Details

Time bar (total: 11.5s)

sample29.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
8.0ms254×body80nan

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03210
19110
227510
367210
4130310
5173710
6180210
7180210

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize11.0ms

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)))))
0.2b
(* 6.0 (* v v))
1.0b
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite86.0ms

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)))
32.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
6.0ms
(* 6.0 (* v v))
32.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series817.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
271.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
28.0ms
(* 6.0 (* v v))
417.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify116.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
09551468
146961282
250011281

prune290.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

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
(* (/ (/ 4.0 (* 3.0 PI)) (* (fma v v 1.0) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v))))))) (+ 1.0 (* v v)))
0.2b
(* 6.0 (* v v))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
97×add-exp-log add-cbrt-cube
40×prod-exp cbrt-unprod
32×associate-*r/
30×cbrt-undiv div-exp
25×associate-*l*
23×times-frac
18×flip3-- sqrt-div flip--
17×add-sqr-sqrt
16×pow1 associate-/r/
14×frac-times add-cube-cbrt *-un-lft-identity
7×pow-prod-down associate-*l/ associate-/l*
5×associate-*r* div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative
2×flip3-+ flip-+ unswap-sqr
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num associate-/r* associate-/l/
Counts
4 → 164
Calls
4 calls:
23.0ms
(/ (/ 4.0 (* 3.0 PI)) (* (fma v v 1.0) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v)))))))
19.0ms
(* (fma v v 1.0) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v))))))
84.0ms
(* (/ (/ 4.0 (* 3.0 PI)) (* (fma v v 1.0) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v))))))) (+ 1.0 (* v v)))
6.0ms
(* 6.0 (* v v))

series1.1s

Counts
4 → 12
Calls
4 calls:
408.0ms
(/ (/ 4.0 (* 3.0 PI)) (* (fma v v 1.0) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v)))))))
203.0ms
(* (fma v v 1.0) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v))))))
484.0ms
(* (/ (/ 4.0 (* 3.0 PI)) (* (fma v v 1.0) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v))))))) (+ 1.0 (* v v)))
24.0ms
(* 6.0 (* v v))

simplify54.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
013672814
150022402

prune554.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (fma v v 1.0) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v))))))
0.0b
(* (/ (/ (sqrt 4.0) 3.0) (/ (* (fma v v 1.0) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v)))))) (/ (sqrt 4.0) PI))) (+ 1.0 (* v v)))
0.0b
(/ (/ (sqrt 4.0) 3.0) (/ (* (fma v v 1.0) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v)))))) (/ (sqrt 4.0) PI)))
0.2b
(* 6.0 (* v v))

rewrite447.0ms

Algorithm
rewrite-expression-head
Rules
3983×times-frac
1367×add-sqr-sqrt
1353×add-cube-cbrt *-un-lft-identity
901×sqrt-prod
605×associate-*l*
160×add-exp-log add-cbrt-cube
147×div-inv
78×cbrt-undiv div-exp
47×associate-/r/
45×prod-exp cbrt-unprod
27×associate-/r*
22×associate-/l*
16×pow1
12×associate-*r/
7×pow-prod-down
6×frac-times flip3-- sqrt-div flip--
5×associate-*r* unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*l/ *-commutative
2×flip3-+ flip-+
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num associate-/l/
Counts
4 → 1388
Calls
4 calls:
19.0ms
(* (fma v v 1.0) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v))))))
240.0ms
(* (/ (/ (sqrt 4.0) 3.0) (/ (* (fma v v 1.0) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v)))))) (/ (sqrt 4.0) PI))) (+ 1.0 (* v v)))
37.0ms
(/ (/ (sqrt 4.0) 3.0) (/ (* (fma v v 1.0) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v)))))) (/ (sqrt 4.0) PI)))
7.0ms
(* 6.0 (* v v))

series1.5s

Counts
4 → 12
Calls
4 calls:
207.0ms
(* (fma v v 1.0) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v))))))
681.0ms
(* (/ (/ (sqrt 4.0) 3.0) (/ (* (fma v v 1.0) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v)))))) (/ (sqrt 4.0) PI))) (+ 1.0 (* v v)))
559.0ms
(/ (/ (sqrt 4.0) 3.0) (/ (* (fma v v 1.0) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v)))))) (/ (sqrt 4.0) PI)))
24.0ms
(* 6.0 (* v v))

simplify282.0ms

Algorithm
egg-herbie
Counts
1400 → 1400
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
0500130626

prune5.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes72.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02718
12718

end0.0ms

sample740.0ms

Algorithm
intervals
Results
293.0ms8000×body80valid
273.0ms8120×body80nan