Details

analyze688.0ms

Algorithm: search

sample25.0ms

Algorithm

intervals

Results

15.0ms

256×

body

valid

simplify33.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	8
1	61	8
2	141	8
3	347	8
4	792	8
5	5002	8

prune4.0ms

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: 13.1b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
1.0b	(- (* (* z 2.0) z) (* y t))
23.6b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
5×	`add-cube-cbrt`
3×	`pow1` `cbrt-undiv` `flip3--` `times-frac` `div-exp` `prod-exp` `associate-/r*` `flip--` `cbrt-unprod`
2×	`sub-neg` `diff-log` `associate-/r/`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 51

Calls

3 calls:

8.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
4.0ms	(- (* (* z 2.0) z) (* y t))
9.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series57.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
9.0ms	(- (* (* z 2.0) z) (* y t))
24.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify43.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	318	564
1	1519	493
2	5002	493

prune111.0ms

Filtered

42 candidates to 60 candidates (-42.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	51	9	60
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	9	61

Merged error: 6.1b

Counts

61 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
1.0b	(- (* (* z 2.0) z) (* y t))
5.2b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
20.3b	(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

40×	`times-frac`
28×	`add-sqr-sqrt` `*-un-lft-identity`
26×	`add-cube-cbrt`
18×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/r*`
8×	`add-log-exp`
7×	`cbrt-undiv` `div-exp`
4×	`pow1` `div-inv` `associate-/l*`
3×	`flip3--` `flip--`
2×	`sub-neg` `frac-2neg` `diff-log` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l/`
1×	`div-sub` `associate-/r/` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 102

Calls

4 calls:

11.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
4.0ms	(- (* (* z 2.0) z) (* y t))
8.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
7.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

series64.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
7.0ms	(- (* (* z 2.0) z) (* y t))
23.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
9.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify64.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	472	1105
1	2263	993
2	5003	988

prune171.0ms

Filtered

84 candidates to 114 candidates (-35.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	107	7	114
Fresh	7	1	8
Picked	1	0	1
Done	0	0	0
Total	115	8	123

Merged error: 2.1b

Counts

123 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* z 2.0) (/ (* t y) z))
0.0b	(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
5.2b	(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
5.4b	(/ (* t y) z)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt` `add-log-exp`
6×	`times-frac` `associate-/r*`
4×	`pow1` `cbrt-undiv` `div-exp`
3×	`flip3--` `flip--`
2×	`sub-neg` `frac-2neg` `diff-log` `prod-exp` `clear-num` `associate-/r/` `cbrt-unprod` `div-inv` `associate-/l*`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 70

Calls

4 calls:

4.0ms	(- (* z 2.0) (/ (* t y) z))
8.0ms	(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
7.0ms	(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
4.0ms	(/ (* t y) z)

series54.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (* z 2.0) (/ (* t y) z))
19.0ms	(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
22.0ms	(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
5.0ms	(/ (* t y) z)

simplify43.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	334	566
1	1494	506
2	5001	506

prune115.0ms

Filtered

57 candidates to 82 candidates (-43.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	77	5	82
Fresh	5	2	7
Picked	1	0	1
Done	0	0	0
Total	83	7	90

Merged error: 0.6b

Counts

90 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* y (/ 2.0 (- (* 2.0 z) (/ (* t y) z)))))
0.2b	(/ 2.0 (- (* 2.0 z) (/ (* t y) z)))
5.2b	(* y (/ 2.0 (- (* 2.0 z) (/ (* t y) z))))
5.4b	(/ (* t y) z)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
16×	`add-exp-log` `add-cbrt-cube`
15×	`associate-r`
6×	`pow1` `associate-/r*` `add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/r/` `associate-/l*`
3×	`flip3--` `associate-l` `prod-exp` `flip--` `cbrt-unprod` `div-inv`
2×	`frac-2neg` `clear-num` `unswap-sqr`
1×	`sub-neg` `diff-log` `associate-r/` `pow-prod-down` `-commutative`

Counts

4 → 96

Calls

4 calls:

2.0ms	(- x (* y (/ 2.0 (- (* 2.0 z) (/ (* t y) z)))))
8.0ms	(/ 2.0 (- (* 2.0 z) (/ (* t y) z)))
9.0ms	(* y (/ 2.0 (- (* 2.0 z) (/ (* t y) z))))
5.0ms	(/ (* t y) z)

series51.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(- x (* y (/ 2.0 (- (* 2.0 z) (/ (* t y) z)))))
8.0ms	(/ 2.0 (- (* 2.0 z) (/ (* t y) z)))
21.0ms	(* y (/ 2.0 (- (* 2.0 z) (/ (* t y) z))))
5.0ms	(/ (* t y) z)

simplify50.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	382	788
1	1792	715
2	5001	715

prune137.0ms

Filtered

79 candidates to 108 candidates (-36.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	108	7	115

Merged error: 0.6b

Counts

115 → 7

regimes282.0ms

Accuracy

22.9% (1.8b remaining)

Error of 2.1b against oracle of 0.3b and baseline of 2.6b

bsearch411.0ms

Steps

Iters	Range		Point
7	58.86250619940149	3489.637441191108	1853.961211351907

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	14
1	25	14

end0.0ms

analyze783.0ms

Algorithm: search

sample617.0ms

Algorithm

intervals

Results

405.0ms

8000×

body

valid

Details

analyze688.0ms

sample25.0ms

simplify33.0ms

prune4.0ms

localize10.0ms

rewrite22.0ms

series57.0ms

simplify43.0ms

prune111.0ms

localize10.0ms

rewrite33.0ms

series64.0ms

simplify64.0ms

prune171.0ms

localize10.0ms

rewrite25.0ms

series54.0ms

simplify43.0ms

prune115.0ms

localize10.0ms

rewrite27.0ms

series51.0ms

simplify50.0ms

prune137.0ms

regimes282.0ms

bsearch411.0ms

simplify1.0ms

end0.0ms

analyze783.0ms

sample617.0ms

Profiling