Details

Time bar (total: 4.9s)

sample82.0ms

Algorithm
intervals
Results
32.0ms92×body2560valid
21.0ms80×body1280valid
7.0ms46×body640valid
7.0ms245×body80nan
2.0ms18×body320valid
1.0ms14×body160valid
0.0ms6×body80valid

simplify97.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0207
1437
2847
31557
42627
54547
628787
750017

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize8.0ms

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)))

rewrite19.0ms

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×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u 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 → 69
Calls
3 calls:
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)))

series109.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
24.0ms
(* 5.0 (* v v))
3.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify44.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0349623
11288567
25001565

prune176.0ms

Filtered
78 candidates to 61 candidates (78.2%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.6b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
0.0b
(expm1 (log1p (acos (/ (- 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)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
6×add-sqr-sqrt
5×expm1-log1p-u add-cube-cbrt *-un-lft-identity
4×log1p-expm1-u add-log-exp
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
1×acos-asin log1p-udef expm1-log1p log1p-expm1 associate-*r* *-commutative expm1-udef unswap-sqr
Counts
4 → 53
Calls
4 calls:
0.0ms
(log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
0.0ms
(expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
7.0ms
(* 5.0 (* v v))
1.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series243.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
125.0ms
(expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
28.0ms
(* 5.0 (* v v))
3.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify110.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
0152473
1385408
2992406
33312406
45001406

prune145.0ms

Filtered
65 candidates to 41 candidates (63.1%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.6b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 1.0 (* 5.0 (* v v))) (- v (sqrt 1.0)))
0.0b
(/ 1 (+ v (sqrt 1.0)))
0.2b
(* 5.0 (* v v))
1.6b
(acos (* (/ 1 (+ v (sqrt 1.0))) (/ (- 1.0 (* 5.0 (* v v))) (- v (sqrt 1.0)))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
41×*-un-lft-identity
30×times-frac
25×add-cube-cbrt
15×add-exp-log
13×add-cbrt-cube
10×pow1 associate-/r*
8×difference-of-squares
6×associate-/l*
4×expm1-log1p-u sqrt-prod associate-/r/ log1p-expm1-u distribute-lft-out distribute-lft-out-- add-log-exp
3×div-exp associate-*l* pow-prod-down prod-exp cbrt-unprod
2×cbrt-undiv flip3-- frac-2neg clear-num flip-- div-inv associate-/l/
1×acos-asin rec-exp pow-flip flip3-+ 1-exp div-sub associate-*r* *-commutative flip-+ inv-pow unswap-sqr
Counts
4 → 116
Calls
4 calls:
15.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- v (sqrt 1.0)))
7.0ms
(/ 1 (+ v (sqrt 1.0)))
6.0ms
(* 5.0 (* v v))
1.0ms
(acos (* (/ 1 (+ v (sqrt 1.0))) (/ (- 1.0 (* 5.0 (* v v))) (- v (sqrt 1.0)))))

series186.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- v (sqrt 1.0)))
52.0ms
(/ 1 (+ v (sqrt 1.0)))
25.0ms
(* 5.0 (* v v))
12.0ms
(acos (* (/ 1 (+ v (sqrt 1.0))) (/ (- 1.0 (* 5.0 (* v v))) (- v (sqrt 1.0)))))

simplify57.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05051059
12146967
25001945

prune300.0ms

Filtered
128 candidates to 83 candidates (64.8%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.6b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ v (sqrt 1.0)))
0.0b
(expm1 (log1p (acos (* (/ 1 (+ v (sqrt 1.0))) (/ (- 1.0 (* 5.0 (* v v))) (- v (sqrt 1.0)))))))
0.2b
(* 5.0 (* v v))
1.6b
(acos (* (/ 1 (+ v (sqrt 1.0))) (/ (- 1.0 (* 5.0 (* v v))) (- v (sqrt 1.0)))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
15×add-sqr-sqrt
14×add-cube-cbrt
13×add-exp-log
12×times-frac
11×add-cbrt-cube
10×pow1
4×expm1-log1p-u associate-/r* log1p-expm1-u distribute-lft-out add-log-exp
3×associate-*l* pow-prod-down prod-exp cbrt-unprod associate-/l*
2×div-exp associate-/r/
1×cbrt-undiv acos-asin rec-exp expm1-log1p pow-flip frac-2neg flip3-+ 1-exp associate-*r* clear-num *-commutative flip-+ div-inv inv-pow expm1-udef unswap-sqr
Counts
4 → 81
Calls
4 calls:
7.0ms
(/ 1 (+ v (sqrt 1.0)))
0.0ms
(expm1 (log1p (acos (* (/ 1 (+ v (sqrt 1.0))) (/ (- 1.0 (* 5.0 (* v v))) (- v (sqrt 1.0)))))))
6.0ms
(* 5.0 (* v v))
1.0ms
(acos (* (/ 1 (+ v (sqrt 1.0))) (/ (- 1.0 (* 5.0 (* v v))) (- v (sqrt 1.0)))))

series298.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(/ 1 (+ v (sqrt 1.0)))
216.0ms
(expm1 (log1p (acos (* (/ 1 (+ v (sqrt 1.0))) (/ (- 1.0 (* 5.0 (* v v))) (- v (sqrt 1.0)))))))
24.0ms
(* 5.0 (* v v))
11.0ms
(acos (* (/ 1 (+ v (sqrt 1.0))) (/ (- 1.0 (* 5.0 (* v v))) (- v (sqrt 1.0)))))

simplify121.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0297699
11138615
24506592
35001592

prune239.0ms

Filtered
93 candidates to 60 candidates (64.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.6b

regimes121.0ms

Accuracy

0% (0.3b remaining)

Error of 0.9b against oracle of 0.5b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02113
12113

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.1s3068×body2560valid
565.0ms2476×body1280valid
231.0ms8249×body80nan
205.0ms1225×body640valid
72.0ms605×body320valid
35.0ms417×body160valid
10.0ms209×body80valid