Details

Time bar (total: 2.8s)

sample38.0ms

Algorithm
intervals
Results
19.0ms440×body80valid

simplify59.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
0512113

prune11.0ms

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

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x z) y)
0.2b
(* (+ x z) (/ (- x z) y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1 associate-*l*
3×associate-/r*
2×cbrt-undiv frac-times flip3-+ div-exp associate-*l/ prod-exp cbrt-unprod flip-+ div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip-- distribute-lft-out
Counts
2 → 81
Calls
2 calls:
9.0ms
(/ (- x z) y)
12.0ms
(* (+ x z) (/ (- x z) y))

series17.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ (- x z) y)
11.0ms
(* (+ x z) (/ (- x z) y))

simplify51.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05044867

prune104.0ms

Filtered
60 candidates to 87 candidates (-45.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New80787
Fresh101
Picked011
Done000
Total81889

Merged error: 0b

Counts
89 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (+ x z) (/ (- x z) y))) (cbrt (* (+ x z) (/ (- x z) y))))
7.8b
(cbrt (* (+ x z) (/ (- x z) y)))
7.8b
(cbrt (* (+ x z) (/ (- x z) y)))
7.8b
(cbrt (* (+ x z) (/ (- x z) y)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
75×cbrt-div
55×frac-times
35×associate-*l/
30×flip3-+ flip-+
20×associate-*r/
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:
7.0ms
(* (cbrt (* (+ x z) (/ (- x z) y))) (cbrt (* (+ x z) (/ (- x z) y))))
8.0ms
(cbrt (* (+ x z) (/ (- x z) y)))
8.0ms
(cbrt (* (+ x z) (/ (- x z) y)))
8.0ms
(cbrt (* (+ x z) (/ (- x z) y)))

series319.0ms

Counts
4 → 12
Calls
4 calls:
230.0ms
(* (cbrt (* (+ x z) (/ (- x z) y))) (cbrt (* (+ x z) (/ (- x z) y))))
29.0ms
(cbrt (* (+ x z) (/ (- x z) y)))
29.0ms
(cbrt (* (+ x z) (/ (- x z) y)))
31.0ms
(cbrt (* (+ x z) (/ (- x z) y)))

simplify39.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
052582335

prune147.0ms

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

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (+ x z)) (cbrt (+ x z)))
0.6b
(cbrt (+ x z))
0.6b
(cbrt (+ x z))
0.6b
(cbrt (+ x z))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
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 → 95
Calls
4 calls:
10.0ms
(* (cbrt (+ x z)) (cbrt (+ x z)))
3.0ms
(cbrt (+ x z))
3.0ms
(cbrt (+ x z))
3.0ms
(cbrt (+ x z))

series128.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (cbrt (+ x z)) (cbrt (+ x z)))
29.0ms
(cbrt (+ x z))
31.0ms
(cbrt (+ x z))
29.0ms
(cbrt (+ x z))

simplify39.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
04889933
14889933

prune117.0ms

Filtered
75 candidates to 107 candidates (-42.7%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1070107
Fresh055
Picked011
Done022
Total1078115

Merged error: 0b

Counts
115 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.5b
(cbrt y)
0.5b
(cbrt y)
0.5b
(cbrt y)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×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 → 73
Calls
4 calls:
5.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series91.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt y) (cbrt y))
22.0ms
(cbrt y)
23.0ms
(cbrt y)
21.0ms
(cbrt y)

simplify77.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
05837334

prune68.0ms

Filtered
52 candidates to 85 candidates (-63.5%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New84185
Fresh134
Picked011
Done033
Total85893

Merged error: 0b

Counts
93 → 8

regimes298.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01313
11313

end0.0ms

sample1.1s

Algorithm
intervals
Results
597.0ms13724×body80valid

Profiling

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