Details

Time bar (total: 6.0s)

sample30.0ms

Algorithm
intervals
Results
9.0ms265×body80nan
9.0ms256×body80valid

simplify80.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02710
17210
219410
341610
481610
5120710
6136810
7150510
8151110
9151110

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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 (- 1.0 (* 3.0 (* v v))))
0.0b
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
0.0b
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.2b
(* 3.0 (* v v))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
26×associate-*l*
24×add-cube-cbrt *-un-lft-identity
23×add-exp-log add-cbrt-cube
22×times-frac
20×sqrt-prod
18×frac-times sqrt-div
17×pow1
15×flip3-- flip--
11×associate-*r*
10×associate-*r/ prod-exp cbrt-unprod
9×associate-*l/
7×pow-prod-down unswap-sqr
6×prod-diff
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative
2×cbrt-undiv sub-neg div-exp
1×rem-sqrt-square sqrt-pow1 pow1/2 div-inv difference-of-squares
Counts
4 → 142
Calls
4 calls:
3.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
32.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
21.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
7.0ms
(* 3.0 (* v v))

series632.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
318.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
206.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
26.0ms
(* 3.0 (* v v))

simplify100.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
08711794
139911686
250011684

prune425.0ms

Filtered
154 candidates to 111 candidates (72.1%)
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
(* (/ (cbrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.0b
(* (* (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (* (/ (cbrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
0.0b
(* (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (* (/ (cbrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))
0.2b
(* 3.0 (* v v))

rewrite233.0ms

Algorithm
rewrite-expression-head
Rules
145×add-exp-log
83×prod-exp
78×add-cbrt-cube
60×frac-times
55×add-sqr-sqrt
51×cbrt-unprod
42×associate-*l*
40×associate-*r/
36×times-frac sqrt-div
35×div-exp
31×add-cube-cbrt *-un-lft-identity
30×flip3-- flip--
25×pow1
24×associate-*l/
22×cbrt-prod
19×cbrt-undiv
18×sqrt-prod
13×pow-prod-down
12×1-exp associate-*r*
9×unswap-sqr
6×prod-diff
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
2×sub-neg div-inv
1×difference-of-squares
Counts
4 → 230
Calls
4 calls:
26.0ms
(* (/ (cbrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
145.0ms
(* (* (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (* (/ (cbrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
42.0ms
(* (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (* (/ (cbrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))
7.0ms
(* 3.0 (* v v))

series927.0ms

Counts
4 → 12
Calls
4 calls:
339.0ms
(* (/ (cbrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
329.0ms
(* (* (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (* (/ (cbrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
232.0ms
(* (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (* (/ (cbrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))
27.0ms
(* 3.0 (* v v))

simplify64.0ms

Algorithm
egg-herbie
Counts
242 → 242
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
014714379
150023657

prune709.0ms

Filtered
242 candidates to 154 candidates (63.6%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite211.0ms

Algorithm
rewrite-expression-head
Rules
87×sqrt-div
77×sqrt-prod
60×add-sqr-sqrt frac-times
54×associate-*l*
40×times-frac associate-*r/
38×add-cube-cbrt *-un-lft-identity
30×pow1 flip3-- flip--
25×add-exp-log add-cbrt-cube
24×associate-*l/
19×pow-prod-down
13×prod-exp cbrt-unprod
12×associate-*r*
9×unswap-sqr
6×prod-diff
5×distribute-rgt-in distribute-lft-in sqrt-pow1 pow1/2
4×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
3×sqrt-unprod
2×sub-neg div-inv
1×difference-of-squares
Counts
4 → 206
Calls
4 calls:
23.0ms
(* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (- 1.0 (* 3.0 (* v v)))))
126.0ms
(* (* (sqrt (/ (sqrt 2.0) 4.0)) (* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
6.0ms
(* 3.0 (* v v))
44.0ms
(* (sqrt (/ (sqrt 2.0) 4.0)) (* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (- 1.0 (* 3.0 (* v v))))))

series967.0ms

Counts
4 → 12
Calls
4 calls:
270.0ms
(* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (- 1.0 (* 3.0 (* v v)))))
421.0ms
(* (* (sqrt (/ (sqrt 2.0) 4.0)) (* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
24.0ms
(* 3.0 (* v v))
251.0ms
(* (sqrt (/ (sqrt 2.0) 4.0)) (* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (- 1.0 (* 3.0 (* v v))))))

simplify64.0ms

Algorithm
egg-herbie
Counts
218 → 218
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
011993317
150013023

prune680.0ms

Filtered
218 candidates to 161 candidates (73.9%)
Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes29.0ms

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
02517
12517

end0.0ms

sample718.0ms

Algorithm
intervals
Results
284.0ms8000×body80valid
263.0ms7763×body80nan