Details

analyze1.9s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
0.8%	98.9%	0.3%	13
1.2%	98.5%	0.3%	14

sample41.0ms

Algorithm

intervals

Results

25.0ms	256×	body	128	valid
2.0ms	23×	body	128	invalid

simplify93.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4954	55
1	4954	55

prune4.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 28.4b

Counts

2 → 1

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z)
0.1b	(.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z)
1.7b	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b))
27.7b	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 z 4288183283079449/281474976710656) z) 4428869650076171/140737488355328) z) 3360836715704971/281474976710656) z) 2737158995491925/4503599627370496))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
15×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`pow1_binary64`
9×	`associate-r_binary64` `associate-l_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `prod-exp_binary64` `associate-l/_binary64`
3×	`pow-prod-down_binary64` `associate-/r_binary64` `unswap-sqr_binary64` `times-frac_binary64` `-commutative_binary64`
2×	`associate-/l/_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `div-exp_binary64`
1×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

4 → 87

Calls

4 calls:

8.0ms	(.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z)
12.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z)
20.0ms	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b))
32.0ms	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 z 4288183283079449/281474976710656) z) 4428869650076171/140737488355328) z) 3360836715704971/281474976710656) z) 2737158995491925/4503599627370496))

series1.3s

Counts

4 → 12

Calls

4 calls:

72.0ms	(.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z)
34.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z)
317.0ms	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b))
870.0ms	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 z 4288183283079449/281474976710656) z) 4428869650076171/140737488355328) z) 3360836715704971/281474976710656) z) 2737158995491925/4503599627370496))

simplify90.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4956	3033
1	4956	3033

prune213.0ms

Filtered

78 candidates to 99 candidates (-26.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	91	8	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	8	100

Merged error: 0.9b

Counts

100 → 8

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656))
0.1b	(.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t))
0.2b	(.f64 y (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496)))
26.4b	(/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt_binary64`
24×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
21×	`associate-r_binary64`
19×	`times-frac_binary64`
15×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`pow1_binary64`
9×	`associate-l_binary64`
5×	`flip3-+_binary64` `associate-*r/_binary64` `flip-+_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
3×	`pow-prod-down_binary64` `associate-/r_binary64` `associate-/l_binary64` `*-commutative_binary64`
2×	`associate-/l/_binary64` `cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`clear-num_binary64` `frac-2neg_binary64`

Counts

4 → 109

Calls

4 calls:

7.0ms	(.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656))
11.0ms	(.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t))
31.0ms	(.f64 y (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496)))
30.0ms	(/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496))

series1.3s

Counts

4 → 12

Calls

4 calls:

68.0ms	(.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656))
38.0ms	(.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t))
860.0ms	(.f64 y (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496)))
294.0ms	(/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496))

simplify114.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4940	4972
1	4940	4972

prune234.0ms

Filtered

89 candidates to 121 candidates (-36.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	119	2	121
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	120	9	129

Merged error: 0.7b

Counts

129 → 9

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656))
0.1b	(.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t))
0.1b	(/.f64 y (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b)))
26.4b	(/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac_binary64`
64×	`add-sqr-sqrt_binary64`
60×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
18×	`associate-/r*_binary64`
15×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`associate-/r/_binary64`
8×	`flip3-+_binary64` `pow1_binary64` `flip-+_binary64`
6×	`associate-r_binary64` `associate-l_binary64` `associate-/l*_binary64` `div-inv_binary64`
4×	`add-log-exp_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `div-exp_binary64`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `*-commutative_binary64`

Counts

4 → 153

Calls

4 calls:

7.0ms	(.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656))
12.0ms	(.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t))
29.0ms	(/.f64 y (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b)))
34.0ms	(/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b))

series1.2s

Counts

4 → 12

Calls

4 calls:

82.0ms	(.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656))
34.0ms	(.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t))
847.0ms	(/.f64 y (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b)))
199.0ms	(/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b))

simplify152.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4937	9759
1	4937	9759

prune442.0ms

Filtered

127 candidates to 165 candidates (-29.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	164	1	165
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	165	9	174

Merged error: 0.7b

Counts

174 → 9

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656))
0.1b	(.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t))
1.0b	(/.f64 y (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496))
27.3b	(.f64 (/.f64 y (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496)) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt_binary64`
24×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
21×	`associate-l_binary64`
19×	`times-frac_binary64`
15×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`pow1_binary64`
9×	`associate-r_binary64`
6×	`flip3-+_binary64` `associate-*r/_binary64` `flip-+_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
3×	`pow-prod-down_binary64` `associate-/r_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-/l_binary64` `*-commutative_binary64`
2×	`cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64` `frac-times_binary64`
1×	`clear-num_binary64` `frac-2neg_binary64` `associate-*l/_binary64`

Counts

4 → 113

Calls

4 calls:

7.0ms	(.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656))
12.0ms	(.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t))
16.0ms	(/.f64 y (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496))
42.0ms	(.f64 (/.f64 y (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496)) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b))

series1.2s

Counts

4 → 12

Calls

4 calls:

74.0ms	(.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656))
37.0ms	(.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t))
223.0ms	(/.f64 y (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496))
868.0ms	(.f64 (/.f64 y (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496)) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b))

simplify99.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4933	4473
1	4933	4473

prune210.0ms

Filtered

91 candidates to 125 candidates (-37.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	1	5	6
Picked	1	0	1
Done	0	2	2
Total	126	8	134

Merged error: 0.7b

Counts

134 → 8

regimes626.0ms

Accuracy

97.1% (0.8b remaining)

Error of 1.3b against oracle of 0.5b and baseline of 28.4b

bsearch90.0ms

Steps

Iters	Range		Point
7	3.494768710998732e+28	4.275912297299808e+30	4.207358716243493e+30
11	-8.845678390981506e+65	-1.5622869449194628e+44	-1.4720863540359405e+55

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	98	138
1	98	138

end0.0ms

sample1.1s

Algorithm

intervals

Results

700.0ms	8000×	body	128	valid
71.0ms	823×	body	128	invalid

Details

analyze1.9s

sample41.0ms

simplify93.0ms

prune4.0ms

localize24.0ms

rewrite83.0ms

series1.3s

simplify90.0ms

prune213.0ms

localize26.0ms

rewrite95.0ms

series1.3s

simplify114.0ms

prune234.0ms

localize25.0ms

rewrite109.0ms

series1.2s

simplify152.0ms

prune442.0ms

localize25.0ms

rewrite93.0ms

series1.2s

simplify99.0ms

prune210.0ms

regimes626.0ms

bsearch90.0ms

simplify4.0ms

end0.0ms

sample1.1s

Profiling