Details

sample24.0ms

Algorithm

intervals

Results

15.0ms

256×

body

valid

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	9
1	36	9
2	68	9
3	117	9
4	174	9
5	195	9
6	197	9
7	197	9

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: 32.1b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* (* y 4.0) y))
3.8b	(- (* x x) (* (* y 4.0) y))
31.6b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-/r` `associate-/l`
2×	`flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

3 → 55

Calls

3 calls:

3.0ms	(+ (* x x) (* (* y 4.0) y))
3.0ms	(- (* x x) (* (* y 4.0) y))
7.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series25.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(+ (* x x) (* (* y 4.0) y))
7.0ms	(- (* x x) (* (* y 4.0) y))
11.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify34.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	234	680
1	1007	622
2	5001	620

prune89.0ms

Filtered

49 candidates to 64 candidates (-30.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	61	3	64
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	3	65

Merged error: 0.1b

Counts

65 → 3

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune10.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	0	0
Total	3	3

Merged error: 0.1b

Counts

3 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

16.5b	(/ (cbrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))
31.1b	(cbrt (- (* x x) (* (* y 4.0) y)))
31.1b	(cbrt (- (* x x) (* (* y 4.0) y)))
31.1b	(cbrt (- (* x x) (* (* y 4.0) y)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
21×	`cbrt-prod`
18×	`times-frac`
8×	`cbrt-div`
6×	`add-exp-log` `associate-/l*`
5×	`add-cbrt-cube`
4×	`pow1` `flip3--` `flip--` `add-log-exp`
3×	`pow1/3` `associate-/r*`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

4 → 82

Calls

4 calls:

13.0ms	(/ (cbrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))
6.0ms	(cbrt (- (* x x) (* (* y 4.0) y)))
5.0ms	(cbrt (- (* x x) (* (* y 4.0) y)))
6.0ms	(cbrt (- (* x x) (* (* y 4.0) y)))

series116.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ (cbrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))
22.0ms	(cbrt (- (* x x) (* (* y 4.0) y)))
22.0ms	(cbrt (- (* x x) (* (* y 4.0) y)))
33.0ms	(cbrt (- (* x x) (* (* y 4.0) y)))

simplify109.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	288	1255
1	995	1199
2	3766	1174
3	5002	1147

prune222.0ms

Filtered

79 candidates to 94 candidates (-19.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	94	3	97

Merged error: 0.1b

Counts

97 → 3

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	2	2
Total	3	3

Merged error: 0.1b

Counts

3 → 3

regimes201.0ms

Accuracy

53.7% (14.4b remaining)

Error of 14.7b against oracle of 0.3b and baseline of 31.4b

bsearch103.0ms

Steps

Iters	Range		Point
8	4.846190563813395e+260	1.1401098828463508e+264	4.538603304719864e+263
9	2.8075498206663264e+86	2.196087698293766e+94	1.0543443644161376e+91
8	0.05509022172796265	47.32053865362905	46.7132961700271
8	2.846669955700393e-59	6.794614473148591e-56	4.944645238303063e-59
8	5.6016843408292354e-148	2.3537777556457772e-145	6.504411157198914e-147
9	1.431321817089817e-286	2.3158275186466194e-277	4.9967782475553325e-286

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	72
1	38	72

end0.0ms

sample541.0ms

Algorithm

intervals

Results

354.0ms

8000×

body

valid

Details

sample24.0ms

simplify17.0ms

prune2.0ms

localize8.0ms

rewrite15.0ms

series25.0ms

simplify34.0ms

prune89.0ms

localize1.0ms

rewrite0.0ms

series0.0ms

simplify3.0ms

prune10.0ms

localize20.0ms

rewrite36.0ms

series116.0ms

simplify109.0ms

prune222.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify3.0ms

prune0.0ms

regimes201.0ms

bsearch103.0ms

simplify2.0ms

end0.0ms

sample541.0ms

Profiling