Details

Time bar (total: 5.3s)

sample42.0ms

Algorithm
intervals
Results
19.0ms443×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0267
1487
2817
3987
4987

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (* z t))
0.0b
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
0.0b
(+ (+ (* x y) (* z t)) (* a b))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
10×sum-log
3×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
2×associate-+l+
Counts
3 → 38
Calls
3 calls:
3.0ms
(+ (* x y) (* z t))
45.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
11.0ms
(+ (+ (* x y) (* z t)) (* a b))

series283.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(+ (* x y) (* z t))
201.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
50.0ms
(+ (+ (* x y) (* z t)) (* a b))

simplify38.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0276348
11151333
25001333

prune131.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
0.5b
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.5b
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.5b
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

rewrite281.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
202.0ms
(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
27.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
24.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
24.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

series438.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
97.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
96.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
99.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

simplify112.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (98.0ms)

IterNodesCost
02821777
110191653
248361516
350011507

prune354.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.5b
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.6b
(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
0.6b
(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
12×cbrt-div
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ add-log-exp
Counts
4 → 58
Calls
4 calls:
26.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
24.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
25.0ms
(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
28.0ms
(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

series405.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
100.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
100.0ms
(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
101.0ms
(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

simplify69.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
02121044
1587972
22450940
35001936

prune377.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ (cbrt (pow (+ (* x y) (* z t)) 3)) (* a b)) (* c i))
0.0b
(+ (cbrt (pow (+ (* x y) (* z t)) 3)) (* a b))
0.3b
(pow (+ (* x y) (* z t)) 3)
35.2b
(cbrt (pow (+ (* x y) (* z t)) 3))

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
11×add-log-exp
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×unpow-prod-down cube-prod
5×pow1 add-exp-log add-cbrt-cube
4×cube-div flip3-+ sum-log flip-+
3×pow-unpow
2×+-commutative cube-mult cbrt-div unpow3 sqr-pow
1×pow-to-exp associate-+l+ pow-pow pow1/3 pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
4 → 72
Calls
4 calls:
121.0ms
(+ (+ (cbrt (pow (+ (* x y) (* z t)) 3)) (* a b)) (* c i))
27.0ms
(+ (cbrt (pow (+ (* x y) (* z t)) 3)) (* a b))
4.0ms
(pow (+ (* x y) (* z t)) 3)
4.0ms
(cbrt (pow (+ (* x y) (* z t)) 3))

series464.0ms

Counts
4 → 12
Calls
4 calls:
211.0ms
(+ (+ (cbrt (pow (+ (* x y) (* z t)) 3)) (* a b)) (* c i))
50.0ms
(+ (cbrt (pow (+ (* x y) (* z t)) 3)) (* a b))
163.0ms
(pow (+ (* x y) (* z t)) 3)
40.0ms
(cbrt (pow (+ (* x y) (* z t)) 3))

simplify58.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0410694
11938618
25001612

prune217.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes528.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0227
1227

end0.0ms

sample1.1s

Algorithm
intervals
Results
549.0ms13556×body80valid