Details

Time bar (total: 3.2s)

sample28.0ms

Algorithm
intervals
Results
7.0ms175×body80valid
6.0ms26×body1280valid
4.0ms28×body640valid
2.0ms22×body320valid
0.0ms5×body160valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
1123
2163
3173
4173

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×associate-*r*
9×add-exp-log add-cbrt-cube
4×pow1
3×associate-*l* associate-/r* associate-/l*
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 63
Calls
2 calls:
3.0ms
(/ (sin y) y)
7.0ms
(* x (/ (sin y) y))

series82.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (sin y) y)
57.0ms
(* x (/ (sin y) y))

simplify35.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0218334
1998302
25001302

prune142.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sin y)) (cbrt (sin y)))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))

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×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 81
Calls
4 calls:
6.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))

series417.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
100.0ms
(cbrt (sin y))
109.0ms
(cbrt (sin y))
96.0ms
(cbrt (sin y))

simplify91.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0160483
1568430
23134398
35001392

prune221.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
5.3b
(* (/ x (* (cbrt y) (cbrt y))) (/ (sin y) (cbrt y)))

rewrite31.0ms

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×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 100
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
0.0ms
(cbrt y)
23.0ms
(* (/ x (* (cbrt y) (cbrt y))) (/ (sin y) (cbrt y)))

series617.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt y)
173.0ms
(cbrt y)
178.0ms
(cbrt y)
83.0ms
(* (/ x (* (cbrt y) (cbrt y))) (/ (sin y) (cbrt y)))

simplify63.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0438833
12355680
25002641

prune289.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (sin y))
9.0b
(/ (* x (sin y)) y)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity
4×pow1
3×times-frac associate-*r* associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 43
Calls
2 calls:
3.0ms
(* x (sin y))
4.0ms
(/ (* x (sin y)) y)

series93.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* x (sin y))
56.0ms
(/ (* x (sin y)) y)

simplify28.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0158203
1805172
25001172

prune82.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes126.0ms

Accuracy

0% (0.1b 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
053

end0.0ms

sample831.0ms

Algorithm
intervals
Results
243.0ms967×body1280valid
199.0ms5203×body80valid
143.0ms900×body640valid
66.0ms591×body320valid
27.0ms339×body160valid