Details

Time bar (total: 8.7s)

sample87.0ms

Algorithm
intervals
Results
35.0ms267×body80nan
34.0ms256×body80valid

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: 0.4b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 5.0 (* v v))
0.3b
(* PI t)
0.3b
(/ (- 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))))))

rewrite83.0ms

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
(* 5.0 (* v v))
3.0ms
(* PI t)
56.0ms
(/ (- 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))))))

series877.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* 5.0 (* v v))
26.0ms
(* PI t)
626.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
199.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify111.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
07751210
143561050
250011050

prune360.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize43.0ms

Local error

Found 4 expressions with local error:

4.5b
(/ (pow v 4) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
4.5b
(/ (pow v 4) (* t (* (sqrt 2.0) (* (pow (sqrt 1.0) 3) PI))))
7.0b
(/ (pow v 2) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
7.0b
(/ (* (pow v 2) (sqrt 1.0)) (* t (* (sqrt 2.0) PI)))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
185×add-exp-log
93×prod-exp
67×add-cbrt-cube
54×div-exp
27×cbrt-unprod
23×times-frac associate-/l*
20×pow-to-exp pow-exp
18×cbrt-undiv unpow-prod-down
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×sqr-pow
4×pow1 expm1-log1p-u frac-2neg clear-num associate-/r* log1p-expm1-u div-inv add-log-exp
2×unpow2
Counts
4 → 170
Calls
4 calls:
28.0ms
(/ (pow v 4) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
37.0ms
(/ (pow v 4) (* t (* (sqrt 2.0) (* (pow (sqrt 1.0) 3) PI))))
27.0ms
(/ (pow v 2) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
12.0ms
(/ (* (pow v 2) (sqrt 1.0)) (* t (* (sqrt 2.0) PI)))

series965.0ms

Counts
4 → 12
Calls
4 calls:
228.0ms
(/ (pow v 4) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
347.0ms
(/ (pow v 4) (* t (* (sqrt 2.0) (* (pow (sqrt 1.0) 3) PI))))
221.0ms
(/ (pow v 2) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
169.0ms
(/ (* (pow v 2) (sqrt 1.0)) (* t (* (sqrt 2.0) PI)))

simplify41.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
08641731
150011492

prune816.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI t)
0.3b
(/ (- 1.0 (log (exp (* 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))))))
4.6b
(log (exp (* 5.0 (* v v))))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log add-cbrt-cube
18×associate-*r/
16×add-sqr-sqrt *-un-lft-identity
14×pow1
10×add-cube-cbrt prod-exp cbrt-unprod
8×flip3-- sqrt-div associate-/r/ flip--
7×associate-*r*
6×times-frac associate-/l*
5×log-pow add-log-exp
4×cbrt-undiv expm1-log1p-u frac-times div-exp associate-*l* pow-prod-down log1p-expm1-u distribute-lft-out--
3×log-prod
2×associate-*l/ *-commutative associate-/l/ difference-of-squares
1×exp-prod exp-to-pow frac-2neg div-sub rem-log-exp clear-num associate-/r* sqrt-prod div-inv unswap-sqr
Counts
4 → 103
Calls
4 calls:
3.0ms
(* PI t)
63.0ms
(/ (- 1.0 (log (exp (* 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))))))
1.0ms
(log (exp (* 5.0 (* v v))))

series857.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* PI t)
616.0ms
(/ (- 1.0 (log (exp (* 5.0 (* v v))))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
195.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
26.0ms
(log (exp (* 5.0 (* v v))))

simplify103.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (91.0ms)

IterNodesCost
07401430
141791231
250011226

prune392.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 3.0 (* v v))
0.1b
(* 5.0 (* v v))
0.4b
(/ (/ (+ 1.0 (- (* 5.0 (* v v)))) PI) (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
0.4b
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
40×times-frac
36×*-un-lft-identity
28×add-exp-log add-sqr-sqrt add-cbrt-cube
24×add-cube-cbrt
16×pow1 associate-/l*
9×associate-*l* prod-exp cbrt-unprod
8×associate-*r/
7×pow-prod-down
6×cbrt-undiv div-sub div-exp associate-*r* distribute-lft-out
4×expm1-log1p-u sqrt-div log1p-expm1-u add-log-exp
3×*-commutative div-inv unswap-sqr
2×flip3-- associate-/r/ flip--
1×neg-sub0 associate-+r- frac-2neg unsub-neg clear-num associate-/r* sqrt-prod associate-/l/
Counts
4 → 124
Calls
4 calls:
6.0ms
(* 3.0 (* v v))
6.0ms
(* 5.0 (* v v))
23.0ms
(/ (/ (+ 1.0 (- (* 5.0 (* v v)))) PI) (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
11.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series725.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 3.0 (* v v))
35.0ms
(* 5.0 (* v v))
514.0ms
(/ (/ (+ 1.0 (- (* 5.0 (* v v)))) PI) (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
152.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify79.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
07221421
133541265
250021259

prune372.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes90.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02715
12715

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.0s8001×body80valid
975.0ms8025×body80nan