Details

Time bar (total: 4.2s)

sample20.0ms

Algorithm
intervals
Results
9.0ms298×body80valid

simplify89.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0164
1423
21092
35772
444382
550022

prune8.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 5.8b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

5.6b
(* x (/ y z))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
7.0ms
(* x (/ y z))

series19.0ms

Counts
1 → 3
Calls
1 calls:
19.0ms
(* x (/ y z))

simplify68.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0166133
1744118
23139118
35001118

prune74.0ms

Filtered
35 candidates to 24 candidates (68.6%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New251035
Fresh000
Picked011
Done000
Total251136

Merged error: 0.0b

Counts
36 → 11

localize7.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt z)
3.5b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
28×times-frac
25×add-exp-log
22×add-cube-cbrt *-un-lft-identity associate-*r*
20×cbrt-prod
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 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 → 92
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
17.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series807.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt z)
185.0ms
(cbrt z)
394.0ms
(cbrt z)
48.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify55.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0420720
12228581
25001542

prune225.0ms

Filtered
104 candidates to 81 candidates (77.9%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1013104
Fresh189
Picked101
Done011
Total10312115

Merged error: 0.0b

Counts
115 → 12

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(* (/ (cbrt x) (cbrt z)) (/ y (cbrt z)))
0.8b
(* (/ (* (cbrt x) (cbrt x)) (cbrt z)) (* (/ (cbrt x) (cbrt z)) (/ y (cbrt z))))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
99×add-sqr-sqrt
85×add-exp-log
82×times-frac
71×cbrt-prod
50×associate-*l*
47×add-cube-cbrt *-un-lft-identity
41×add-cbrt-cube
36×prod-exp cbrt-unprod
26×cbrt-undiv div-exp
23×associate-*r*
15×unswap-sqr
11×pow1
6×frac-times associate-*r/
4×pow-prod-down associate-*l/ add-log-exp
3×div-inv
2×pow1/3 *-commutative
Counts
4 → 177
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
26.0ms
(* (/ (cbrt x) (cbrt z)) (/ y (cbrt z)))
17.0ms
(* (/ (* (cbrt x) (cbrt x)) (cbrt z)) (* (/ (cbrt x) (cbrt z)) (/ y (cbrt z))))

series555.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt x)
183.0ms
(cbrt x)
164.0ms
(* (/ (cbrt x) (cbrt z)) (/ y (cbrt z)))
22.0ms
(* (/ (* (cbrt x) (cbrt x)) (cbrt z)) (* (/ (cbrt x) (cbrt z)) (/ y (cbrt z))))

simplify90.0ms

Algorithm
egg-herbie
Counts
189 → 189
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
08151940
135531621
250011489

prune409.0ms

Filtered
189 candidates to 129 candidates (68.3%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1881189
Fresh2810
Picked011
Done011
Total19011201

Merged error: 0.0b

Counts
201 → 11

localize7.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
1.3b
(/ (/ (* x (/ y (cbrt z))) (cbrt z)) (cbrt z))
1.4b
(* x (/ y (cbrt z)))
2.4b
(/ (* x (/ y (cbrt z))) (cbrt z))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
128×times-frac
74×add-sqr-sqrt
73×cbrt-prod
66×add-cube-cbrt *-un-lft-identity
32×add-exp-log
22×associate-*r*
19×add-cbrt-cube
13×cbrt-undiv div-exp
12×associate-/r*
11×associate-/l*
10×div-inv
6×pow1 prod-exp cbrt-unprod
4×add-log-exp
3×associate-*l* unswap-sqr
2×frac-2neg associate-*r/ clear-num associate-/l/
1×pow1/3 pow-prod-down *-commutative
Counts
4 → 178
Calls
4 calls:
1.0ms
(cbrt z)
12.0ms
(/ (/ (* x (/ y (cbrt z))) (cbrt z)) (cbrt z))
9.0ms
(* x (/ y (cbrt z)))
8.0ms
(/ (* x (/ y (cbrt z))) (cbrt z))

series431.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt z)
48.0ms
(/ (/ (* x (/ y (cbrt z))) (cbrt z)) (cbrt z))
86.0ms
(* x (/ y (cbrt z)))
118.0ms
(/ (* x (/ y (cbrt z))) (cbrt z))

simplify93.0ms

Algorithm
egg-herbie
Counts
190 → 190
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
06421688
132791500
250011414

prune312.0ms

Filtered
190 candidates to 125 candidates (65.8%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New1891190
Fresh088
Picked011
Done022
Total18912201

Merged error: 0b

Counts
201 → 12

regimes212.0ms

Accuracy

35% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 2.8b

bsearch2.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03019
13019

end0.0ms

sample532.0ms

Algorithm
intervals
Results
306.0ms9579×body80valid

Profiling

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