Details

analyze931.0ms

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
2.3%	97.4%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
33.2%	66.5%	0.2%	14

sample37.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
1.0ms	40×	body	80	invalid

simplify358.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (349.0ms)

Iter	Nodes	Cost
0	4887	16
1	4887	16

prune8.0ms

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: 10.3b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_2485` `*-un-lft-identity_binary64_2500`
10×	`add-exp-log_binary64_2464` `add-cbrt-cube_binary64_2472`
7×	`add-cube-cbrt_binary64_2471`
5×	`pow1_binary64_2446` `add-log-exp_binary64_2465` `times-frac_binary64_2495` `associate-/r_binary64_2563` `associate-r*_binary64_2559`
4×	`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` `sub-neg_binary64_2504` `cbrt-undiv_binary64_2470` `prod-exp_binary64_2451` `cbrt-unprod_binary64_2469`
1×	`flip3-+_binary64_2498` `distribute-rgt-in_binary64_2543` `+-commutative_binary64_2567` `frac-2neg_binary64_2493` `distribute-lft-in_binary64_2542` `div-inv_binary64_2501` `associate-/l_binary64_2564` `sum-log_binary64_2415` `pow-prod-down_binary64_2427` `unswap-sqr_binary64_2528` `-commutative_binary64_2568` `clear-num_binary64_2503` `flip-+_binary64_2525` `distribute-lft-out_binary64_2544`

Counts

3 → 65

Calls

3 calls:

6.0ms	(*.f64 y (-.f64 z t))
8.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))
9.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))

series206.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(*.f64 y (-.f64 z t))
102.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))
70.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))

simplify67.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5079	1037

prune252.0ms

Filtered

53 candidates to 74 candidates (-39.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	69	5	74
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	5	75

Merged error: 0.0b

Counts

75 → 5

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))))
0.0b	(/.f64 (-.f64 z a) (-.f64 z t))
1.1b	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac_binary64_2495`
197×	`*-un-lft-identity_binary64_2500`
195×	`add-sqr-sqrt_binary64_2485`
91×	`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`
10×	`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`
5×	`add-log-exp_binary64_2465`
4×	`div-exp_binary64_2453` `cbrt-undiv_binary64_2470`
3×	`pow1_binary64_2446`
2×	`associate-/l/_binary64_2566` `frac-2neg_binary64_2493` `clear-num_binary64_2503`
1×	`flip3-+_binary64_2498` `div-sub_binary64_2494` `+-commutative_binary64_2567` `sum-log_binary64_2415` `flip-+_binary64_2525` `distribute-lft-out_binary64_2544`

Counts

3 → 206

Calls

3 calls:

26.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))))
8.0ms	(/.f64 (-.f64 z a) (-.f64 z t))
13.0ms	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))

series253.0ms

Counts

3 → 9

Calls

3 calls:

107.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))))
32.0ms	(/.f64 (-.f64 z a) (-.f64 z t))
113.0ms	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))

simplify104.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5003	5201

prune592.0ms

Filtered

147 candidates to 215 candidates (-46.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	213	2	215
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	216	4	220

Merged error: 0b

Counts

220 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 1 (/.f64 (/.f64 (-.f64 z a) (-.f64 z t)) y)))
0.0b	(/.f64 (-.f64 z a) (-.f64 z t))
0.5b	(/.f64 1 (/.f64 (/.f64 (-.f64 z a) (-.f64 z t)) y))
1.1b	(/.f64 (/.f64 (-.f64 z a) (-.f64 z t)) y)

rewrite185.0ms

Algorithm

rewrite-expression-head

Rules

1181×	`times-frac_binary64_2495`
797×	`*-un-lft-identity_binary64_2500`
794×	`add-sqr-sqrt_binary64_2485`
450×	`add-cube-cbrt_binary64_2471`
172×	`distribute-lft-out--_binary64_2545` `difference-of-squares_binary64_2529`
105×	`associate-/r*_binary64_2563`
39×	`associate-/l*_binary64_2564`
35×	`associate-/r/_binary64_2565`
26×	`add-exp-log_binary64_2464`
24×	`div-inv_binary64_2501`
20×	`add-cbrt-cube_binary64_2472`
18×	`flip--_binary64_2526` `flip3--_binary64_2499`
13×	`div-exp_binary64_2453`
10×	`cbrt-undiv_binary64_2470`
6×	`add-log-exp_binary64_2465`
5×	`pow1_binary64_2446`
3×	`associate-/l/_binary64_2566` `div-sub_binary64_2494` `frac-2neg_binary64_2493` `rec-exp_binary64_2452` `clear-num_binary64_2503`
2×	`distribute-lft-out_binary64_2544`
1×	`flip3-+_binary64_2498` `inv-pow_binary64_2422` `+-commutative_binary64_2567` `pow-flip_binary64_2430` `sum-log_binary64_2415` `flip-+_binary64_2525`

Counts

4 → 621

Calls

4 calls:

76.0ms	(+.f64 x (/.f64 1 (/.f64 (/.f64 (-.f64 z a) (-.f64 z t)) y)))
8.0ms	(/.f64 (-.f64 z a) (-.f64 z t))
25.0ms	(/.f64 1 (/.f64 (/.f64 (-.f64 z a) (-.f64 z t)) y))
13.0ms	(/.f64 (/.f64 (-.f64 z a) (-.f64 z t)) y)

series410.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(+.f64 x (/.f64 1 (/.f64 (/.f64 (-.f64 z a) (-.f64 z t)) y)))
31.0ms	(/.f64 (-.f64 z a) (-.f64 z t))
178.0ms	(/.f64 1 (/.f64 (/.f64 (-.f64 z a) (-.f64 z t)) y))
103.0ms	(/.f64 (/.f64 (-.f64 z a) (-.f64 z t)) y)

simplify213.0ms

Algorithm

egg-herbie

Counts

633 → 633

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5003	18929

prune1.5s

Filtered

357 candidates to 633 candidates (-77.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	633	0	633
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	633	4	637

Merged error: 0b

Counts

637 → 4

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
0.0b	(/.f64 (-.f64 z t) (-.f64 z a))
0.9b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt_binary64_2485`
71×	`*-un-lft-identity_binary64_2500`
51×	`times-frac_binary64_2495`
31×	`associate-r_binary64_2559`
27×	`add-cube-cbrt_binary64_2471`
22×	`distribute-lft-out--_binary64_2545` `difference-of-squares_binary64_2529`
10×	`add-exp-log_binary64_2464` `add-cbrt-cube_binary64_2472`
5×	`pow1_binary64_2446` `add-log-exp_binary64_2465` `associate-/l_binary64_2564` `associate-/r_binary64_2563`
4×	`associate-/r/_binary64_2565`
3×	`associate-l_binary64_2560` `flip--_binary64_2526` `flip3--_binary64_2499`
2×	`associate-/l/_binary64_2566` `div-exp_binary64_2453` `div-inv_binary64_2501` `cbrt-undiv_binary64_2470` `prod-exp_binary64_2451` `unswap-sqr_binary64_2528` `cbrt-unprod_binary64_2469`
1×	`flip3-+_binary64_2498` `div-sub_binary64_2494` `+-commutative_binary64_2567` `frac-2neg_binary64_2493` `sum-log_binary64_2415` `pow-prod-down_binary64_2427` `-commutative_binary64_2568` `clear-num_binary64_2503` `flip-+_binary64_2525` `associate-r/_binary64_2561`

Counts

3 → 113

Calls

3 calls:

4.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
8.0ms	(/.f64 (-.f64 z t) (-.f64 z a))
14.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

series215.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
32.0ms	(/.f64 (-.f64 z t) (-.f64 z a))
75.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

simplify93.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5026	2072

prune329.0ms

Filtered

83 candidates to 122 candidates (-47.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	122	4	126

Merged error: 0b

Counts

126 → 4

regimes474.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	19
1	32	19

end0.0ms

sample699.0ms

Algorithm

intervals

Results

309.0ms	8000×	body	80	valid
27.0ms	753×	body	80	invalid

Details

analyze931.0ms

sample37.0ms

simplify358.0ms

prune8.0ms

localize12.0ms

rewrite25.0ms

series206.0ms

simplify67.0ms

prune252.0ms

localize17.0ms

rewrite59.0ms

series253.0ms

simplify104.0ms

prune592.0ms

localize16.0ms

rewrite185.0ms

series410.0ms

simplify213.0ms

prune1.5s

localize13.0ms

rewrite31.0ms

series215.0ms

simplify93.0ms

prune329.0ms

regimes474.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample699.0ms

Profiling