Details

Time bar (total: 8.7s)

sample35.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
9.0ms224×body80nan

simplify78.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04414
116514
284614
3397414
4500114

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite81.0ms

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))
55.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
3.0ms
(* PI t)
14.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series801.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* 5.0 (* v v))
568.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
22.0ms
(* PI t)
187.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify105.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07751210
143561050
250011050

prune348.0ms

Filtered
114 candidates to 80 candidates (70.2%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite193.0ms

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))
141.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3))))) (- (* 1.0 1.0) (* (* v v) (* v v)))))
3.0ms
(* PI t)
39.0ms
(* (* PI t) (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))

series653.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* 5.0 (* v v))
380.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3))))) (- (* 1.0 1.0) (* (* v v) (* v v)))))
19.0ms
(* PI t)
223.0ms
(* (* PI t) (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))

simplify114.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (99.0ms)

IterNodesCost
07341463
142041243
250021242

prune565.0ms

Filtered
114 candidates to 80 candidates (70.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.3b
(* PI t)
0.3b
(/ (- 1.0 (* 5.0 (* v v))) (* PI t))
0.5b
(/ (/ (- 1.0 (* 5.0 (* v v))) (* PI t)) (* (* (sqrt (* 2.0 (- (* (pow 1.0 3) (pow 1.0 3)) (* (pow (* 3.0 (* v v)) 3) (pow (* 3.0 (* v v)) 3))))) (fma 1.0 1.0 (pow v 4))) (- (* 1.0 1.0) (* (* v v) (* v v)))))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log add-cbrt-cube
17×cbrt-undiv div-exp prod-exp cbrt-unprod
16×add-sqr-sqrt times-frac
13×add-cube-cbrt *-un-lft-identity
11×pow1
10×associate-/l*
8×associate-*r/ associate-*l/ associate-/r/
7×flip3-- flip--
6×sqrt-div associate-*l*
4×expm1-log1p-u frac-times associate-*r* pow-prod-down log1p-expm1-u div-inv add-log-exp
3×div-sub associate-/l/
2×frac-2neg clear-num associate-/r* *-commutative unswap-sqr
Counts
4 → 122
Calls
4 calls:
6.0ms
(* 5.0 (* v v))
3.0ms
(* PI t)
7.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* PI t))
108.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (* PI t)) (* (* (sqrt (* 2.0 (- (* (pow 1.0 3) (pow 1.0 3)) (* (pow (* 3.0 (* v v)) 3) (pow (* 3.0 (* v v)) 3))))) (fma 1.0 1.0 (pow v 4))) (- (* 1.0 1.0) (* (* v v) (* v v)))))

series549.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* 5.0 (* v v))
20.0ms
(* PI t)
84.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* PI t))
412.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (* PI t)) (* (* (sqrt (* 2.0 (- (* (pow 1.0 3) (pow 1.0 3)) (* (pow (* 3.0 (* v v)) 3) (pow (* 3.0 (* v v)) 3))))) (fma 1.0 1.0 (pow v 4))) (- (* 1.0 1.0) (* (* v v) (* v v)))))

simplify130.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
08322551
145032041
250012041

prune877.0ms

Filtered
134 candidates to 87 candidates (64.9%)
Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 3.0 (* v v))
0.2b
(* 5.0 (* v v))
0.2b
(* 5.0 (* v v))
0.3b
(* (/ (/ (sqrt (- 1.0 (* 5.0 (* v v)))) PI) (* (sqrt (* 2.0 (- (* (pow 1.0 3) (pow 1.0 3)) (* (pow (* 3.0 (* v v)) 3) (pow (* 3.0 (* v v)) 3))))) (fma 1.0 1.0 (pow v 4)))) (/ (/ (sqrt (- 1.0 (* 5.0 (* v v)))) t) (- (* 1.0 1.0) (* (* v v) (* v v)))))

rewrite229.0ms

Algorithm
rewrite-expression-head
Rules
205×times-frac
112×add-sqr-sqrt
97×associate-*r*
96×add-cube-cbrt *-un-lft-identity
88×add-exp-log add-cbrt-cube
46×sqrt-prod
37×associate-*l*
33×cbrt-undiv div-exp
30×prod-exp cbrt-unprod
22×difference-of-squares
21×pow1
10×pow-prod-down
7×div-inv unswap-sqr
4×expm1-log1p-u associate-/r/ *-commutative log1p-expm1-u add-log-exp
3×associate-*r/ associate-*l/
2×flip3-- sqrt-div flip--
1×frac-times
Counts
4 → 233
Calls
4 calls:
6.0ms
(* 3.0 (* v v))
7.0ms
(* 5.0 (* v v))
6.0ms
(* 5.0 (* v v))
194.0ms
(* (/ (/ (sqrt (- 1.0 (* 5.0 (* v v)))) PI) (* (sqrt (* 2.0 (- (* (pow 1.0 3) (pow 1.0 3)) (* (pow (* 3.0 (* v v)) 3) (pow (* 3.0 (* v v)) 3))))) (fma 1.0 1.0 (pow v 4)))) (/ (/ (sqrt (- 1.0 (* 5.0 (* v v)))) t) (- (* 1.0 1.0) (* (* v v) (* v v)))))

series494.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 3.0 (* v v))
24.0ms
(* 5.0 (* v v))
24.0ms
(* 5.0 (* v v))
421.0ms
(* (/ (/ (sqrt (- 1.0 (* 5.0 (* v v)))) PI) (* (sqrt (* 2.0 (- (* (pow 1.0 3) (pow 1.0 3)) (* (pow (* 3.0 (* v v)) 3) (pow (* 3.0 (* v v)) 3))))) (fma 1.0 1.0 (pow v 4)))) (/ (/ (sqrt (- 1.0 (* 5.0 (* v v)))) t) (- (* 1.0 1.0) (* (* v v) (* v v)))))

simplify95.0ms

Algorithm
egg-herbie
Counts
245 → 245
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
015576930
150015976

prune1.8s

Filtered
245 candidates to 149 candidates (60.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes338.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06063
16063

end0.0ms

sample967.0ms

Algorithm
intervals
Results
365.0ms8001×body80valid
346.0ms8016×body80nan