candidates (-72.9%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	332	0	332
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	332	8	340

Merged error: 0b

Counts

340 → 8

regimes568.0ms

Accuracy

0.9% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch50.0ms

Steps

Iters	Range	Point
6	3243611868882277/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152	8605411904641861/3432398830065304857490950399540696608634717650071652704697231729592771591698828026061279820330727277488648155695740429018560993999858321906287014145557528576	1.1879064539926738e-141
10	-360367741566991/2175541218577478036232553294038911497542013410209922757424923190068852981190050786259609609278379154099770693575665668158859588967025488852621393833027941793561932885341770625153958412288	-658213654037075/18687756769780511615554238896948393266762663965690101475652372553315431084886742575128218875155953253493318900013442692344580934538753794040842900765582189315080170186179645235539452691442089066496	-3.2536737955449917e-177

Iters

Range

Point

3243611868882277/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152

8605411904641861/3432398830065304857490950399540696608634717650071652704697231729592771591698828026061279820330727277488648155695740429018560993999858321906287014145557528576

1.1879064539926738e-141

-360367741566991/2175541218577478036232553294038911497542013410209922757424923190068852981190050786259609609278379154099770693575665668158859588967025488852621393833027941793561932885341770625153958412288

-658213654037075/18687756769780511615554238896948393266762663965690101475652372553315431084886742575128218875155953253493318900013442692344580934538753794040842900765582189315080170186179645235539452691442089066496

-3.2536737955449917e-177

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	51
1	34	51

end0.0ms

sample541.0ms

Algorithm

intervals

Results

243.0ms	8000×	body	80	valid
19.0ms	648×	body	80	invalid

Details

analyze543.0ms

sample38.0ms

simplify100.0ms

prune7.0ms

localize16.0ms

rewrite17.0ms

series102.0ms

simplify65.0ms

prune214.0ms

localize10.0ms

rewrite35.0ms

series117.0ms

simplify83.0ms

prune328.0ms

localize10.0ms

rewrite31.0ms

series170.0ms

simplify96.0ms

prune741.0ms

localize13.0ms

rewrite80.0ms

series279.0ms

simplify96.0ms

prune701.0ms

regimes568.0ms

bsearch50.0ms

simplify3.0ms

end0.0ms

sample541.0ms

Profiling