Details

sample95.0ms

Algorithm

intervals

Results

42.0ms	98×	body	2560	valid
21.0ms	78×	body	1280	valid
8.0ms	44×	body	640	valid
8.0ms	226×	body	80	nan
2.0ms	14×	body	320	valid
1.0ms	15×	body	160	valid
0.0ms	7×	body	80	valid

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5038	14

prune2.0ms

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: 0.5b

Counts

2 → 1

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (* 5.0 (* v v)))
0.0b	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.2b	(* 5.0 (* v v))
0.5b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

3.0ms	(- 1.0 (* 5.0 (* v v)))
7.0ms	(/ (- 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)))

series19.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify62.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4961	1205
1	4961	1205

prune124.0ms

Filtered

63 candidates to 87 candidates (-38.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	84	3	87
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	3	88

Merged error: 0.5b

Counts

88 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.0b	(pow (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)) 3)
0.2b	(* 5.0 (* v v))
0.5b	(acos (cbrt (pow (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)) 3)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
36×	`times-frac`
31×	`add-cube-cbrt` `*-un-lft-identity`
18×	`unpow-prod-down` `cube-prod`
14×	`add-exp-log` `add-cbrt-cube`
10×	`pow1` `difference-of-squares`
6×	`associate-/r/`
4×	`flip3--` `associate-/r*` `flip--` `add-log-exp`
3×	`pow-unpow` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt`
1×	`cube-div` `acos-asin` `cube-mult` `pow-to-exp` `pow-pow` `frac-2neg` `unpow3` `div-sub` `associate-r` `clear-num` `*-commutative` `unswap-sqr` `sqr-pow`

Counts

4 → 119

Calls

4 calls:

7.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
9.0ms	(pow (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)) 3)
5.0ms	(* 5.0 (* v v))
1.0ms	(acos (cbrt (pow (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)) 3)))

series18.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
7.0ms	(pow (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)) 3)
3.0ms	(* 5.0 (* v v))
3.0ms	(acos (cbrt (pow (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)) 3)))

simplify54.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5326	2330

prune184.0ms

Filtered

81 candidates to 131 candidates (-61.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	131	3	134

Merged error: 0.5b

Counts

134 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1.0 (* 5.0 (* v v))) (/ 1 (- (* v v) 1.0)))
0.0b	(/ 1 (- (* v v) 1.0))
0.2b	(* 5.0 (* v v))
0.5b	(acos (* (- 1.0 (* 5.0 (* v v))) (/ 1 (- (* v v) 1.0))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
26×	`times-frac`
24×	`*-un-lft-identity`
23×	`add-cube-cbrt`
22×	`add-exp-log`
19×	`associate-r`
16×	`add-cbrt-cube`
12×	`pow1`
7×	`prod-exp` `difference-of-squares`
6×	`associate-l`
5×	`cbrt-unprod`
4×	`flip3--` `div-exp` `pow-prod-down` `associate-/r*` `associate-/r/` `flip--` `add-log-exp` `unswap-sqr`
3×	`associate-/l*`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-l/` `-commutative` `div-inv`
1×	`acos-asin` `pow-flip` `frac-2neg` `associate-*r/` `clear-num` `un-div-inv` `inv-pow`

Counts

4 → 109

Calls

4 calls:

14.0ms	(* (- 1.0 (* 5.0 (* v v))) (/ 1 (- (* v v) 1.0)))
6.0ms	(/ 1 (- (* v v) 1.0))
5.0ms	(* 5.0 (* v v))
1.0ms	(acos (* (- 1.0 (* 5.0 (* v v))) (/ 1 (- (* v v) 1.0))))

series14.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (- 1.0 (* 5.0 (* v v))) (/ 1 (- (* v v) 1.0)))
3.0ms	(/ 1 (- (* v v) 1.0))
3.0ms	(* 5.0 (* v v))
3.0ms	(acos (* (- 1.0 (* 5.0 (* v v))) (/ 1 (- (* v v) 1.0))))

simplify53.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5042	1491

prune146.0ms

Filtered

78 candidates to 121 candidates (-55.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	121	3	124

Merged error: 0.5b

Counts

124 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
1.0b	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
1.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))

series171.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
39.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
41.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
39.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))

simplify66.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5498	1672

prune193.0ms

Filtered

57 candidates to 85 candidates (-49.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	81	4	85
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	82	6	88

Merged error: 0.5b

Counts

88 → 6

regimes198.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.5b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	17
1	13	17

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.2s	2963×	body	2560	valid
684.0ms	2499×	body	1280	valid
292.0ms	8072×	body	80	nan
245.0ms	1239×	body	640	valid
94.0ms	655×	body	320	valid
43.0ms	439×	body	160	valid
12.0ms	205×	body	80	valid

Details

sample95.0ms

simplify59.0ms

prune2.0ms

localize8.0ms

rewrite18.0ms

series19.0ms

simplify62.0ms

prune124.0ms

localize11.0ms

rewrite29.0ms

series18.0ms

simplify54.0ms

prune184.0ms

localize9.0ms

rewrite29.0ms

series14.0ms

simplify53.0ms

prune146.0ms

localize13.0ms

rewrite11.0ms

series171.0ms

simplify66.0ms

prune193.0ms

regimes198.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.8s

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