Details

Time bar (total: 7.2s)

sample41.0ms

Algorithm
intervals
Results
14.0ms262×body80nan
12.0ms256×body80valid

simplify77.0ms

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

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))))))

rewrite38.0ms

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))
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)
10.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series845.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* 5.0 (* v v))
603.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
23.0ms
(* PI t)
193.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify112.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
07751210
143561050
250011050

prune353.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

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))))))

rewrite38.0ms

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))
14.0ms
(/ 1 (/ (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))) (- 1.0 (* 5.0 (* v v)))))
4.0ms
(* PI t)
9.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series794.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* 5.0 (* v v))
539.0ms
(/ 1 (/ (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))) (- 1.0 (* 5.0 (* v v)))))
20.0ms
(* PI t)
202.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify120.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
08152034
144821809
250011809

prune407.0ms

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))))))

rewrite47.0ms

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:
5.0ms
(* 5.0 (* v v))
15.0ms
(/ 1 (/ (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))) (- 1.0 (* 5.0 (* v v)))))
10.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
8.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series932.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 5.0 (* v v))
544.0ms
(/ 1 (/ (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))) (- 1.0 (* 5.0 (* v v)))))
206.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
156.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify119.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
08402185
144681954
250011954

prune428.0ms

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 (/ (* (* (* (* 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))) (- 1.0 (* 5.0 (* 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)))))))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
89×add-exp-log
47×add-cbrt-cube
40×prod-exp
39×times-frac
30×add-sqr-sqrt
28×add-cube-cbrt *-un-lft-identity sqrt-div
27×div-exp
24×associate-*r/
21×pow1
20×cbrt-unprod
17×associate-*r*
11×cbrt-undiv flip3-- flip--
10×pow-prod-down sqrt-prod
9×associate-/r* associate-/r/
6×rec-exp 1-exp
5×associate-*l* div-inv
4×expm1-log1p-u frac-times log1p-expm1-u add-log-exp
3×*-commutative associate-/l*
2×associate-*l/
1×pow-flip frac-2neg clear-num inv-pow unswap-sqr
Counts
4 → 159
Calls
4 calls:
22.0ms
(/ 1 (/ (* (* (* (* 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))) (- 1.0 (* 5.0 (* v v)))))
4.0ms
(* PI t)
11.0ms
(* (* PI t) (sqrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
19.0ms
(* (* (* 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:
544.0ms
(/ 1 (/ (* (* (* (* 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))) (- 1.0 (* 5.0 (* v v)))))
20.0ms
(* PI t)
307.0ms
(* (* PI t) (sqrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
203.0ms
(* (* (* PI t) (sqrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (sqrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))

simplify55.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
010153312
150012607

prune477.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes194.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02915
12915

end0.0ms

sample955.0ms

Algorithm
intervals
Results
374.0ms8000×body80valid
334.0ms7810×body80nan