Details

Time bar (total: 7.7s)

sample37.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
10.0ms222×body80nan

simplify75.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04414
116514
284614
3397414
4500114

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(* PI t)
0.2b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
0.5b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log add-cbrt-cube
18×associate-*r/
16×pow1
13×add-sqr-sqrt prod-exp cbrt-unprod
10×add-cube-cbrt *-un-lft-identity
8×flip3-- sqrt-div associate-*r* associate-/r/ flip--
7×associate-*l* pow-prod-down
4×cbrt-undiv expm1-log1p-u frac-times div-exp log1p-expm1-u add-log-exp
3×times-frac *-commutative associate-/l*
2×associate-*l/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 102
Calls
4 calls:
6.0ms
(* 3.0 (* v v))
3.0ms
(* PI t)
58.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
14.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series818.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 3.0 (* v v))
19.0ms
(* PI t)
588.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
186.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify108.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
07731205
143311050
250011050

prune342.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* v v) (* v v))
0.2b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- (pow 1.0 3) (pow (* v v) 3))))
0.2b
(* PI t)
0.5b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
122×pow1
37×add-exp-log add-cbrt-cube
36×pow-prod-up
27×pow-prod-down
22×pow-sqr
18×pow-plus associate-*r/ prod-exp cbrt-unprod
13×pow2
11×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity
8×flip3-- sqrt-div associate-*r* associate-/r/ flip--
5×associate-*l*
4×cbrt-undiv expm1-log1p-u frac-times div-exp log1p-expm1-u add-log-exp
3×times-frac *-commutative associate-/l*
2×associate-*l/ associate-/l/ unswap-sqr
1×frac-2neg div-sub swap-sqr clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 146
Calls
4 calls:
12.0ms
(* (* v v) (* v v))
65.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- (pow 1.0 3) (pow (* v v) 3))))
3.0ms
(* PI t)
15.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series779.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (* v v) (* v v))
540.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- (pow 1.0 3) (pow (* v v) 3))))
19.0ms
(* PI t)
190.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify123.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (103.0ms)

IterNodesCost
08281306
145621120
250011119

prune493.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* v v) (* v v))
0.2b
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- (pow 1.0 3) (pow (* v v) 3))))
0.3b
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
0.5b
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite169.0ms

Algorithm
rewrite-expression-head
Rules
122×pow1
37×add-exp-log add-cbrt-cube
36×pow-prod-up
30×associate-*r/
27×pow-prod-down
22×pow-sqr
18×pow-plus prod-exp cbrt-unprod
13×pow2
11×add-sqr-sqrt
10×sqrt-div
9×add-cube-cbrt flip3-- *-un-lft-identity flip--
8×associate-/r/
7×associate-*l*
6×associate-*r*
4×cbrt-undiv expm1-log1p-u frac-times div-exp log1p-expm1-u add-log-exp
3×times-frac *-commutative associate-/l*
2×associate-*l/ associate-/l/ unswap-sqr
1×frac-2neg div-sub swap-sqr clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 148
Calls
4 calls:
13.0ms
(* (* v v) (* v v))
109.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- (pow 1.0 3) (pow (* v v) 3))))
27.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
14.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series903.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (* v v) (* v v))
536.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- (pow 1.0 3) (pow (* v v) 3))))
185.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
152.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify119.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
08531457
144691265
250011264

prune511.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (* v v) 3)
0.2b
(* (* v v) (* v v))
0.4b
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))) (* t (fma (pow 1.0 3) (pow 1.0 3) (- (pow (pow v 2) 6))))))
0.5b
(* (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))) (* t (fma (pow 1.0 3) (pow 1.0 3) (- (pow (pow v 2) 6)))))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
128×pow1
45×add-exp-log add-cbrt-cube
37×pow-prod-up
31×times-frac
27×pow-prod-down
23×pow-sqr
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
19×pow-plus
18×prod-exp cbrt-unprod
14×pow2
13×associate-/l*
9×cbrt-undiv div-exp
6×pow-pow
5×associate-*l*
4×distribute-rgt-in expm1-log1p-u distribute-lft-in sqrt-div associate-*r/ associate-*l/ fma-udef log1p-expm1-u add-log-exp
3×pow-unpow div-inv
2×flip3-- div-sub associate-*r* pow-exp associate-/r/ *-commutative flip-- rem-cube-cbrt
1×cube-mult pow-to-exp unpow-prod-down frac-2neg unpow3 cube-prod swap-sqr clear-num associate-/r* sqrt-prod associate-/l/ unswap-sqr sqr-pow
Counts
4 → 175
Calls
4 calls:
3.0ms
(pow (* v v) 3)
13.0ms
(* (* v v) (* v v))
57.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))) (* t (fma (pow 1.0 3) (pow 1.0 3) (- (pow (pow v 2) 6))))))
48.0ms
(* (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))) (* t (fma (pow 1.0 3) (pow 1.0 3) (- (pow (pow v 2) 6)))))

series652.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(pow (* v v) 3)
36.0ms
(* (* v v) (* v v))
384.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))) (* t (fma (pow 1.0 3) (pow 1.0 3) (- (pow (pow v 2) 6))))))
192.0ms
(* (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))) (* t (fma (pow 1.0 3) (pow 1.0 3) (- (pow (pow v 2) 6)))))

simplify105.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
08062199
135561859
250011853

prune884.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes150.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05647
15647

end0.0ms

sample1.0s

Algorithm
intervals
Results
400.0ms8000×body80valid
371.0ms8192×body80nan