Details

sample98.0ms

Algorithm

intervals

Results

41.0ms	94×	body	2560	valid
21.0ms	80×	body	1280	valid
10.0ms	281×	body	80	nan
7.0ms	35×	body	640	valid
4.0ms	25×	body	320	valid
1.0ms	12×	body	160	valid
1.0ms	10×	body	80	valid

simplify94.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	5797	14

prune3.0ms

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: 0.7b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.2b	(* 5.0 (* v v))
0.7b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
10×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
4×	`associate-/r*` `difference-of-squares`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `associate-/l*` `add-log-exp`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `acos-asin` `frac-2neg` `div-sub` `div-exp` `associate-r` `clear-num` `*-commutative` `div-inv` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

8.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
5.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series11.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
3.0ms	(* 5.0 (* v v))
3.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify66.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4960	1050
1	4960	1050

prune114.0ms

Filtered

53 candidates to 72 candidates (-35.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	68	4	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	4	73

Merged error: 0.7b

Counts

73 → 4

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 (log (pow (exp 5.0) (* v v)))) (- (* v v) 1.0))
0.7b	(acos (/ (- 1.0 (log (pow (exp 5.0) (* v v)))) (- (* v v) 1.0)))
3.3b	(log (pow (exp 5.0) (* v v)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
20×	`times-frac`
16×	`add-cube-cbrt`
11×	`difference-of-squares`
7×	`log-prod`
6×	`add-exp-log`
5×	`add-cbrt-cube` `associate-/l*` `distribute-lft-out--`
4×	`associate-/r*`
3×	`pow1` `unpow-prod-down` `rem-log-exp` `add-log-exp`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `acos-asin` `pow-to-exp` `frac-2neg` `div-sub` `div-exp` `pow-exp` `clear-num` `log-pow` `div-inv` `sqr-pow`

Counts

3 → 72

Calls

3 calls:

10.0ms	(/ (- 1.0 (log (pow (exp 5.0) (* v v)))) (- (* v v) 1.0))
1.0ms	(acos (/ (- 1.0 (log (pow (exp 5.0) (* v v)))) (- (* v v) 1.0)))
3.0ms	(log (pow (exp 5.0) (* v v)))

series51.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(/ (- 1.0 (log (pow (exp 5.0) (* v v)))) (- (* v v) 1.0))
3.0ms	(acos (/ (- 1.0 (log (pow (exp 5.0) (* v v)))) (- (* v v) 1.0)))
31.0ms	(log (pow (exp 5.0) (* v v)))

simplify73.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5044	1335

prune129.0ms

Filtered

58 candidates to 81 candidates (-39.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	81	4	85

Merged error: 0.7b

Counts

85 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.0b	(log (exp (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
0.2b	(* 5.0 (* v v))
0.7b	(acos (log (exp (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
24×	`times-frac`
23×	`add-cube-cbrt` `*-un-lft-identity`
19×	`log-pow`
18×	`exp-prod`
11×	`add-exp-log` `add-cbrt-cube`
10×	`pow1`
7×	`difference-of-squares`
4×	`associate-/r*` `associate-/r/` `add-log-exp`
3×	`log-prod` `flip3--` `associate-l` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `associate-/l*`
2×	`div-sub` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `acos-asin` `log-div` `frac-2neg` `exp-diff` `div-exp` `rem-log-exp` `associate-r` `clear-num` `*-commutative` `unswap-sqr`

Counts

4 → 94

Calls

4 calls:

8.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
10.0ms	(log (exp (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
6.0ms	(* 5.0 (* v v))
1.0ms	(acos (log (exp (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

series17.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
6.0ms	(log (exp (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
3.0ms	(* 5.0 (* v v))
3.0ms	(acos (log (exp (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

simplify60.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4964	1576
1	4964	1576

prune175.0ms

Filtered

81 candidates to 106 candidates (-30.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	106	4	110

Merged error: 0.7b

Counts

110 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 5.0 (* v v))
0.7b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
1.0b	(cbrt (pow (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 3))
1.0b	(pow (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 3)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod` `add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`unpow-prod-down` `cube-prod`
4×	`add-log-exp`
3×	`pow-unpow` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`acos-asin` `pow-to-exp` `pow-pow` `pow1/3` `associate-r` `pow-exp` `*-commutative` `rem-cbrt-cube` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

5.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
2.0ms	(cbrt (pow (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 3))
2.0ms	(pow (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 3)

series27.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 5.0 (* v v))
3.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
3.0ms	(cbrt (pow (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 3))
18.0ms	(pow (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 3)

simplify62.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5256	1250

prune91.0ms

Filtered

43 candidates to 83 candidates (-93.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	79	4	83
Fresh	1	0	1
Picked	1	0	1
Done	0	2	2
Total	81	6	87

Merged error: 0.7b

Counts

87 → 6

regimes154.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	57	21
1	57	21

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.2s	3044×	body	2560	valid
705.0ms	2524×	body	1280	valid
313.0ms	8070×	body	80	nan
245.0ms	1206×	body	640	valid
88.0ms	598×	body	320	valid
41.0ms	407×	body	160	valid
13.0ms	221×	body	80	valid

Details

sample98.0ms

simplify94.0ms

prune3.0ms

localize8.0ms

rewrite16.0ms

series11.0ms

simplify66.0ms

prune114.0ms

localize14.0ms

rewrite16.0ms

series51.0ms

simplify73.0ms

prune129.0ms

localize11.0ms

rewrite28.0ms

series17.0ms

simplify60.0ms

prune175.0ms

localize11.0ms

rewrite12.0ms

series27.0ms

simplify62.0ms

prune91.0ms

regimes154.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample3.0s

Profiling