Details

Time bar (total: 42.6s)

sample30.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
8.0ms234×body80nan

simplify62.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02710
17210
218210
337010
471310
5106610
6120110
7130810
8130810

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
0.0b
(- 1.0 (* 3.0 (* v v)))
0.0b
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.2b
(* 3.0 (* v v))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
26×associate-*l*
23×add-exp-log add-cbrt-cube
22×times-frac
21×add-cube-cbrt *-un-lft-identity
18×frac-times
17×sqrt-prod
16×pow1 sqrt-div
15×flip3-- flip--
11×associate-*r*
10×associate-*r/ prod-exp cbrt-unprod
9×associate-*l/
7×pow-prod-down unswap-sqr
6×add-log-exp
3×sub-neg *-commutative
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp
1×diff-log div-inv difference-of-squares
Counts
4 → 125
Calls
4 calls:
62.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
6.0ms
(- 1.0 (* 3.0 (* v v)))
34.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
16.0ms
(* 3.0 (* v v))

series607.0ms

Counts
4 → 12
Calls
4 calls:
315.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
57.0ms
(- 1.0 (* 3.0 (* v v)))
208.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
26.0ms
(* 3.0 (* v v))

simplify88.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
07721542
134701448
250021446

prune359.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (* (/ (sqrt 2.0) 4.0) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
0.0b
(* (* (/ (sqrt 2.0) 4.0) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))))
0.2b
(* 3.0 (* v v))
0.2b
(* 3.0 (* v v))

rewrite366.0ms

Algorithm
rewrite-expression-head
Rules
192×sqrt-div
98×frac-times
66×flip3-- flip--
49×associate-*l/
37×add-exp-log add-cbrt-cube
34×associate-*r/
28×pow1
20×prod-exp cbrt-unprod
15×associate-*r* pow-prod-down
13×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
9×sqrt-prod
8×associate-*l*
4×*-commutative add-log-exp
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp unswap-sqr
1×difference-of-squares
Counts
4 → 162
Calls
4 calls:
247.0ms
(* (* (* (/ (sqrt 2.0) 4.0) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
76.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))))
16.0ms
(* 3.0 (* v v))
16.0ms
(* 3.0 (* v v))

series574.0ms

Counts
4 → 12
Calls
4 calls:
312.0ms
(* (* (* (/ (sqrt 2.0) 4.0) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
209.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))))
26.0ms
(* 3.0 (* v v))
26.0ms
(* 3.0 (* v v))

simplify61.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
010823416
150012912

prune540.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (log (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (log (- 1.0 (* v v))))
0.0b
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.2b
(* 3.0 (* v v))
2.3b
(log (- 1.0 (* v v)))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
27×*-un-lft-identity
25×associate-*l*
22×add-cube-cbrt times-frac
21×pow1
17×sqrt-prod
15×add-exp-log
14×add-cbrt-cube
9×log-div log-prod
8×sqrt-div log-pow
7×associate-*r* unswap-sqr
6×flip3-- pow-prod-down flip-- distribute-lft-out
5×associate-+l- prod-exp cbrt-unprod
4×frac-times associate-+r+ associate-*r/ add-log-exp
2×associate-+r- associate-*l/ *-commutative difference-of-squares
1×cbrt-undiv +-commutative associate-+l+ flip3-+ div-exp rem-log-exp sum-log flip-+ div-inv
Counts
4 → 115
Calls
4 calls:
81.0ms
(+ (log (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (log (- 1.0 (* v v))))
31.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
16.0ms
(* 3.0 (* v v))
8.0ms
(log (- 1.0 (* v v)))

series1.1s

Counts
4 → 12
Calls
4 calls:
590.0ms
(+ (log (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (log (- 1.0 (* v v))))
339.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
25.0ms
(* 3.0 (* v v))
108.0ms
(log (- 1.0 (* v v)))

simplify73.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
07601331
129681261
250011259

prune414.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.6s

Algorithm
rewrite-expression-head
Rules
21276×sqrt-div
11665×frac-times
5832×flip3-- flip--
4481×associate-*l/
2861×associate-*r/
286×pow1
183×pow-prod-down
104×sqrt-pow1
26×pow-prod-up
21×add-exp-log add-cbrt-cube
18×pow-sqr
16×add-sqr-sqrt
14×pow1/2
13×associate-*l*
11×add-cube-cbrt *-un-lft-identity
10×prod-exp cbrt-unprod
7×associate-*r*
4×swap-sqr sqrt-prod *-commutative add-log-exp unswap-sqr
1×pow2 pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 3061
Calls
4 calls:
16.0ms
(* 3.0 (* v v))
17.0ms
(* 3.0 (* v v))
16.0ms
(* 3.0 (* v v))
1.7s
(* (sqrt (* (* (* (/ (sqrt 2.0) 4.0) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))) (sqrt (* (* (* (/ (sqrt 2.0) 4.0) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))))

series468.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* 3.0 (* v v))
25.0ms
(* 3.0 (* v v))
26.0ms
(* 3.0 (* v v))
391.0ms
(* (sqrt (* (* (* (/ (sqrt 2.0) 4.0) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))) (sqrt (* (* (* (/ (sqrt 2.0) 4.0) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))))

simplify1.9s

Algorithm
egg-herbie
Counts
3073 → 3073
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05001241985

prune32.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes28.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02013
12013

end0.0ms

sample778.0ms

Algorithm
intervals
Results
275.0ms8000×body80valid
259.0ms7921×body80nan