Details

Time bar (total: 2.7s)

sample25.0ms

Algorithm
intervals
Results
10.0ms333×body80valid

simplify57.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
051469

prune10.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ y 1.0) z)
0.0b
(- (* x (/ (+ y 1.0) z)) x)
2.8b
(* x (/ (+ y 1.0) z))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
26×add-sqr-sqrt
25×times-frac
21×add-cube-cbrt
16×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out
5×pow1 add-log-exp
4×associate-/l*
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×sub-neg flip3-- frac-2neg flip3-+ diff-log associate-*r/ pow-prod-down clear-num *-commutative flip-- flip-+
Counts
3 → 80
Calls
3 calls:
5.0ms
(/ (+ y 1.0) z)
6.0ms
(- (* x (/ (+ y 1.0) z)) x)
12.0ms
(* x (/ (+ y 1.0) z))

series21.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ (+ y 1.0) z)
9.0ms
(- (* x (/ (+ y 1.0) z)) x)
8.0ms
(* x (/ (+ y 1.0) z))

simplify64.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
04964806
14964806

prune110.0ms

Filtered
59 candidates to 89 candidates (-50.8%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New84589
Fresh011
Picked101
Done000
Total85691

Merged error: 0.0b

Counts
91 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(* x (* (cbrt (+ y 1.0)) (/ (cbrt (+ y 1.0)) (* (cbrt z) (cbrt z)))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log
11×add-cbrt-cube
9×pow1 cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
6×associate-*r/
4×cbrt-div add-log-exp
3×pow1/3 associate-*l* pow-prod-down
2×cbrt-undiv frac-times flip3-+ div-exp associate-*l/ flip-+
1×associate-*r* *-commutative
Counts
4 → 60
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
16.0ms
(* x (* (cbrt (+ y 1.0)) (/ (cbrt (+ y 1.0)) (* (cbrt z) (cbrt z)))))

series114.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt z)
23.0ms
(cbrt z)
23.0ms
(cbrt z)
46.0ms
(* x (* (cbrt (+ y 1.0)) (/ (cbrt (+ y 1.0)) (* (cbrt z) (cbrt z)))))

simplify61.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
04942661
14942661

prune134.0ms

Filtered
49 candidates to 72 candidates (-46.9%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New70272
Fresh055
Picked011
Done000
Total70878

Merged error: 0b

Counts
78 → 8

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* x (* (cbrt (+ y 1.0)) (/ (cbrt (+ y 1.0)) (* (cbrt z) (cbrt z)))))) (cbrt (* x (* (cbrt (+ y 1.0)) (/ (cbrt (+ y 1.0)) (* (cbrt z) (cbrt z)))))))
4.0b
(cbrt (* x (* (cbrt (+ y 1.0)) (/ (cbrt (+ y 1.0)) (* (cbrt z) (cbrt z))))))
4.0b
(cbrt (* x (* (cbrt (+ y 1.0)) (/ (cbrt (+ y 1.0)) (* (cbrt z) (cbrt z))))))
4.0b
(cbrt (* x (* (cbrt (+ y 1.0)) (/ (cbrt (+ y 1.0)) (* (cbrt z) (cbrt z))))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
135×cbrt-div
95×associate-*r/
55×frac-times
35×associate-*l/
30×flip3-+ flip-+
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 108
Calls
4 calls:
8.0ms
(* (cbrt (* x (* (cbrt (+ y 1.0)) (/ (cbrt (+ y 1.0)) (* (cbrt z) (cbrt z)))))) (cbrt (* x (* (cbrt (+ y 1.0)) (/ (cbrt (+ y 1.0)) (* (cbrt z) (cbrt z)))))))
12.0ms
(cbrt (* x (* (cbrt (+ y 1.0)) (/ (cbrt (+ y 1.0)) (* (cbrt z) (cbrt z))))))
12.0ms
(cbrt (* x (* (cbrt (+ y 1.0)) (/ (cbrt (+ y 1.0)) (* (cbrt z) (cbrt z))))))
13.0ms
(cbrt (* x (* (cbrt (+ y 1.0)) (/ (cbrt (+ y 1.0)) (* (cbrt z) (cbrt z))))))

series243.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(* (cbrt (* x (* (cbrt (+ y 1.0)) (/ (cbrt (+ y 1.0)) (* (cbrt z) (cbrt z)))))) (cbrt (* x (* (cbrt (+ y 1.0)) (/ (cbrt (+ y 1.0)) (* (cbrt z) (cbrt z)))))))
55.0ms
(cbrt (* x (* (cbrt (+ y 1.0)) (/ (cbrt (+ y 1.0)) (* (cbrt z) (cbrt z))))))
58.0ms
(cbrt (* x (* (cbrt (+ y 1.0)) (/ (cbrt (+ y 1.0)) (* (cbrt z) (cbrt z))))))
59.0ms
(cbrt (* x (* (cbrt (+ y 1.0)) (/ (cbrt (+ y 1.0)) (* (cbrt z) (cbrt z))))))

simplify70.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
049663743
149663743

prune502.0ms

Filtered
91 candidates to 120 candidates (-31.9%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1200120
Fresh066
Picked011
Done011
Total1208128

Merged error: 0b

Counts
128 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt z)
2.4b
(* (/ x (* (cbrt z) (cbrt z))) (/ (+ y 1.0) (cbrt z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
36×*-un-lft-identity
34×times-frac
28×associate-*r*
25×add-exp-log
24×add-cube-cbrt
23×cbrt-prod
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 98
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
16.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ (+ y 1.0) (cbrt z)))

series83.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt z)
22.0ms
(cbrt z)
25.0ms
(cbrt z)
14.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ (+ y 1.0) (cbrt z)))

simplify38.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
053691048

prune96.0ms

Filtered
73 candidates to 110 candidates (-50.7%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1100110
Fresh055
Picked011
Done022
Total1108118

Merged error: 0b

Counts
118 → 8

regimes274.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01827
11827

end0.0ms

sample660.0ms

Algorithm
intervals
Results
300.0ms10160×body80valid

Profiling

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