Details

Time bar (total: 8.3s)

sample44.0ms

Algorithm
intervals
Results
15.0ms288×body80nan
12.0ms256×body80valid

simplify75.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04414
116514
284614
3397414
4500114

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize15.0ms

Local error

Found 4 expressions with local error:

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

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:
5.0ms
(* 5.0 (* v v))
15.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
4.0ms
(* PI t)
9.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series842.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 5.0 (* v v))
602.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
20.0ms
(* PI t)
196.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify118.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
07751210
143561050
250011050

prune554.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 5.0 (* v v))
0.3b
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
0.4b
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
0.5b
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log associate-*r/ add-cbrt-cube
16×pow1
13×add-sqr-sqrt prod-exp cbrt-unprod
10×add-cube-cbrt *-un-lft-identity sqrt-div
9×flip3-- associate-*l* flip--
8×associate-/r/
7×pow-prod-down
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 clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 104
Calls
4 calls:
5.0ms
(* 5.0 (* v v))
15.0ms
(/ (- 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)))))))
7.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series952.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* 5.0 (* v v))
582.0ms
(/ (- 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)))))))
152.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify107.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
08001361
142751195
250011195

prune362.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

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))
15.0ms
(/ (- 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)
13.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series834.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* 5.0 (* v v))
593.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
19.0ms
(* PI t)
190.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify109.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
07751210
143561050
250011050

prune332.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 5.0 (* v v))
0.3b
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* (* t (* (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))) (- 1.0 (* v v))))
0.3b
(* (* t (* (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
0.4b
(* PI (* (* t (* (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
536×associate-*r/
270×cbrt-div sqrt-div
192×frac-times
163×flip3-- flip--
96×associate-*l/
80×associate-/r/
59×add-exp-log
44×add-cbrt-cube
34×prod-exp cbrt-unprod
32×pow1
19×pow-prod-down
11×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
9×associate-*r*
7×associate-*l*
6×cbrt-undiv div-exp
4×cbrt-prod expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac *-commutative associate-/l*
2×associate-/l/
1×frac-2neg div-sub clear-num associate-/r* sqrt-prod div-inv unswap-sqr
Counts
4 → 240
Calls
4 calls:
5.0ms
(* 5.0 (* v v))
37.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* (* t (* (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))) (- 1.0 (* v v))))
15.0ms
(* (* t (* (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
19.0ms
(* PI (* (* t (* (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))

series983.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* 5.0 (* v v))
598.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* (* t (* (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))) (- 1.0 (* v v))))
156.0ms
(* (* t (* (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
197.0ms
(* PI (* (* t (* (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))

simplify93.0ms

Algorithm
egg-herbie
Counts
252 → 252
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
018727796
150027084

prune1.3s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.1b

regimes340.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02514
12514

end0.0ms

sample1.0s

Algorithm
intervals
Results
399.0ms8000×body80valid
355.0ms7967×body80nan