Details

Time bar (total: 42.0s)

sample32.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
8.0ms234×body80nan

simplify82.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02710
17210
219410
341610
481610
5120710
6136810
7150510
8151110
9151110

prune2.0ms

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))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
26×associate-*l*
25×add-cube-cbrt *-un-lft-identity
23×add-exp-log add-cbrt-cube
22×times-frac
18×frac-times
17×sqrt-prod
16×pow1 sqrt-div
15×flip3-- flip--
11×associate-*r*
10×associate-*r/ prod-exp cbrt-unprod
9×prod-diff associate-*l/
7×pow-prod-down unswap-sqr
6×add-log-exp
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u log1p-expm1-u
3×sub-neg fma-neg *-commutative
2×cbrt-undiv div-exp
1×diff-log div-inv difference-of-squares
Counts
4 → 145
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)))
32.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
16.0ms
(* 3.0 (* v v))

series566.0ms

Counts
4 → 12
Calls
4 calls:
291.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
55.0ms
(- 1.0 (* 3.0 (* v v)))
195.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
25.0ms
(* 3.0 (* v v))

simplify95.0ms

Algorithm
egg-herbie
Counts
157 → 157
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
08431772
138871651
250011648

prune392.0ms

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))

rewrite362.0ms

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×add-sqr-sqrt associate-*r* pow-prod-down
12×add-cube-cbrt *-un-lft-identity
9×sqrt-prod
8×associate-*l*
6×prod-diff
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
2×cbrt-undiv sub-neg div-exp unswap-sqr
1×difference-of-squares
Counts
4 → 176
Calls
4 calls:
245.0ms
(* (* (* (/ (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)))
75.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))))
15.0ms
(* 3.0 (* v v))
15.0ms
(* 3.0 (* v v))

series549.0ms

Counts
4 → 12
Calls
4 calls:
299.0ms
(* (* (* (/ (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)))
194.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))))
30.0ms
(* 3.0 (* v v))
26.0ms
(* 3.0 (* v v))

simplify63.0ms

Algorithm
egg-herbie
Counts
188 → 188
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
011393714
150023120

prune557.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize20.0ms

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)))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
28×*-un-lft-identity
25×associate-*l*
24×pow1
23×add-cube-cbrt
22×times-frac
17×sqrt-prod
15×add-exp-log
14×add-cbrt-cube
10×log-pow
9×log-div log-prod
8×sqrt-div
7×associate-*r* pow-prod-down unswap-sqr
6×flip3-- flip-- distribute-lft-out
5×associate-+l- fma-def prod-exp cbrt-unprod
4×expm1-log1p-u frac-times associate-+r+ associate-*r/ log1p-expm1-u 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 → 128
Calls
4 calls:
89.0ms
(+ (log (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (log (- 1.0 (* v v))))
33.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
16.0ms
(* 3.0 (* v v))
5.0ms
(log (- 1.0 (* v v)))

series935.0ms

Counts
4 → 12
Calls
4 calls:
600.0ms
(+ (log (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (log (- 1.0 (* v v))))
195.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
25.0ms
(* 3.0 (* v v))
115.0ms
(log (- 1.0 (* v v)))

simplify85.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
07961373
131231302
250011298

prune498.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

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)))))

rewrite2.5s

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×expm1-log1p-u swap-sqr sqrt-prod *-commutative log1p-expm1-u add-log-exp unswap-sqr
1×pow2 pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 3069
Calls
4 calls:
15.0ms
(* 3.0 (* v v))
15.0ms
(* 3.0 (* v v))
18.0ms
(* 3.0 (* v v))
1.6s
(* (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)))))

series460.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* 3.0 (* v v))
24.0ms
(* 3.0 (* v v))
26.0ms
(* 3.0 (* v v))
377.0ms
(* (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)))))

simplify2.1s

Algorithm
egg-herbie
Counts
3081 → 3081
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05001245156

prune31.5s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes23.0ms

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

sample737.0ms

Algorithm
intervals
Results
262.0ms8000×body80valid
251.0ms7921×body80nan