Details

Time bar (total: 8.3s)

sample39.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
12.0ms253×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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.4b

Counts
2 → 1

localize17.0ms

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) (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))))))

rewrite37.0ms

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))
4.0ms
(* PI t)
16.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
9.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series815.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 5.0 (* v v))
26.0ms
(* PI t)
578.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
187.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify113.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
07751210
143561050
250011050

prune353.0ms

Filtered
114 candidates to 80 candidates (70.2%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New10311114
Fresh000
Picked101
Done000
Total10411115

Merged error: 0.2b

Counts
115 → 11

localize27.0ms

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

rewrite39.0ms

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:
5.0ms
(* 5.0 (* v v))
3.0ms
(* PI t)
17.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v))))))) (- (* 1.0 1.0) (* (* v v) (* v v)))))
10.0ms
(* (* PI t) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))))))

series633.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* 5.0 (* v v))
19.0ms
(* PI t)
410.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v))))))) (- (* 1.0 1.0) (* (* v v) (* v v)))))
174.0ms
(* (* PI t) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))))))

simplify114.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
07191622
142001382
250011382

prune439.0ms

Filtered
114 candidates to 78 candidates (68.4%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1095114
Fresh7310
Picked101
Done000
Total1178125

Merged error: 0.1b

Counts
125 → 8

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.2b
(/ (- 1.0 (* 5.0 (* v v))) (* PI t))
0.3b
(* PI t)
0.4b
(/ (/ (- 1.0 (* 5.0 (* v v))) (* PI t)) (* (* (sqrt (* 2.0 (- (pow (* 1.0 1.0) 3) (pow (* (* 3.0 (* v v)) (* 3.0 (* v v))) 3)))) (fma 1.0 1.0 (pow v 4))) (- (* 1.0 1.0) (* (* v v) (* v v)))))

rewrite44.0ms

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:
5.0ms
(* 5.0 (* v v))
6.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* PI t))
3.0ms
(* PI t)
25.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (* PI t)) (* (* (sqrt (* 2.0 (- (pow (* 1.0 1.0) 3) (pow (* (* 3.0 (* v v)) (* 3.0 (* v v))) 3)))) (fma 1.0 1.0 (pow v 4))) (- (* 1.0 1.0) (* (* v v) (* v v)))))

series533.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* 5.0 (* v v))
82.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* PI t))
20.0ms
(* PI t)
407.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (* PI t)) (* (* (sqrt (* 2.0 (- (pow (* 1.0 1.0) 3) (pow (* (* 3.0 (* v v)) (* 3.0 (* v v))) 3)))) (fma 1.0 1.0 (pow v 4))) (- (* 1.0 1.0) (* (* v v) (* v v)))))

simplify128.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
08192409
144301921
250011921

prune875.0ms

Filtered
134 candidates to 87 candidates (64.9%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1277134
Fresh707
Picked101
Done000
Total1357142

Merged error: 0.0b

Counts
142 → 7

localize50.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 3.0 (* v v))
0.2b
(* 5.0 (* v v))
0.4b
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) t)
0.4b
(/ (/ (/ (- 1.0 (* 5.0 (* v v))) PI) t) (* (* (sqrt (* 2.0 (- (pow (* 1.0 1.0) 3) (pow (* (* 3.0 (* v v)) (* 3.0 (* v v))) 3)))) (fma 1.0 1.0 (pow v 4))) (- (* 1.0 1.0) (* (* v v) (* v v)))))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
250×times-frac
120×add-sqr-sqrt
118×add-cube-cbrt *-un-lft-identity
56×associate-/l*
55×add-exp-log add-cbrt-cube
21×cbrt-undiv div-exp
15×prod-exp cbrt-unprod
14×pow1 div-inv
8×associate-*r/ associate-*l/ associate-/r/
6×flip3-- sqrt-div associate-*l* pow-prod-down flip--
5×div-sub
4×expm1-log1p-u frac-times associate-/r* log1p-expm1-u add-log-exp
2×frac-2neg associate-*r* clear-num *-commutative associate-/l/ unswap-sqr
Counts
4 → 242
Calls
4 calls:
5.0ms
(* 3.0 (* v v))
5.0ms
(* 5.0 (* v v))
7.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) t)
28.0ms
(/ (/ (/ (- 1.0 (* 5.0 (* v v))) PI) t) (* (* (sqrt (* 2.0 (- (pow (* 1.0 1.0) 3) (pow (* (* 3.0 (* v v)) (* 3.0 (* v v))) 3)))) (fma 1.0 1.0 (pow v 4))) (- (* 1.0 1.0) (* (* v v) (* v v)))))

series563.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 3.0 (* v v))
32.0ms
(* 5.0 (* v v))
86.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) t)
420.0ms
(/ (/ (/ (- 1.0 (* 5.0 (* v v))) PI) t) (* (* (sqrt (* 2.0 (- (pow (* 1.0 1.0) 3) (pow (* (* 3.0 (* v v)) (* 3.0 (* v v))) 3)))) (fma 1.0 1.0 (pow v 4))) (- (* 1.0 1.0) (* (* v v) (* v v)))))

simplify79.0ms

Algorithm
egg-herbie
Counts
254 → 254
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
013425308
150014811

prune1.9s

Filtered
254 candidates to 194 candidates (76.4%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New2513254
Fresh336
Picked101
Done000
Total2556261

Merged error: 0.0b

Counts
261 → 6

regimes218.0ms

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
05965
15965

end0.0ms

sample1.0s

Algorithm
intervals
Results
398.0ms8000×body80valid
381.0ms7955×body80nan