Details

sample83.0ms

Algorithm

intervals

Results

31.0ms	93×	body	2560	valid
18.0ms	82×	body	1280	valid
11.0ms	273×	body	80	nan
7.0ms	42×	body	640	valid
2.0ms	17×	body	320	valid
1.0ms	15×	body	160	valid
0.0ms	7×	body	80	valid

simplify96.0ms

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	5001	7

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 0.6b

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))
0.6b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite17.0ms

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)))

series114.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
24.0ms	(* 5.0 (* v v))
4.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify44.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (30.0ms)

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

prune157.0ms

Filtered

72 candidates to 55 candidates (76.4%)

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: 0.6b

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))
0.6b	(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
2.9b	(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:

11.0ms	(/ (- 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))))

series143.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0))
31.0ms	(* 5.0 (* v v))
4.0ms	(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
24.0ms	(log (exp (* 5.0 (* v v))))

simplify41.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (31.0ms)

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

prune244.0ms

Filtered

104 candidates to 73 candidates (70.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	104	3	107

Merged error: 0.6b

Counts

107 → 3

localize12.0ms

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))
0.6b	(asin (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
2.9b	(log (exp (* 5.0 (* v v))))

rewrite23.0ms

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` `asin-acos` `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:

11.0ms	(/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0))
6.0ms	(* 5.0 (* v v))
1.0ms	(asin (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
2.0ms	(log (exp (* 5.0 (* v v))))

series142.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0))
30.0ms	(* 5.0 (* v v))
4.0ms	(asin (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
25.0ms	(log (exp (* 5.0 (* v v))))

simplify41.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (31.0ms)

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

prune267.0ms

Filtered

104 candidates to 73 candidates (70.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	104	3	107

Merged error: 0.6b

Counts

107 → 3

localize12.0ms

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))))

series809.0ms

Counts

4 → 12

Calls

4 calls:

338.0ms	(* (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
187.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
147.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
137.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))

simplify83.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	117	1278
1	417	1112
2	2698	1044
3	5001	1031

prune162.0ms

Filtered

85 candidates to 56 candidates (65.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	83	5	88

Merged error: 0.6b

Counts

88 → 5

regimes113.0ms

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	16	11
1	16	11

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.0s	3009×	body	2560	valid
553.0ms	2412×	body	1280	valid
229.0ms	7730×	body	80	nan
218.0ms	1313×	body	640	valid
70.0ms	567×	body	320	valid
41.0ms	494×	body	160	valid
10.0ms	205×	body	80	valid