Details

analyze518.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
18.7%	81.1%	0.1%	7
21.8%	78%	0.1%	8
21.8%	78%	0.1%	9
49.1%	50.7%	0.1%	10
52.7%	47.2%	0.1%	11
52.7%	47.2%	0.1%	12
71.7%	28.2%	0.1%	13
74.1%	25.8%	0.1%	14

sample21.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify26.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	453	31
1	453	31

prune3.0ms

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: 20.7b

Counts

2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (*.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992)
0.1b	(.f64 (+.f64 (.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992) z)
4.1b	(.f64 y (+.f64 (.f64 (+.f64 (*.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992) z) 5029535718965825/18014398509481984))
19.9b	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992) z) 5029535718965825/18014398509481984)) (+.f64 (.f64 (+.f64 z 1692356830115869/281474976710656) z) 7544303578448747/2251799813685248))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

5.0ms	(+.f64 (*.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992)
7.0ms	(.f64 (+.f64 (.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992) z)
11.0ms	(.f64 y (+.f64 (.f64 (+.f64 (*.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992) z) 5029535718965825/18014398509481984))
20.0ms	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992) z) 5029535718965825/18014398509481984)) (+.f64 (.f64 (+.f64 z 1692356830115869/281474976710656) z) 7544303578448747/2251799813685248))

series205.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+.f64 (*.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992)
38.0ms	(.f64 (+.f64 (.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992) z)
48.0ms	(.f64 y (+.f64 (.f64 (+.f64 (*.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992) z) 5029535718965825/18014398509481984))
98.0ms	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992) z) 5029535718965825/18014398509481984)) (+.f64 (.f64 (+.f64 z 1692356830115869/281474976710656) z) 7544303578448747/2251799813685248))

simplify62.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5013	1769

prune125.0ms

Filtered

67 candidates to 90 candidates (-34.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	85	5	90
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	85	6	91

Merged error: 0.0b

Counts

91 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (*.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992)
0.1b	(.f64 z (+.f64 (.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992))
0.1b	(.f64 y (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992)) 5029535718965825/18014398509481984) (+.f64 (.f64 z (+.f64 z 1692356830115869/281474976710656)) 7544303578448747/2251799813685248)))
15.1b	(/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992)) 5029535718965825/18014398509481984) (+.f64 (*.f64 z (+.f64 z 1692356830115869/281474976710656)) 7544303578448747/2251799813685248))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

4.0ms	(+.f64 (*.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992)
7.0ms	(.f64 z (+.f64 (.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992))
17.0ms	(.f64 y (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992)) 5029535718965825/18014398509481984) (+.f64 (.f64 z (+.f64 z 1692356830115869/281474976710656)) 7544303578448747/2251799813685248)))
16.0ms	(/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992)) 5029535718965825/18014398509481984) (+.f64 (*.f64 z (+.f64 z 1692356830115869/281474976710656)) 7544303578448747/2251799813685248))

series184.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+.f64 (*.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992)
38.0ms	(.f64 z (+.f64 (.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992))
95.0ms	(.f64 y (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992)) 5029535718965825/18014398509481984) (+.f64 (.f64 z (+.f64 z 1692356830115869/281474976710656)) 7544303578448747/2251799813685248)))
24.0ms	(/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992)) 5029535718965825/18014398509481984) (+.f64 (*.f64 z (+.f64 z 1692356830115869/281474976710656)) 7544303578448747/2251799813685248))

simplify78.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4976	2786
1	4976	2786

prune141.0ms

Filtered

83 candidates to 110 candidates (-32.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	111	5	116

Merged error: 0.0b

Counts

116 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 z (.f64 z 4992947066835229/72057594037927936)) (*.f64 z 4429125951667411/9007199254740992))
0.1b	(.f64 y (/.f64 (+.f64 (+.f64 (.f64 z (.f64 z 4992947066835229/72057594037927936)) (.f64 z 4429125951667411/9007199254740992)) 5029535718965825/18014398509481984) (+.f64 (*.f64 z (+.f64 z 1692356830115869/281474976710656)) 7544303578448747/2251799813685248)))
0.2b	(.f64 z (.f64 z 4992947066835229/72057594037927936))
15.1b	(/.f64 (+.f64 (+.f64 (.f64 z (.f64 z 4992947066835229/72057594037927936)) (.f64 z 4429125951667411/9007199254740992)) 5029535718965825/18014398509481984) (+.f64 (.f64 z (+.f64 z 1692356830115869/281474976710656)) 7544303578448747/2251799813685248))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity_binary64`
28×	`add-sqr-sqrt_binary64`
25×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64`
19×	`associate-r_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`pow1_binary64`
8×	`distribute-lft-out_binary64`
6×	`add-log-exp_binary64` `associate-l_binary64`
5×	`cbrt-unprod_binary64` `prod-exp_binary64`
4×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-/r/_binary64` `associate-/l*_binary64` `flip-+_binary64`
3×	`associate-/r*_binary64`
2×	`associate-/l/_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-inv_binary64` `div-exp_binary64` `*-commutative_binary64`
1×	`associate-*r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 102

Calls

4 calls:

6.0ms	(+.f64 (.f64 z (.f64 z 4992947066835229/72057594037927936)) (*.f64 z 4429125951667411/9007199254740992))
19.0ms	(.f64 y (/.f64 (+.f64 (+.f64 (.f64 z (.f64 z 4992947066835229/72057594037927936)) (.f64 z 4429125951667411/9007199254740992)) 5029535718965825/18014398509481984) (+.f64 (*.f64 z (+.f64 z 1692356830115869/281474976710656)) 7544303578448747/2251799813685248)))
5.0ms	(.f64 z (.f64 z 4992947066835229/72057594037927936))
16.0ms	(/.f64 (+.f64 (+.f64 (.f64 z (.f64 z 4992947066835229/72057594037927936)) (.f64 z 4429125951667411/9007199254740992)) 5029535718965825/18014398509481984) (+.f64 (.f64 z (+.f64 z 1692356830115869/281474976710656)) 7544303578448747/2251799813685248))

series186.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(+.f64 (.f64 z (.f64 z 4992947066835229/72057594037927936)) (*.f64 z 4429125951667411/9007199254740992))
96.0ms	(.f64 y (/.f64 (+.f64 (+.f64 (.f64 z (.f64 z 4992947066835229/72057594037927936)) (.f64 z 4429125951667411/9007199254740992)) 5029535718965825/18014398509481984) (+.f64 (*.f64 z (+.f64 z 1692356830115869/281474976710656)) 7544303578448747/2251799813685248)))
20.0ms	(.f64 z (.f64 z 4992947066835229/72057594037927936))
25.0ms	(/.f64 (+.f64 (+.f64 (.f64 z (.f64 z 4992947066835229/72057594037927936)) (.f64 z 4429125951667411/9007199254740992)) 5029535718965825/18014398509481984) (+.f64 (.f64 z (+.f64 z 1692356830115869/281474976710656)) 7544303578448747/2251799813685248))

simplify102.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5369	2906

prune133.0ms

Filtered

80 candidates to 114 candidates (-42.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	114	5	119

Merged error: 0.0b

Counts

119 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (*.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992)
0.1b	(.f64 z (+.f64 (.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992))
4.1b	(.f64 y (.f64 z (+.f64 (*.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992)))
19.9b	(/.f64 (+.f64 (.f64 y (.f64 z (+.f64 (.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992))) (.f64 y 5029535718965825/18014398509481984)) (+.f64 (*.f64 (+.f64 z 1692356830115869/281474976710656) z) 7544303578448747/2251799813685248))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`times-frac_binary64`
11×	`pow1_binary64`
6×	`add-log-exp_binary64` `associate-r/_binary64` `associate-l*_binary64`
5×	`flip3-+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `associate-r_binary64` `prod-exp_binary64` `associate-/l*_binary64`
3×	`associate-/r*_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64` `*-commutative_binary64`
1×	`cbrt-undiv_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 92

Calls

4 calls:

4.0ms	(+.f64 (*.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992)
7.0ms	(.f64 z (+.f64 (.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992))
9.0ms	(.f64 y (.f64 z (+.f64 (*.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992)))
19.0ms	(/.f64 (+.f64 (.f64 y (.f64 z (+.f64 (.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992))) (.f64 y 5029535718965825/18014398509481984)) (+.f64 (*.f64 (+.f64 z 1692356830115869/281474976710656) z) 7544303578448747/2251799813685248))

series194.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+.f64 (*.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992)
38.0ms	(.f64 z (+.f64 (.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992))
43.0ms	(.f64 y (.f64 z (+.f64 (*.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992)))
90.0ms	(/.f64 (+.f64 (.f64 y (.f64 z (+.f64 (.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992))) (.f64 y 5029535718965825/18014398509481984)) (+.f64 (*.f64 (+.f64 z 1692356830115869/281474976710656) z) 7544303578448747/2251799813685248))

simplify69.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5226	2328

prune112.0ms

Filtered

73 candidates to 104 candidates (-42.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	104	5	109

Merged error: 0.0b

Counts

109 → 5

regimes149.0ms

Accuracy

99.7% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 16.0b

bsearch51.0ms

Steps

Iters	Range		Point
9	56653.38544825356	208838970473209.12	744068.7366967004
9	-3.262715096612418e+37	-9.742571055442354e+30	-3.2178271961500854e+37

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	70	70
1	70	70

end0.0ms

sample595.0ms

Algorithm

intervals

Results

422.0ms

8000×

body

valid

Details

analyze518.0ms

sample21.0ms

simplify26.0ms

prune3.0ms

localize15.0ms

rewrite44.0ms

series205.0ms

simplify62.0ms

prune125.0ms

localize14.0ms

rewrite48.0ms

series184.0ms

simplify78.0ms

prune141.0ms

localize18.0ms

rewrite49.0ms

series186.0ms

simplify102.0ms

prune133.0ms

localize16.0ms

rewrite42.0ms

series194.0ms

simplify69.0ms

prune112.0ms

regimes149.0ms

bsearch51.0ms

simplify5.0ms

end0.0ms

sample595.0ms

Profiling