Details

Time bar (total: 7.9s)

sample44.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
12.0ms262×body80nan

simplify74.0ms

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

localize15.0ms

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))))))

series842.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 5.0 (* v v))
606.0ms
(/ (- 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)
192.0ms
(* (* 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

prune347.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.2b
(/ 1 (/ (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))) (- 1.0 (* 5.0 (* v v)))))
0.3b
(* PI t)
0.5b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
66×add-exp-log
39×times-frac
36×add-cbrt-cube
29×add-sqr-sqrt
26×add-cube-cbrt *-un-lft-identity
25×prod-exp
22×div-exp
17×pow1
13×cbrt-unprod
9×cbrt-undiv associate-/r* associate-/r/
8×associate-*r*
7×associate-*l* pow-prod-down
5×rec-exp flip3-- 1-exp flip-- div-inv
4×expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
3×*-commutative associate-/l*
2×sqrt-div unswap-sqr
1×pow-flip frac-2neg clear-num sqrt-prod inv-pow
Counts
4 → 138
Calls
4 calls:
6.0ms
(* 5.0 (* v v))
89.0ms
(/ 1 (/ (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))) (- 1.0 (* 5.0 (* v v)))))
7.0ms
(* PI t)
14.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series765.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* 5.0 (* v v))
518.0ms
(/ 1 (/ (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))) (- 1.0 (* 5.0 (* v v)))))
19.0ms
(* PI t)
196.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify115.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
08152034
144821809
250011809

prune401.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.2b
(/ 1 (/ (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))) (- 1.0 (* 5.0 (* v v)))))
0.4b
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
0.4b
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite221.0ms

Algorithm
rewrite-expression-head
Rules
66×add-exp-log
39×times-frac
36×add-cbrt-cube
29×add-sqr-sqrt
26×add-cube-cbrt *-un-lft-identity
25×prod-exp
22×div-exp
17×pow1
13×cbrt-unprod
10×associate-*r/
9×cbrt-undiv associate-*l* associate-/r* associate-/r/
7×pow-prod-down
6×flip3-- associate-*r* flip--
5×rec-exp 1-exp div-inv
4×expm1-log1p-u sqrt-div log1p-expm1-u add-log-exp
3×*-commutative associate-/l*
2×unswap-sqr
1×pow-flip frac-2neg clear-num sqrt-prod inv-pow
Counts
4 → 140
Calls
4 calls:
7.0ms
(* 5.0 (* v v))
171.0ms
(/ 1 (/ (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))) (- 1.0 (* 5.0 (* v v)))))
27.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
10.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series908.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 5.0 (* v v))
525.0ms
(/ 1 (/ (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))) (- 1.0 (* 5.0 (* v v)))))
203.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
155.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify115.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
08402185
144681954
250011954

prune426.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite323.0ms

Algorithm
rewrite-expression-head
Rules
100×sqrt-div
86×associate-*r/
40×add-exp-log add-cbrt-cube
35×flip3-- flip--
32×frac-times
26×associate-/r/
20×pow1 prod-exp cbrt-unprod
17×associate-*r*
16×associate-*l/
14×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
10×pow-prod-down sqrt-prod
5×cbrt-undiv div-exp associate-*l*
4×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* div-inv unswap-sqr
Counts
4 → 139
Calls
4 calls:
228.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* PI t) (sqrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (sqrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
5.0ms
(* PI t)
16.0ms
(* (* PI t) (sqrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
64.0ms
(* (* (* PI t) (sqrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (sqrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))

series1.1s

Counts
4 → 12
Calls
4 calls:
601.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* PI t) (sqrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (sqrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
20.0ms
(* PI t)
291.0ms
(* (* PI t) (sqrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
200.0ms
(* (* (* PI t) (sqrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (sqrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))

simplify60.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
011212785
150012469

prune558.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes195.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02915
12915

end0.0ms

sample1.0s

Algorithm
intervals
Results
375.0ms8000×body80valid
355.0ms7810×body80nan