Details

Time bar (total: 8.9s)

sample98.0ms

Algorithm
intervals
Results
26.0ms640×body80nan
24.0ms589×body80valid

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0259
1419
2889
31659
42879
56259
620149
750029

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:

0.0b
(/ (* t t) 2.0)
0.0b
(exp (/ (* t t) 2.0))
0.0b
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
0.3b
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
16×add-cbrt-cube
14×add-exp-log
13×add-sqr-sqrt
11×pow1 add-cube-cbrt *-un-lft-identity
7×exp-prod associate-*r*
6×times-frac associate-*l/
5×prod-exp cbrt-unprod add-log-exp
4×associate-*l* pow-prod-down
3×associate-/r*
2×cbrt-undiv flip3-- div-exp *-commutative flip-- div-inv
1×frac-2neg clear-num sqrt-prod rem-exp-log associate-/l* unswap-sqr
Counts
4 → 77
Calls
4 calls:
10.0ms
(/ (* t t) 2.0)
5.0ms
(exp (/ (* t t) 2.0))
100.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
39.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series281.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ (* t t) 2.0)
17.0ms
(exp (/ (* t t) 2.0))
150.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
92.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify48.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0443614
11819523
25001520

prune275.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (/ (* t t) 2.0)) (cbrt (/ (* t t) 2.0)))
31.2b
(cbrt (/ (* t t) 2.0))
31.2b
(cbrt (/ (* t t) 2.0))
31.2b
(cbrt (/ (* t t) 2.0))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
61×cbrt-prod
40×add-sqr-sqrt
27×times-frac
22×add-cube-cbrt *-un-lft-identity
11×pow1
10×swap-sqr associate-*r* associate-*l*
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 108
Calls
4 calls:
18.0ms
(* (cbrt (/ (* t t) 2.0)) (cbrt (/ (* t t) 2.0)))
4.0ms
(cbrt (/ (* t t) 2.0))
4.0ms
(cbrt (/ (* t t) 2.0))
4.0ms
(cbrt (/ (* t t) 2.0))

series892.0ms

Counts
4 → 12
Calls
4 calls:
245.0ms
(* (cbrt (/ (* t t) 2.0)) (cbrt (/ (* t t) 2.0)))
209.0ms
(cbrt (/ (* t t) 2.0))
228.0ms
(cbrt (/ (* t t) 2.0))
209.0ms
(cbrt (/ (* t t) 2.0))

simplify95.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0149863
1563806
23075758
35001753

prune460.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (* z 2.0)))
0.1b
(sqrt (sqrt (* z 2.0)))
0.2b
(* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0))))
0.3b
(* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt (* z 2.0))))

rewrite161.0ms

Algorithm
rewrite-expression-head
Rules
21×sqrt-prod
19×pow1
17×add-sqr-sqrt
14×associate-*r*
12×sqrt-pow1
11×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×pow-prod-down associate-*l/
4×pow1/2 associate-*l* prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square flip3-- *-commutative flip-- unswap-sqr
Counts
4 → 83
Calls
4 calls:
4.0ms
(sqrt (sqrt (* z 2.0)))
4.0ms
(sqrt (sqrt (* z 2.0)))
42.0ms
(* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0))))
107.0ms
(* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt (* z 2.0))))

series577.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(sqrt (sqrt (* z 2.0)))
168.0ms
(sqrt (sqrt (* z 2.0)))
142.0ms
(* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0))))
95.0ms
(* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt (* z 2.0))))

simplify44.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0366702
11432607
25001584

prune281.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (* z 2.0)))
0.2b
(* (- (* x 0.5) y) (* (sqrt (sqrt z)) (sqrt (sqrt 2.0))))
0.3b
(* (sqrt (sqrt z)) (sqrt (sqrt 2.0)))
0.3b
(* (* (- (* x 0.5) y) (* (sqrt (sqrt z)) (sqrt (sqrt 2.0)))) (sqrt (sqrt (* z 2.0))))

rewrite272.0ms

Algorithm
rewrite-expression-head
Rules
46×sqrt-prod
33×add-sqr-sqrt
28×pow1
20×add-exp-log add-cbrt-cube
17×associate-*r*
15×pow-prod-down
14×add-cube-cbrt *-un-lft-identity sqrt-pow1
13×associate-*l*
10×prod-exp cbrt-unprod
9×unswap-sqr
6×pow1/2 associate-*l/
4×add-log-exp
3×*-commutative
2×flip3-- flip--
1×rem-sqrt-square sqrt-unprod
Counts
4 → 107
Calls
4 calls:
4.0ms
(sqrt (sqrt (* z 2.0)))
62.0ms
(* (- (* x 0.5) y) (* (sqrt (sqrt z)) (sqrt (sqrt 2.0))))
20.0ms
(* (sqrt (sqrt z)) (sqrt (sqrt 2.0)))
182.0ms
(* (* (- (* x 0.5) y) (* (sqrt (sqrt z)) (sqrt (sqrt 2.0)))) (sqrt (sqrt (* z 2.0))))

series782.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(sqrt (sqrt (* z 2.0)))
195.0ms
(* (- (* x 0.5) y) (* (sqrt (sqrt z)) (sqrt (sqrt 2.0))))
208.0ms
(* (sqrt (sqrt z)) (sqrt (sqrt 2.0)))
193.0ms
(* (* (- (* x 0.5) y) (* (sqrt (sqrt z)) (sqrt (sqrt 2.0)))) (sqrt (sqrt (* z 2.0))))

simplify65.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
04951118
120641011
25001984

prune393.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes759.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02218
12218

end0.0ms

sample3.1s

Algorithm
intervals
Results
983.0ms18107×body80nan
775.0ms18147×body80valid