Details

sample78.0ms

Algorithm

intervals

Results

31.0ms	97×	body	2560	valid
18.0ms	87×	body	1280	valid
6.0ms	234×	body	80	nan
6.0ms	36×	body	640	valid
2.0ms	16×	body	320	valid
1.0ms	11×	body	160	valid
0.0ms	9×	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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

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))
0.2b	(* 5.0 (* v v))
0.6b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite50.0ms

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:

5.0ms	(- 1.0 (* 5.0 (* v v)))
26.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
16.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series169.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(- 1.0 (* 5.0 (* v v)))
80.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
26.0ms	(* 5.0 (* v v))
4.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify40.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (33.0ms)

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

prune181.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* v v) 1.0)
0.0b	(* (/ (- 1.0 (* 5.0 (* v v))) (+ (- (* 1.0 1.0)) (pow v 4))) (+ (* v v) 1.0))
0.2b	(* 5.0 (* v v))
0.6b	(acos (* (/ (- 1.0 (* 5.0 (* v v))) (+ (- (* 1.0 1.0)) (pow v 4))) (+ (* v v) 1.0)))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

21×	`associate-l`
20×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
13×	`times-frac`
11×	`pow1`
6×	`add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`flip3-+` `associate-r` `pow-prod-down` `flip-+`
3×	`distribute-lft-out` `unswap-sqr`
2×	`frac-times` `associate-r/` `associate-/r/` `-commutative`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `acos-asin` `distribute-lft-in` `div-exp` `associate-*l/` `sum-log` `div-inv`

Counts

4 → 81

Calls

4 calls:

7.0ms	(+ (* v v) 1.0)
76.0ms	(* (/ (- 1.0 (* 5.0 (* v v))) (+ (- (* 1.0 1.0)) (pow v 4))) (+ (* v v) 1.0))
16.0ms	(* 5.0 (* v v))
2.0ms	(acos (* (/ (- 1.0 (* 5.0 (* v v))) (+ (- (* 1.0 1.0)) (pow v 4))) (+ (* v v) 1.0)))

series186.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ (* v v) 1.0)
121.0ms	(* (/ (- 1.0 (* 5.0 (* v v))) (+ (- (* 1.0 1.0)) (pow v 4))) (+ (* v v) 1.0))
25.0ms	(* 5.0 (* v v))
8.0ms	(acos (* (/ (- 1.0 (* 5.0 (* v v))) (+ (- (* 1.0 1.0)) (pow v 4))) (+ (* v v) 1.0)))

simplify89.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	546	953
1	2629	838
2	5002	773

prune242.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (* (- (* 5.0 5.0)) (pow v 4)) (* 1.0 1.0)) (+ 1.0 (* 5.0 (* v v))))
0.1b	(* (- (* 5.0 5.0)) (pow v 4))
0.2b	(* 5.0 (* v v))
0.6b	(acos (/ (/ (+ (* (- (* 5.0 5.0)) (pow v 4)) (* 1.0 1.0)) (+ 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
16×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity`
13×	`add-cbrt-cube`
9×	`pow1` `times-frac` `associate-l`
8×	`associate-r`
6×	`prod-exp`
4×	`unpow-prod-down` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `associate-/r` `associate-/l`
2×	`flip3-+` `associate-/r/` `*-commutative` `flip-+` `associate-/l/` `sqr-pow`
1×	`cbrt-undiv` `distribute-lft-neg-out` `distribute-lft-neg-in` `acos-asin` `pow-to-exp` `neg-mul-1` `distribute-rgt-neg-in` `frac-2neg` `div-exp` `pow-exp` `clear-num` `div-inv`

Counts

4 → 87

Calls

4 calls:

32.0ms	(/ (+ (* (- (* 5.0 5.0)) (pow v 4)) (* 1.0 1.0)) (+ 1.0 (* 5.0 (* v v))))
17.0ms	(* (- (* 5.0 5.0)) (pow v 4))
16.0ms	(* 5.0 (* v v))
2.0ms	(acos (/ (/ (+ (* (- (* 5.0 5.0)) (pow v 4)) (* 1.0 1.0)) (+ 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)))

series227.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(/ (+ (* (- (* 5.0 5.0)) (pow v 4)) (* 1.0 1.0)) (+ 1.0 (* 5.0 (* v v))))
38.0ms	(* (- (* 5.0 5.0)) (pow v 4))
28.0ms	(* 5.0 (* v v))
9.0ms	(acos (/ (/ (+ (* (- (* 5.0 5.0)) (pow v 4)) (* 1.0 1.0)) (+ 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)))

simplify64.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	420	956
1	2047	850
2	5001	835

prune255.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

1.0ms	(log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
22.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
18.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series188.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
80.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
26.0ms	(* 5.0 (* v v))
4.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify38.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	350	761
1	1287	683
2	5002	679

prune209.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.5b

regimes120.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	14
1	30	14
2	31	14
3	31	14

end0.0ms

sample2.3s

Algorithm

intervals

Results

962.0ms	2951×	body	2560	valid
538.0ms	2518×	body	1280	valid
206.0ms	7921×	body	80	nan
190.0ms	1258×	body	640	valid
74.0ms	635×	body	320	valid
34.0ms	431×	body	160	valid
10.0ms	207×	body	80	valid