Details

sample93.0ms

Algorithm

intervals

Results

39.0ms	101×	body	2560	valid
19.0ms	73×	body	1280	valid
11.0ms	44×	body	640	valid
9.0ms	232×	body	80	nan
4.0ms	25×	body	320	valid
1.0ms	7×	body	160	valid
0.0ms	6×	body	80	valid

simplify101.0ms

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

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: 0.2b

Counts

2 → 1

localize7.0ms

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))
0.1b	(* 5.0 (* v v))
0.2b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite19.0ms

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)))
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)))

series168.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(- 1.0 (* 5.0 (* v v)))
81.0ms	(/ (- 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

87 → 87

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	355	664
1	1356	609
2	5001	605

prune145.0ms

Filtered

87 candidates to 65 candidates (74.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	85	2	87
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	2	88

Merged error: 0.2b

Counts

88 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0))
0.1b	(* 5.0 (* v v))
0.2b	(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
1.1b	(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:

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

series147.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0))
25.0ms	(* 5.0 (* v v))
4.0ms	(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
26.0ms	(log (exp (* 5.0 (* v v))))

simplify49.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (35.0ms)

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

prune189.0ms

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	0	1	1
Picked	0	1	1
Done	0	0	0
Total	103	3	106

Merged error: 0.1b

Counts

106 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt (acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0))))
1.0b	(* (sqrt (acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))))
1.1b	(log (exp (* 5.0 (* v v))))
1.1b	(log (exp (* 5.0 (* v v))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
22×	`pow1`
21×	`sqrt-prod`
15×	`add-cube-cbrt` `*-un-lft-identity`
9×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `log-prod` `associate-r` `associate-l` `log-pow` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`exp-prod` `exp-to-pow` `rem-log-exp`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 90

Calls

4 calls:

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

series75.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(sqrt (acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0))))
4.0ms	(* (sqrt (acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))))
25.0ms	(log (exp (* 5.0 (* v v))))
25.0ms	(log (exp (* 5.0 (* v v))))

simplify124.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 3 (113.0ms)

Iter	Nodes	Cost
0	139	1069
1	534	870
2	2695	802
3	5001	772

prune214.0ms

Filtered

102 candidates to 60 candidates (58.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	100	2	102
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	100	5	105

Merged error: 0.1b

Counts

105 → 5

localize28.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (cbrt (acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))) (cbrt (acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))))
1.1b	(log (exp (* 5.0 (* v v))))
1.1b	(log (exp (* 5.0 (* v v))))
1.1b	(log (exp (* 5.0 (* v v))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

8.0ms	(* (cbrt (acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))) (cbrt (acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))))
2.0ms	(log (exp (* 5.0 (* v v))))
2.0ms	(log (exp (* 5.0 (* v v))))
2.0ms	(log (exp (* 5.0 (* v v))))

series233.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(* (cbrt (acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))) (cbrt (acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))))
27.0ms	(log (exp (* 5.0 (* v v))))
25.0ms	(log (exp (* 5.0 (* v v))))
25.0ms	(log (exp (* 5.0 (* v v))))

simplify73.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	134	1180
1	436	1049
2	1961	935
3	5001	909

prune368.0ms

Filtered

94 candidates to 61 candidates (64.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	93	1	94
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	94	5	99

Merged error: 0.1b

Counts

99 → 5

regimes95.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	9
1	12	9

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.1s	2970×	body	2560	valid
647.0ms	2468×	body	1280	valid
287.0ms	8057×	body	80	nan
252.0ms	1312×	body	640	valid
86.0ms	617×	body	320	valid
43.0ms	426×	body	160	valid
12.0ms	207×	body	80	valid

Details

sample93.0ms

simplify101.0ms

prune2.0ms

localize7.0ms

rewrite19.0ms

series168.0ms

simplify44.0ms

prune145.0ms

localize10.0ms

rewrite24.0ms

series147.0ms

simplify49.0ms

prune189.0ms

localize16.0ms

rewrite14.0ms

series75.0ms

simplify124.0ms

prune214.0ms

localize28.0ms

rewrite16.0ms

series233.0ms

simplify73.0ms

prune368.0ms

regimes95.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.7s

Profiling