Details

sample80.0ms

Algorithm

intervals

Results

36.0ms	103×	body	2560	valid
19.0ms	85×	body	1280	valid
6.0ms	191×	body	80	nan
5.0ms	29×	body	640	valid
2.0ms	16×	body	320	valid
1.0ms	17×	body	160	valid
0.0ms	6×	body	80	valid

simplify95.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

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))
0.1b	(* 5.0 (* v v))
0.7b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite25.0ms

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:

2.0ms	(- 1.0 (* 5.0 (* v v)))
10.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
6.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series173.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(- 1.0 (* 5.0 (* v v)))
84.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
25.0ms	(* 5.0 (* v v))
4.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify42.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (33.0ms)

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

prune197.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.7b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
0.0b	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.1b	(* 5.0 (* v v))
0.7b	(acos (log (exp (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

17.0ms	(exp (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
10.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
6.0ms	(* 5.0 (* v v))
1.0ms	(acos (log (exp (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

series255.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(exp (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
89.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
25.0ms	(* 5.0 (* v v))
4.0ms	(acos (log (exp (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

simplify47.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	410	886
1	1464	811
2	5001	805

prune314.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.7b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (log (exp (- 1.0 (* 5.0 (* v v))))) (- (* v v) 1.0))
0.0b	(log (exp (- 1.0 (* 5.0 (* v v)))))
0.1b	(* 5.0 (* v v))
0.7b	(acos (/ (log (exp (- 1.0 (* 5.0 (* v v))))) (- (* v v) 1.0)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
28×	`times-frac`
25×	`add-cube-cbrt` `*-un-lft-identity`
24×	`log-pow`
18×	`exp-prod`
15×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
8×	`difference-of-squares`
7×	`associate-/l*`
5×	`log-prod`
4×	`associate-/r*` `add-log-exp`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`log-div` `exp-diff` `exp-sum` `associate-/r/`
1×	`cbrt-undiv` `acos-asin` `sub-neg` `flip3--` `frac-2neg` `div-sub` `div-exp` `rem-log-exp` `associate-r` `clear-num` `*-commutative` `flip--` `div-inv` `unswap-sqr`

Counts

4 → 99

Calls

4 calls:

20.0ms	(/ (log (exp (- 1.0 (* 5.0 (* v v))))) (- (* v v) 1.0))
5.0ms	(log (exp (- 1.0 (* 5.0 (* v v)))))
6.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (log (exp (- 1.0 (* 5.0 (* v v))))) (- (* v v) 1.0)))

series179.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(/ (log (exp (- 1.0 (* 5.0 (* v v))))) (- (* v v) 1.0))
57.0ms	(log (exp (- 1.0 (* 5.0 (* v v)))))
33.0ms	(* 5.0 (* v v))
4.0ms	(acos (/ (log (exp (- 1.0 (* 5.0 (* v v))))) (- (* v v) 1.0)))

simplify42.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	368	1036
1	1303	902
2	5001	889

prune264.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.7b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (exp (- 1.0 (* 5.0 (* v v)))))
0.0b	(- (/ PI 2) (asin (/ (log (exp (- 1.0 (* 5.0 (* v v))))) (- (* v v) 1.0))))
0.1b	(* 5.0 (* v v))
0.7b	(asin (/ (log (exp (- 1.0 (* 5.0 (* v v))))) (- (* v v) 1.0)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
10×	`pow1`
9×	`add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
7×	`add-cube-cbrt`
6×	`add-log-exp`
5×	`log-prod`
4×	`log-pow`
3×	`exp-prod` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `asin-acos` `exp-sum` `difference-of-squares`
1×	`log-div` `flip3--` `times-frac` `exp-diff` `diff-log` `rem-log-exp` `associate-r` `*-commutative` `flip--` `distribute-lft-out--` `associate--r-` `unswap-sqr`

Counts

4 → 61

Calls

4 calls:

5.0ms	(log (exp (- 1.0 (* 5.0 (* v v)))))
15.0ms	(- (/ PI 2) (asin (/ (log (exp (- 1.0 (* 5.0 (* v v))))) (- (* v v) 1.0))))
6.0ms	(* 5.0 (* v v))
1.0ms	(asin (/ (log (exp (- 1.0 (* 5.0 (* v v))))) (- (* v v) 1.0)))

series121.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(log (exp (- 1.0 (* 5.0 (* v v)))))
31.0ms	(- (/ PI 2) (asin (/ (log (exp (- 1.0 (* 5.0 (* v v))))) (- (* v v) 1.0))))
25.0ms	(* 5.0 (* v v))
4.0ms	(asin (/ (log (exp (- 1.0 (* 5.0 (* v v))))) (- (* v v) 1.0)))

simplify54.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	235	612
1	639	541
2	1783	539
3	5002	539

prune186.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.7b

regimes46.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	9
1	12	9

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.0s	2967×	body	2560	valid
571.0ms	2451×	body	1280	valid
236.0ms	7999×	body	80	nan
221.0ms	1293×	body	640	valid
76.0ms	625×	body	320	valid
37.0ms	435×	body	160	valid
11.0ms	229×	body	80	valid