Details

Time bar (total: 4.8s)

sample46.0ms

Algorithm
intervals
Results
21.0ms468×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0267
1487
2817
3987
4987

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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)) (* a b)) (* c i))
0.0b
(+ (+ (* x y) (* z t)) (* a b))
0.0b
(+ (* x y) (* z t))

rewrite18.0ms

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:
8.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
5.0ms
(+ (+ (* x y) (* z t)) (* a b))
4.0ms
(+ (* x y) (* z t))

series296.0ms

Counts
3 → 9
Calls
3 calls:
211.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
52.0ms
(+ (+ (* x y) (* z t)) (* a b))
32.0ms
(+ (* x y) (* z t))

simplify35.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0276348
11151333
25001333

prune138.0ms

Filtered
47 candidates to 37 candidates (78.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

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))))
0.8b
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.8b
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.8b
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

rewrite37.0ms

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:
16.0ms
(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
6.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
6.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
6.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

series422.0ms

Counts
4 → 12
Calls
4 calls:
137.0ms
(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
95.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
95.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
96.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

simplify110.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (96.0ms)

IterNodesCost
02821777
110191653
248361516
350011506

prune340.0ms

Filtered
99 candidates to 75 candidates (75.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.8b
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.8b
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.8b
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.8b
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ add-log-exp
Counts
4 → 52
Calls
4 calls:
6.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
6.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
6.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
6.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

series384.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
95.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
97.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
97.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

simplify63.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (55.0ms)

IterNodesCost
0162884
1495816
22264784
35001780

prune349.0ms

Filtered
64 candidates to 60 candidates (93.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* z t) (* z t))
0.3b
(* (* x y) (* x y))
0.9b
(- (* (* x y) (* x y)) (* (* z t) (* z t)))
26.7b
(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (- (* x y) (* z t)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
82×pow1
34×pow-prod-down
30×add-exp-log add-cbrt-cube
16×prod-exp cbrt-unprod
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×times-frac
8×pow-sqr pow-prod-up
6×add-log-exp
5×difference-of-squares
4×pow-plus associate-/l*
3×flip3-- associate-/r* flip--
2×pow2 swap-sqr associate-*r* associate-*l* associate-/r/ *-commutative associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
4 → 117
Calls
4 calls:
6.0ms
(* (* z t) (* z t))
6.0ms
(* (* x y) (* x y))
6.0ms
(- (* (* x y) (* x y)) (* (* z t) (* z t)))
12.0ms
(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (- (* x y) (* z t)))

series243.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (* z t) (* z t))
30.0ms
(* (* x y) (* x y))
101.0ms
(- (* (* x y) (* x y)) (* (* z t) (* z t)))
79.0ms
(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (- (* x y) (* z t)))

simplify71.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
0413954
12306805
25002788

prune268.0ms

Filtered
129 candidates to 66 candidates (51.2%)
Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes650.0ms

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

sample1.2s

Algorithm
intervals
Results
567.0ms13690×body80valid