Details

analyze968.0ms

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
0%	99.8%	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
26.2%	73.5%	0.2%	14

sample44.0ms

Algorithm

intervals

Results

17.0ms	256×	body	80	valid
1.0ms	23×	body	80	invalid

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4909	16
1	4909	16

prune9.0ms

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: 1.8b

Counts

2 → 1

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 z t) (-.f64 a t))
2.7b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

rewrite28.0ms

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 z t) (-.f64 a t))
14.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

series128.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/.f64 (-.f64 z t) (-.f64 a t))
82.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

simplify83.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5074	1767

prune344.0ms

Filtered

71 candidates to 108 candidates (-52.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	102	6	108
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	102	7	109

Merged error: 0b

Counts

109 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

2.7b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
5.8b	(cbrt.f64 (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
5.8b	(cbrt.f64 (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
5.8b	(cbrt.f64 (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt_binary64_2485`
36×	`*-un-lft-identity_binary64_2500`
31×	`associate-r_binary64_2559`
26×	`times-frac_binary64_2495`
16×	`add-cube-cbrt_binary64_2471`
10×	`distribute-lft-out--_binary64_2545` `difference-of-squares_binary64_2529`
9×	`add-exp-log_binary64_2464` `add-cbrt-cube_binary64_2472`
6×	`pow1_binary64_2446`
4×	`add-log-exp_binary64_2465` `associate-*r/_binary64_2561`
3×	`associate-l_binary64_2560` `pow1/3_binary64_2438` `cbrt-prod_binary64_2467` `cbrt-div_binary64_2468`
2×	`associate-/r/_binary64_2565` `prod-exp_binary64_2451` `unswap-sqr_binary64_2528` `cbrt-unprod_binary64_2469`
1×	`div-exp_binary64_2453` `div-inv_binary64_2501` `cbrt-undiv_binary64_2470` `pow-prod-down_binary64_2427` `*-commutative_binary64_2568` `flip--_binary64_2526` `flip3--_binary64_2499`

Counts

4 → 80

Calls

4 calls:

14.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
8.0ms	(cbrt.f64 (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
9.0ms	(cbrt.f64 (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
9.0ms	(cbrt.f64 (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))

series848.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
258.0ms	(cbrt.f64 (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
257.0ms	(cbrt.f64 (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
260.0ms	(cbrt.f64 (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))

simplify90.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5559	1504

prune341.0ms

Filtered

70 candidates to 92 candidates (-31.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	92	7	99

Merged error: 0b

Counts

99 → 7

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 y (-.f64 z t))
11.0b	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))

rewrite18.0ms

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:

7.0ms	(*.f64 y (-.f64 z t))
9.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))

series117.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(*.f64 y (-.f64 z t))
84.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))

simplify60.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5074	720

prune188.0ms

Filtered

38 candidates to 59 candidates (-55.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	57	2	59
Fresh	2	2	4
Picked	0	1	1
Done	2	0	2
Total	61	5	66

Merged error: 0b

Counts

66 → 5

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 a t) (-.f64 z t))
2.5b	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))

rewrite32.0ms

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 a t) (-.f64 z t))
12.0ms	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))

series180.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(/.f64 (-.f64 a t) (-.f64 z t))
138.0ms	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))

simplify114.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5036	4896

prune724.0ms

Filtered

135 candidates to 200 candidates (-48.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	200	0	200
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	200	5	205

Merged error: 0b

Counts

205 → 5

regimes859.0ms

Accuracy

26.4% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 1.1b

bsearch1.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	47
1	34	47

end0.0ms

sample710.0ms

Algorithm

intervals

Results

308.0ms	7999×	body	80	valid
31.0ms	728×	body	80	invalid
0.0ms	1×	body	1280	valid

Details

analyze968.0ms

sample44.0ms

simplify59.0ms

prune9.0ms

localize19.0ms

rewrite28.0ms

series128.0ms

simplify83.0ms

prune344.0ms

localize20.0ms

rewrite46.0ms

series848.0ms

simplify90.0ms

prune341.0ms

localize12.0ms

rewrite18.0ms

series117.0ms

simplify60.0ms

prune188.0ms

localize12.0ms

rewrite32.0ms

series180.0ms

simplify114.0ms

prune724.0ms

regimes859.0ms

bsearch1.0ms

simplify3.0ms

end0.0ms

sample710.0ms

Profiling