Details

Time bar (total: 10.9s)

sample27.0ms

Algorithm
intervals
Results
13.0ms330×body80valid
0.0ms5×body320valid
0.0ms2×body1280valid
0.0ms4×body160valid
0.0ms1×body640valid

simplify37.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0307
1867
22837
37427
411977
512737
612737

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ (+ y z) z) y)
0.0b
(* x (+ (+ (+ (+ y z) z) y) t))
0.0b
(+ (+ y z) z)
0.0b
(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

rewrite1.0s

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
20×add-log-exp
19×distribute-lft-out
10×sum-log
8×add-sqr-sqrt
7×associate-*r*
6×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
4×associate-+l+ flip3-+ flip-+
3×+-commutative associate-*l*
2×distribute-rgt-in distribute-lft-in associate-*r/
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 71
Calls
4 calls:
64.0ms
(+ (+ (+ y z) z) y)
672.0ms
(* x (+ (+ (+ (+ y z) z) y) t))
14.0ms
(+ (+ y z) z)
248.0ms
(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

series159.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ (+ (+ y z) z) y)
40.0ms
(* x (+ (+ (+ (+ y z) z) y) t))
25.0ms
(+ (+ y z) z)
61.0ms
(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

simplify50.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0374480
11624434
25001419

prune205.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ y (+ z z)) y)
0.0b
(* x (+ (+ (+ y (+ z z)) y) t))
0.0b
(+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))

rewrite988.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
16×distribute-lft-out
14×add-log-exp
7×add-sqr-sqrt associate-*r* sum-log
5×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
3×associate-+l+ flip3-+ associate-*l* flip-+
2×+-commutative distribute-rgt-in distribute-lft-in associate-*r/
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 56
Calls
3 calls:
63.0ms
(+ (+ y (+ z z)) y)
679.0ms
(* x (+ (+ (+ y (+ z z)) y) t))
243.0ms
(+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))

series130.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(+ (+ y (+ z z)) y)
38.0ms
(* x (+ (+ (+ y (+ z z)) y) t))
59.0ms
(+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))

simplify46.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0322421
11439385
25003385

prune149.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))))
0.5b
(cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0)))
0.5b
(cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0)))
0.5b
(cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0)))

rewrite1.6s

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:
1.2s
(* (cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))))
153.0ms
(cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0)))
152.0ms
(cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0)))
152.0ms
(cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0)))

series1.2s

Counts
4 → 12
Calls
4 calls:
400.0ms
(* (cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))))
278.0ms
(cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0)))
275.0ms
(cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0)))
276.0ms
(cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0)))

simplify58.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04092070
114191949
250011842

prune361.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))))) (cbrt (* (cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))))))
0.5b
(cbrt (* (cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0)))))
0.5b
(cbrt (* (cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0)))))
0.5b
(cbrt (* (cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0)))))

rewrite1.0s

Algorithm
rewrite-expression-head
Rules
420×cbrt-div
148×frac-times
126×flip3-+ flip-+
50×associate-*r/ associate-*l/
12×add-sqr-sqrt
11×pow1 cbrt-prod
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 165
Calls
4 calls:
84.0ms
(* (cbrt (* (cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))))) (cbrt (* (cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))))))
307.0ms
(cbrt (* (cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0)))))
307.0ms
(cbrt (* (cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0)))))
307.0ms
(cbrt (* (cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0)))))

series2.1s

Counts
4 → 12
Calls
4 calls:
946.0ms
(* (cbrt (* (cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))))) (cbrt (* (cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))))))
407.0ms
(cbrt (* (cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0)))))
396.0ms
(cbrt (* (cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0)))))
399.0ms
(cbrt (* (cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0)))))

simplify121.0ms

Algorithm
egg-herbie
Counts
177 → 177
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
054310789
1153110494
2500110316

prune608.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes240.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0187
1187

end0.0ms

sample621.0ms

Algorithm
intervals
Results
324.0ms10578×body80valid
12.0ms112×body640valid
10.0ms76×body1280valid
6.0ms70×body320valid
2.0ms43×body160valid