Details

Time bar (total: 5.2s)

sample28.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
8.0ms245×body80nan

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03210
19110
227510
367210
4130310
5173710
6180210
7180210

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* 3.0 PI) (- 1.0 (* v v)))
0.0b
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
0.1b
(* 6.0 (* v v))
1.0b
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
23×pow1
18×associate-*r/ prod-exp cbrt-unprod
14×add-sqr-sqrt
13×flip3-- flip--
12×add-cube-cbrt *-un-lft-identity sqrt-div pow-prod-down
11×associate-*r*
8×frac-times associate-/r/
6×prod-diff
5×distribute-rgt-in distribute-lft-in associate-*l*
4×cbrt-undiv expm1-log1p-u div-exp associate-*l/ log1p-expm1-u add-log-exp
3×times-frac sqrt-prod *-commutative associate-/l*
2×sub-neg
1×frac-2neg clear-num associate-/r* div-inv difference-of-squares unswap-sqr
Counts
4 → 123
Calls
4 calls:
11.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
31.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
7.0ms
(* 6.0 (* v v))
28.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series856.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
288.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
24.0ms
(* 6.0 (* v v))
435.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify129.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (108.0ms)

IterNodesCost
09551468
146961282
250011281

prune515.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (/ 4.0 (* 3.0 PI)) (* (fma v v 1.0) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v)))))))
0.0b
(* (fma v v 1.0) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v))))))
0.0b
(* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v)))))
0.1b
(* 6.0 (* v v))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log add-cbrt-cube
22×associate-*r/
19×add-sqr-sqrt prod-exp cbrt-unprod
18×flip3-- sqrt-div flip--
16×pow1
15×cbrt-undiv div-exp
13×add-cube-cbrt *-un-lft-identity times-frac
12×frac-times
10×associate-*l*
8×associate-*r* associate-/r/
7×pow-prod-down associate-/l*
6×associate-*l/
4×expm1-log1p-u sqrt-prod log1p-expm1-u add-log-exp
3×*-commutative div-inv unswap-sqr
1×frac-2neg clear-num associate-/r* associate-/l/ difference-of-squares
Counts
4 → 136
Calls
4 calls:
21.0ms
(/ (/ 4.0 (* 3.0 PI)) (* (fma v v 1.0) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v)))))))
18.0ms
(* (fma v v 1.0) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v))))))
14.0ms
(* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v)))))
10.0ms
(* 6.0 (* v v))

series844.0ms

Counts
4 → 12
Calls
4 calls:
426.0ms
(/ (/ 4.0 (* 3.0 PI)) (* (fma v v 1.0) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v)))))))
206.0ms
(* (fma v v 1.0) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v))))))
183.0ms
(* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v)))))
29.0ms
(* 6.0 (* v v))

simplify125.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
09951911
147061639
250011639

prune460.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b
(fma 3.0 (/ (pow v 2) (sqrt 2.0)) (fma 4.5 (/ (pow v 4) (pow (sqrt 2.0) 3)) (* (sqrt 2.0) (pow v 2))))
0.2b
(/ (pow v 2) (sqrt 2.0))
0.2b
(* (sqrt 2.0) (pow v 2))
1.0b
(pow (sqrt 2.0) 3)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
57×add-sqr-sqrt
48×times-frac
45×add-cube-cbrt *-un-lft-identity
40×sqrt-prod
32×unpow-prod-down
15×add-exp-log
11×sqr-pow
10×unpow2
9×add-cbrt-cube
8×associate-*r* associate-/l* unswap-sqr
6×pow1 cube-prod associate-*l* associate-/r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-to-exp pow-unpow pow-pow div-exp pow-exp prod-exp
1×cbrt-undiv cube-mult frac-2neg sqrt-pow1 pow1/2 unpow3 clear-num *-commutative sqrt-pow2 cbrt-unprod fma-udef div-inv rem-cube-cbrt
Counts
4 → 158
Calls
4 calls:
0.0ms
(fma 3.0 (/ (pow v 2) (sqrt 2.0)) (fma 4.5 (/ (pow v 4) (pow (sqrt 2.0) 3)) (* (sqrt 2.0) (pow v 2))))
9.0ms
(/ (pow v 2) (sqrt 2.0))
7.0ms
(* (sqrt 2.0) (pow v 2))
2.0ms
(pow (sqrt 2.0) 3)

series482.0ms

Counts
4 → 10
Calls
4 calls:
370.0ms
(fma 3.0 (/ (pow v 2) (sqrt 2.0)) (fma 4.5 (/ (pow v 4) (pow (sqrt 2.0) 3)) (* (sqrt 2.0) (pow v 2))))
67.0ms
(/ (pow v 2) (sqrt 2.0))
45.0ms
(* (sqrt 2.0) (pow v 2))
0.0ms
(pow (sqrt 2.0) 3)

simplify84.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
04151055
12370877
25001869

prune622.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes63.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03727
13727

end0.0ms

sample734.0ms

Algorithm
intervals
Results
289.0ms8000×body80valid
265.0ms8010×body80nan