Details

Time bar (total: 6.4s)

sample39.0ms

Algorithm
intervals
Results
10.0ms185×body80valid
8.0ms26×body1280valid
8.0ms36×body640valid
2.0ms16×body320valid
1.0ms10×body160valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0124
1244
2484
3714
4794
5794

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.3b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
3.3b
(/ (* x (/ (sin y) y)) z)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
22×times-frac
21×add-cube-cbrt *-un-lft-identity
19×add-exp-log add-cbrt-cube
13×associate-*r*
6×cbrt-undiv div-exp associate-/r*
5×pow1
4×prod-exp cbrt-unprod associate-/l*
3×expm1-log1p-u associate-*l* log1p-expm1-u div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 89
Calls
3 calls:
8.0ms
(* x (/ (sin y) y))
7.0ms
(/ (sin y) y)
5.0ms
(/ (* x (/ (sin y) y)) z)

series139.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(* x (/ (sin y) y))
27.0ms
(/ (sin y) y)
63.0ms
(/ (* x (/ (sin y) y)) z)

simplify45.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0333511
11655443
25001443

prune207.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin y) y)
0.1b
(/ z (/ (sin y) y))
1.0b
(/ x (/ z (/ (sin y) y)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
480×times-frac
238×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
60×associate-/r*
23×div-inv
19×add-exp-log add-cbrt-cube
10×cbrt-undiv div-exp
9×associate-/l*
6×associate-/r/
3×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
Counts
3 → 299
Calls
3 calls:
3.0ms
(/ (sin y) y)
5.0ms
(/ z (/ (sin y) y))
13.0ms
(/ x (/ z (/ (sin y) y)))

series178.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ (sin y) y)
68.0ms
(/ z (/ (sin y) y))
84.0ms
(/ x (/ z (/ (sin y) y)))

simplify63.0ms

Algorithm
egg-herbie
Counts
308 → 308
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
011172974
150012852

prune806.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt y)
0.7b
(cbrt y)
0.7b
(cbrt y)
1.1b
(* (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y))) (/ x (/ z (/ (cbrt (sin y)) (cbrt y)))))

rewrite235.0ms

Algorithm
rewrite-expression-head
Rules
1097×times-frac
533×add-sqr-sqrt
482×add-cube-cbrt *-un-lft-identity
380×associate-*r*
341×cbrt-prod
106×add-exp-log
64×add-cbrt-cube
46×cbrt-undiv div-exp
36×prod-exp cbrt-unprod
14×div-inv unswap-sqr
6×pow1
5×associate-*l*
4×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
3×pow1/3
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 492
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)
182.0ms
(* (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y))) (/ x (/ z (/ (cbrt (sin y)) (cbrt y)))))

series638.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt y)
187.0ms
(cbrt y)
180.0ms
(cbrt y)
90.0ms
(* (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y))) (/ x (/ z (/ (cbrt (sin y)) (cbrt y)))))

simplify144.0ms

Algorithm
egg-herbie
Counts
504 → 504
Iterations

Useful iterations: 1 (74.0ms)

IterNodesCost
038759583
150019242

prune2.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (sin y) y)
1.8b
(* (/ x z) (/ (sin y) y))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
31×times-frac
24×add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
13×associate-*r* associate-*l*
5×cbrt-undiv div-exp
4×pow1 prod-exp cbrt-unprod unswap-sqr
3×associate-/r* div-inv associate-/l*
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 81
Calls
2 calls:
3.0ms
(/ (sin y) y)
17.0ms
(* (/ x z) (/ (sin y) y))

series103.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ (sin y) y)
79.0ms
(* (/ x z) (/ (sin y) y))

simplify44.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0375506
11719450
25001450

prune190.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes148.0ms

Accuracy

0% (3.2b remaining)

Error of 3.3b against oracle of 0.0b and baseline of 3.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074

end0.0ms

sample1.2s

Algorithm
intervals
Results
345.0ms1054×body1280valid
338.0ms5821×body80valid
206.0ms952×body640valid
94.0ms570×body320valid
33.0ms293×body160valid