Details

Time bar (total: 3.0s)

analyze315.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
31.2%68.6%0.1%6
43.7%56.2%0.1%7
59.3%40.6%0.1%8
59.3%40.6%0.1%9
68.6%31.2%0.1%10
78%21.8%0.1%11
78%21.8%0.1%12
83.5%16.4%0.1%13
88.5%11.3%0.1%14

sample46.0ms

Algorithm
intervals
Results
15.0ms195×body80valid
13.0ms28×body1280valid
5.0ms20×body640valid
2.0ms9×body320valid
1.0ms4×body160valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (8.0ms)

IterNodesCost
02269
12269

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: 0.1b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
7×add-sqr-sqrt *-un-lft-identity
5×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
3×associate-*r* associate-*l*
2×diff-log sum-log
1×+-commutative sub-neg flip3-- flip3-+ pow-prod-down prod-exp associate--l+ *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
3 → 43
Calls
3 calls:
6.0ms
(- (+ x (cos y)) (* z (sin y)))
4.0ms
(+ x (cos y))
4.0ms
(* z (sin y))

series24.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(- (+ x (cos y)) (* z (sin y)))
5.0ms
(+ x (cos y))
8.0ms
(* z (sin y))

simplify43.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05209415

prune72.0ms

Filtered
37 candidates to 52 candidates (-40.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New46652
Fresh000
Picked011
Done000
Total46753

Merged error: 0b

Counts
53 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (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)

series88.0ms

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

simplify43.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05165356

prune91.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh055
Picked011
Done011
Total85792

Merged error: 0b

Counts
92 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
11.8b
(cbrt (* z (sin y)))
11.8b
(cbrt (* z (sin y)))
11.8b
(cbrt (* z (sin y)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
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 → 58
Calls
4 calls:
5.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
3.0ms
(cbrt (* z (sin y)))
3.0ms
(cbrt (* z (sin y)))
3.0ms
(cbrt (* z (sin y)))

series107.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
24.0ms
(cbrt (* z (sin y)))
22.0ms
(cbrt (* z (sin y)))
22.0ms
(cbrt (* z (sin y)))

simplify54.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
05014447

prune80.0ms

Filtered
52 candidates to 70 candidates (-34.6%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New70070
Fresh044
Picked011
Done022
Total70777

Merged error: 0b

Counts
77 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

1.3b
(* z (* z (* (sin y) (sin y))))
1.4b
(- (* (+ x (cos y)) (+ x (cos y))) (* z (* z (* (sin y) (sin y)))))
4.4b
(* z (* (sin y) (sin y)))
21.0b
(/ (- (* (+ x (cos y)) (+ x (cos y))) (* z (* z (* (sin y) (sin y))))) (+ (* z (sin y)) (+ x (cos y))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
39×associate-*r/
20×add-exp-log add-cbrt-cube
18×pow1 sin-mult
16×frac-sub
15×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
13×flip3-+ flip-+
10×associate-/l/
9×times-frac pow-prod-down prod-exp cbrt-unprod
8×frac-times
6×associate-*l* add-log-exp
4×associate-*l/
3×associate-/r* associate-/l*
2×flip3-- associate-*r* associate--l+ associate-/r/ *-commutative flip--
1×cbrt-undiv distribute-rgt-in sub-neg frac-2neg distribute-lft-in diff-log div-sub div-exp clear-num div-inv unswap-sqr
Counts
4 → 103
Calls
4 calls:
8.0ms
(* z (* z (* (sin y) (sin y))))
11.0ms
(- (* (+ x (cos y)) (+ x (cos y))) (* z (* z (* (sin y) (sin y)))))
6.0ms
(* z (* (sin y) (sin y)))
18.0ms
(/ (- (* (+ x (cos y)) (+ x (cos y))) (* z (* z (* (sin y) (sin y))))) (+ (* z (sin y)) (+ x (cos y))))

series90.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* z (* z (* (sin y) (sin y))))
26.0ms
(- (* (+ x (cos y)) (+ x (cos y))) (* z (* z (* (sin y) (sin y)))))
9.0ms
(* z (* (sin y) (sin y)))
45.0ms
(/ (- (* (+ x (cos y)) (+ x (cos y))) (* z (* z (* (sin y) (sin y))))) (+ (* z (sin y)) (+ x (cos y))))

simplify35.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
050222589

prune134.0ms

Filtered
89 candidates to 115 candidates (-29.2%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1150115
Fresh033
Picked011
Done033
Total1157122

Merged error: 0b

Counts
122 → 7

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 (1.0ms)

IterNodesCost
0369
1369

end0.0ms

sample1.4s

Algorithm
intervals
Results
446.0ms960×body1280valid
357.0ms5607×body80valid
229.0ms808×body640valid
86.0ms422×body320valid
28.0ms202×body160valid
2.0ms1×body2560valid

Profiling

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