Details

analyze926.0ms

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
0%	99.8%	0.2%	10
13.2%	86.5%	0.2%	11
16.8%	83%	0.2%	12
22.7%	77.1%	0.2%	13
24.1%	74.7%	1.3%	14

sample35.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
3.0ms	96×	body	80	invalid

simplify68.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	719	13
1	719	13

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: 4.9b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
0.0b	(*.f64 y (-.f64 z t))
5.4b	(/.f64 (*.f64 y (-.f64 z t)) a)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

11×	`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` `associate-r_binary64_2559`
4×	`associate-*r/_binary64_2561`
3×	`associate-l_binary64_2560` `times-frac_binary64_2495` `associate-/r*_binary64_2563`
2×	`associate-/l/_binary64_2566` `div-exp_binary64_2453` `sub-neg_binary64_2504` `cbrt-undiv_binary64_2470` `prod-exp_binary64_2451` `flip--_binary64_2526` `cbrt-unprod_binary64_2469` `flip3--_binary64_2499`
1×	`flip3-+_binary64_2498` `distribute-rgt-in_binary64_2543` `distribute-lft-out--_binary64_2545` `+-commutative_binary64_2567` `difference-of-squares_binary64_2529` `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 → 59

Calls

3 calls:

5.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
7.0ms	(*.f64 y (-.f64 z t))
7.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)

series341.0ms

Counts

3 → 9

Calls

3 calls:

253.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
31.0ms	(*.f64 y (-.f64 z t))
56.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)

simplify62.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4992	849
1	4992	849

prune284.0ms

Filtered

49 candidates to 68 candidates (-38.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	60	8	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	8	69

Merged error: 0.0b

Counts

69 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 a)
0.6b	(cbrt.f64 a)
0.6b	(cbrt.f64 a)
4.9b	(.f64 (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt_binary64_2485`
40×	`times-frac_binary64_2495`
38×	`*-un-lft-identity_binary64_2500`
34×	`associate-r_binary64_2559`
26×	`add-cube-cbrt_binary64_2471` `cbrt-prod_binary64_2467`
25×	`add-exp-log_binary64_2464`
18×	`add-cbrt-cube_binary64_2472`
8×	`prod-exp_binary64_2451` `cbrt-unprod_binary64_2469`
7×	`associate-l_binary64_2560` `div-exp_binary64_2453` `cbrt-undiv_binary64_2470`
6×	`pow1_binary64_2446` `distribute-lft-out--_binary64_2545` `difference-of-squares_binary64_2529` `unswap-sqr_binary64_2528`
4×	`add-log-exp_binary64_2465`
3×	`pow1/3_binary64_2438`
2×	`div-inv_binary64_2501`
1×	`associate-l/_binary64_2562` `frac-times_binary64_2492` `pow-prod-down_binary64_2427` `-commutative_binary64_2568` `associate-*r/_binary64_2561`

Counts

4 → 104

Calls

4 calls:

1.0ms	(cbrt.f64 a)
1.0ms	(cbrt.f64 a)
1.0ms	(cbrt.f64 a)
20.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))

series335.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(cbrt.f64 a)
86.0ms	(cbrt.f64 a)
81.0ms	(cbrt.f64 a)
86.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))

simplify94.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5046	1668

prune403.0ms

Filtered

89 candidates to 116 candidates (-30.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	118	6	124

Merged error: 0.0b

Counts

124 → 6

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (.f64 1 (.f64 (/.f64 y a) (-.f64 z t))))
5.5b	(*.f64 (/.f64 y a) (-.f64 z t))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_2485`
13×	`associate-l_binary64_2560` `*-un-lft-identity_binary64_2500`
10×	`add-cube-cbrt_binary64_2471` `times-frac_binary64_2495`
7×	`add-exp-log_binary64_2464` `add-cbrt-cube_binary64_2472`
6×	`sub-neg_binary64_2504`
5×	`distribute-rgt-in_binary64_2543` `distribute-lft-in_binary64_2542` `associate-r_binary64_2559`
4×	`pow1_binary64_2446` `associate-+r+_binary64_2551` `add-log-exp_binary64_2465`
2×	`frac-times_binary64_2492` `prod-exp_binary64_2451` `unswap-sqr_binary64_2528` `flip--_binary64_2526` `cbrt-unprod_binary64_2469` `associate-*r/_binary64_2561` `flip3--_binary64_2499`
1×	`associate-l/_binary64_2562` `flip3-+_binary64_2498` `distribute-lft-out--_binary64_2545` `+-commutative_binary64_2567` `difference-of-squares_binary64_2529` `div-exp_binary64_2453` `div-inv_binary64_2501` `cbrt-undiv_binary64_2470` `sum-log_binary64_2415` `pow-prod-down_binary64_2427` `-commutative_binary64_2568` `flip-+_binary64_2525` `distribute-lft-out_binary64_2544`

Counts

2 → 56

Calls

2 calls:

4.0ms	(+.f64 x (.f64 1 (.f64 (/.f64 y a) (-.f64 z t))))
9.0ms	(*.f64 (/.f64 y a) (-.f64 z t))

series124.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(+.f64 x (.f64 1 (.f64 (/.f64 y a) (-.f64 z t))))
67.0ms	(*.f64 (/.f64 y a) (-.f64 z t))

simplify55.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5031	899

prune257.0ms

Filtered

49 candidates to 62 candidates (-26.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	62	6	68

Merged error: 0.0b

Counts

68 → 6

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 a (-.f64 z t))
0.0b	(+.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
5.5b	(/.f64 y (/.f64 a (-.f64 z t)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac_binary64_2495`
105×	`*-un-lft-identity_binary64_2500`
103×	`add-sqr-sqrt_binary64_2485`
71×	`add-cube-cbrt_binary64_2471`
26×	`associate-/r*_binary64_2563`
16×	`distribute-lft-out--_binary64_2545` `difference-of-squares_binary64_2529`
11×	`associate-/r/_binary64_2565`
10×	`add-exp-log_binary64_2464` `add-cbrt-cube_binary64_2472`
6×	`div-inv_binary64_2501` `associate-/l*_binary64_2564`
5×	`add-log-exp_binary64_2465` `flip--_binary64_2526` `flip3--_binary64_2499`
4×	`div-exp_binary64_2453` `cbrt-undiv_binary64_2470`
3×	`pow1_binary64_2446`
2×	`frac-2neg_binary64_2493` `clear-num_binary64_2503`
1×	`flip3-+_binary64_2498` `+-commutative_binary64_2567` `sum-log_binary64_2415` `flip-+_binary64_2525` `distribute-lft-out_binary64_2544`

Counts

3 → 151

Calls

3 calls:

5.0ms	(/.f64 a (-.f64 z t))
19.0ms	(+.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
9.0ms	(/.f64 y (/.f64 a (-.f64 z t)))

series150.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/.f64 a (-.f64 z t))
52.0ms	(+.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
63.0ms	(/.f64 y (/.f64 a (-.f64 z t)))

simplify86.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5751	3124

prune457.0ms

Filtered

120 candidates to 160 candidates (-33.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	160	6	166

Merged error: 0.0b

Counts

166 → 6

regimes830.0ms

Accuracy

47.2% (1.2b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 2.4b

bsearch50.0ms

Steps

Iters	Range	Point
2	7445282847266043/1378913065775496824682182051857728448902028277271278088224317349054049721856053955032165000485952146958446223387833982704161766047792183079895777875237766653530662154044294980748355504146827894396365898183024673030144	2106134430342381/344728266443874206170545512964432112225507069317819522056079337263512430464013488758041250121488036739611555846958495676040441511948045769973944468809441663382665538511073745187088876036706973599091474545756168257536	6.020779023830261e-201
9	-28401676182601116821937114743795265089744928768000	-345679372448707421749488055484368537390153728	-4.763392810713804e+44

Iters

Range

Point

7445282847266043/1378913065775496824682182051857728448902028277271278088224317349054049721856053955032165000485952146958446223387833982704161766047792183079895777875237766653530662154044294980748355504146827894396365898183024673030144

2106134430342381/344728266443874206170545512964432112225507069317819522056079337263512430464013488758041250121488036739611555846958495676040441511948045769973944468809441663382665538511073745187088876036706973599091474545756168257536

6.020779023830261e-201

-28401676182601116821937114743795265089744928768000

-345679372448707421749488055484368537390153728

-4.763392810713804e+44

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	44	54
1	44	54

end0.0ms

sample828.0ms

Algorithm

intervals

Results

298.0ms	8000×	body	80	valid
87.0ms	2524×	body	80	invalid

Details

analyze926.0ms

sample35.0ms

simplify68.0ms

prune8.0ms

localize10.0ms

rewrite20.0ms

series341.0ms

simplify62.0ms

prune284.0ms

localize18.0ms

rewrite28.0ms

series335.0ms

simplify94.0ms

prune403.0ms

localize13.0ms

rewrite16.0ms

series124.0ms

simplify55.0ms

prune257.0ms

localize11.0ms

rewrite40.0ms

series150.0ms

simplify86.0ms

prune457.0ms

regimes830.0ms

bsearch50.0ms

simplify3.0ms

end0.0ms

sample828.0ms

Profiling