Details

Time bar (total: 2.8s)

sample53.0ms

Algorithm
intervals
Results
18.0ms30×body1280valid
11.0ms179×body80valid
6.0ms20×body640valid
3.0ms18×body320valid
1.0ms9×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0799
1799

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ x (cos y)) (* z (sin y)))
0.1b
(* z (sin y))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
7×add-log-exp
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
3×associate-*r* associate-*l*
2×diff-log
1×sub-neg flip3-- pow-prod-down prod-exp associate--l+ sum-log *-commutative flip-- cbrt-unprod unswap-sqr
Counts
2 → 32
Calls
2 calls:
6.0ms
(- (+ x (cos y)) (* z (sin y)))
4.0ms
(* z (sin y))

series20.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(- (+ x (cos y)) (* z (sin y)))
7.0ms
(* z (sin y))

simplify19.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (15.0ms)

IterNodesCost
05097320

prune53.0ms

Filtered
26 candidates to 38 candidates (-46.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New34438
Fresh000
Picked011
Done000
Total34539

Merged error: 0.0b

Counts
39 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

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 z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series91.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt z) (cbrt z))
21.0ms
(cbrt z)
21.0ms
(cbrt z)
23.0ms
(cbrt z)

simplify75.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
05837334

prune75.0ms

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

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New84185
Fresh123
Picked011
Done011
Total85590

Merged error: 0.0b

Counts
90 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (+ x (- (cos y) (* z (sin y))))) (cbrt (+ x (- (cos y) (* z (sin y))))))
0.5b
(cbrt (+ x (- (cos y) (* z (sin y)))))
0.5b
(cbrt (+ x (- (cos y) (* z (sin y)))))
0.5b
(cbrt (+ x (- (cos y) (* z (sin y)))))

rewrite24.0ms

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:
11.0ms
(* (cbrt (+ x (- (cos y) (* z (sin y))))) (cbrt (+ x (- (cos y) (* z (sin y))))))
4.0ms
(cbrt (+ x (- (cos y) (* z (sin y)))))
3.0ms
(cbrt (+ x (- (cos y) (* z (sin y)))))
4.0ms
(cbrt (+ x (- (cos y) (* z (sin y)))))

series219.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* (cbrt (+ x (- (cos y) (* z (sin y))))) (cbrt (+ x (- (cos y) (* z (sin y))))))
52.0ms
(cbrt (+ x (- (cos y) (* z (sin y)))))
50.0ms
(cbrt (+ x (- (cos y) (* z (sin y)))))
53.0ms
(cbrt (+ x (- (cos y) (* z (sin y)))))

simplify49.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
049552050
149552050

prune105.0ms

Filtered
72 candidates to 107 candidates (-48.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1061107
Fresh022
Picked011
Done022
Total1066112

Merged error: 0b

Counts
112 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sin y) (cbrt z))
0.3b
(* (cbrt (* z z)) (* (sin y) (cbrt z)))
0.6b
(cbrt z)
30.5b
(cbrt (* z z))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×pow1 add-exp-log
9×cbrt-prod add-cube-cbrt *-un-lft-identity
7×associate-*r* associate-*l* add-cbrt-cube
4×pow-prod-down prod-exp cbrt-unprod add-log-exp
2×pow1/3 *-commutative unswap-sqr
Counts
4 → 61
Calls
4 calls:
5.0ms
(* (sin y) (cbrt z))
6.0ms
(* (cbrt (* z z)) (* (sin y) (cbrt z)))
1.0ms
(cbrt z)
2.0ms
(cbrt (* z z))

series70.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* (sin y) (cbrt z))
9.0ms
(* (cbrt (* z z)) (* (sin y) (cbrt z)))
22.0ms
(cbrt z)
21.0ms
(cbrt (* z z))

simplify46.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
04918382
14918382

prune63.0ms

Filtered
53 candidates to 73 candidates (-37.7%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New73073
Fresh022
Picked011
Done033
Total73679

Merged error: 0b

Counts
79 → 6

regimes238.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109
1109

end0.0ms

sample1.5s

Algorithm
intervals
Results
438.0ms961×body1280valid
355.0ms5587×body80valid
240.0ms846×body640valid
83.0ms401×body320valid
31.0ms205×body160valid

Profiling

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