Details

Time bar (total: 2.1s)

sample24.0ms

Algorithm
intervals
Results
9.0ms307×body80valid

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (51.0ms)

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: 0.1b

Counts
2 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (/ (+ y 1.0) z)) x)
0.0b
(/ (+ y 1.0) z)
4.0b
(* x (/ (+ y 1.0) z))

rewrite30.0ms

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:
8.0ms
(- (* x (/ (+ y 1.0) z)) x)
10.0ms
(/ (+ y 1.0) z)
10.0ms
(* x (/ (+ y 1.0) z))

series24.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(- (* x (/ (+ y 1.0) z)) x)
5.0ms
(/ (+ y 1.0) z)
10.0ms
(* x (/ (+ y 1.0) z))

simplify57.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04972806
14972806

prune133.0ms

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

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New80989
Fresh101
Picked101
Done000
Total82991

Merged error: 0.0b

Counts
91 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(* (cbrt z) (cbrt z))
2.1b
(* (/ x (* (cbrt z) (cbrt z))) (/ (+ y 1.0) (cbrt z)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt
43×*-un-lft-identity
36×cbrt-prod
34×times-frac associate-*r*
31×add-cube-cbrt
27×add-exp-log
18×add-cbrt-cube
13×pow1 associate-*l*
10×unswap-sqr
9×prod-exp cbrt-unprod
8×pow1/3
7×cbrt-undiv div-exp
6×swap-sqr distribute-lft-out
4×add-log-exp
3×pow-prod-down
2×pow-sqr *-commutative pow-prod-up div-inv
1×pow2 frac-times pow-plus associate-*r/ associate-*l/
Counts
4 → 127
Calls
4 calls:
1.0ms
(cbrt z)
2.0ms
(cbrt z)
6.0ms
(* (cbrt z) (cbrt z))
22.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ (+ y 1.0) (cbrt z)))

series95.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(cbrt z)
24.0ms
(cbrt z)
28.0ms
(* (cbrt z) (cbrt z))
15.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ (+ y 1.0) (cbrt z)))

simplify36.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
052741098

prune167.0ms

Filtered
88 candidates to 139 candidates (-58.0%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1381139
Fresh178
Picked101
Done000
Total1408148

Merged error: 0.0b

Counts
148 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (/ x z) (+ y 1.0)) x)
2.7b
(* (/ x z) (+ y 1.0))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
4×pow1 associate-*r* add-log-exp
2×distribute-rgt-in frac-times distribute-lft-in flip3-+ associate-*r/ prod-exp associate--l+ cbrt-unprod flip-+ unswap-sqr
1×cbrt-undiv sub-neg flip3-- diff-log div-exp pow-prod-down associate-*l/ *-commutative flip-- div-inv distribute-lft-out
Counts
2 → 53
Calls
2 calls:
8.0ms
(- (* (/ x z) (+ y 1.0)) x)
9.0ms
(* (/ x z) (+ y 1.0))

series19.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(- (* (/ x z) (+ y 1.0)) x)
10.0ms
(* (/ x z) (+ y 1.0))

simplify29.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
05301576

prune84.0ms

Filtered
43 candidates to 59 candidates (-37.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New58159
Fresh167
Picked011
Done000
Total59867

Merged error: 0b

Counts
67 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ y 1.0))
0.2b
(cbrt (+ y 1.0))
0.2b
(cbrt (+ y 1.0))
3.6b
(* (* x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (cbrt (+ y 1.0)) z))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
33×*-un-lft-identity
30×cbrt-div
25×add-exp-log associate-*r*
24×cbrt-prod
21×add-sqr-sqrt add-cube-cbrt times-frac associate-*r/
18×add-cbrt-cube
16×frac-times
15×flip3-+ flip-+
13×pow1
12×associate-*l/ prod-exp cbrt-unprod
6×pow-prod-down distribute-lft-out
4×add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×associate-*l* *-commutative div-inv
Counts
4 → 108
Calls
4 calls:
4.0ms
(cbrt (+ y 1.0))
3.0ms
(cbrt (+ y 1.0))
3.0ms
(cbrt (+ y 1.0))
25.0ms
(* (* x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (cbrt (+ y 1.0)) z))

series29.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(cbrt (+ y 1.0))
7.0ms
(cbrt (+ y 1.0))
7.0ms
(cbrt (+ y 1.0))
9.0ms
(* (* x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (cbrt (+ y 1.0)) z))

simplify50.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
052461504

prune207.0ms

Filtered
78 candidates to 120 candidates (-53.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1200120
Fresh066
Picked011
Done011
Total1208128

Merged error: 0b

Counts
128 → 8

regimes198.0ms

Accuracy

92.1% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.7b

bsearch32.0ms

Steps
ItersRangePoint
8
1.070528705284242e+17
3.5140278210479145e+19
1.4378512130884446e+17
8
-5.7133000991277416e-129
-8.462279673133754e-132
-5.2325671158835024e-129

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02327
12327

end0.0ms

sample713.0ms

Algorithm
intervals
Results
322.0ms10031×body80valid

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