Details

sample96.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.071857%

Guaranteed chance to sample good point: 0%

Results

36.0ms	95×	body	2560	valid
20.0ms	75×	body	1280	valid
8.0ms	42×	body	640	valid
7.0ms	201×	body	80	nan
3.0ms	22×	body	320	valid
1.0ms	15×	body	160	valid
0.0ms	7×	body	80	valid

simplify98.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	7
1	42	7
2	77	7
3	146	7
4	242	7
5	417	7
6	2789	7
7	5002	7

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

localize7.0ms

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)))

rewrite15.0ms

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:

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)))

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)))

simplify38.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	336	587
1	1261	535
2	5002	531

prune114.0ms

Filtered

55 candidates to 72 candidates (-30.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	69	3	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	3	73

Merged error: 0.7b

Counts

73 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0))
0.2b	(* 5.0 (* v v))
0.7b	(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
3.8b	(log (exp (* 5.0 (* v v))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

12.0ms	(/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0))
6.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
2.0ms	(log (exp (* 5.0 (* v v))))

series14.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify43.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	381	974
1	1371	861
2	5002	842

prune176.0ms

Filtered

73 candidates to 104 candidates (-42.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	104	3	107

Merged error: 0.7b

Counts

107 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- (* v v) 1.0))
0.0b	(* (- 1.0 (* 5.0 (* v v))) (/ 1 (- (* v v) 1.0)))
0.2b	(* 5.0 (* v v))
0.7b	(acos (* (- 1.0 (* 5.0 (* v v))) (/ 1 (- (* v v) 1.0))))

rewrite28.0ms

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:

6.0ms	(/ 1 (- (* v v) 1.0))
12.0ms	(* (- 1.0 (* 5.0 (* v v))) (/ 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))))

series17.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ 1 (- (* v v) 1.0))
8.0ms	(* (- 1.0 (* 5.0 (* v v))) (/ 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))))

simplify60.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	465	890
1	2189	783
2	5001	748

prune147.0ms

Filtered

77 candidates to 121 candidates (-57.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	121	3	124

Merged error: 0.6b

Counts

124 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

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))))
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)))))

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:

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))))
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)))))

series173.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(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))))
42.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
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)))))

simplify88.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (76.0ms)

Iter	Nodes	Cost
0	117	1278
1	425	1112
2	2705	1044
3	5001	1031

prune213.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

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

Merged error: 0.6b

Counts

88 → 6

regimes271.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	9
1	12	9

end0.0ms

sample2.9s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.071857%

Guaranteed chance to sample good point: 0%

Results

1.2s	2962×	body	2560	valid
668.0ms	2481×	body	1280	valid
292.0ms	7811×	body	80	nan
251.0ms	1257×	body	640	valid
95.0ms	659×	body	320	valid
39.0ms	396×	body	160	valid
14.0ms	245×	body	80	valid

Details

sample96.0ms

simplify98.0ms

prune3.0ms

localize7.0ms

rewrite15.0ms

series11.0ms

simplify38.0ms

prune114.0ms

localize10.0ms

rewrite24.0ms

series14.0ms

simplify43.0ms

prune176.0ms

localize9.0ms

rewrite28.0ms

series17.0ms

simplify60.0ms

prune147.0ms

localize14.0ms

rewrite11.0ms

series173.0ms

simplify88.0ms

prune213.0ms

regimes271.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.9s

Profiling