Details

Time bar (total: 5.2s)

sample76.0ms

Algorithm
intervals
Results
29.0ms106×body1280valid
14.0ms83×body640valid
14.0ms270×body80valid
4.0ms30×body320valid
2.0ms18×body160valid

simplify43.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1304
2664
31394
42714
55204
614914
750014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.0b
(/ (sinh y) y)
0.0b
(* (sin x) (/ (sinh y) y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity times-frac
13×associate-*r*
10×add-exp-log add-cbrt-cube
5×pow1
3×expm1-log1p-u associate-*l* associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×cbrt-undiv sinh-def div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
3 → 74
Calls
3 calls:
0.0ms
(sinh y)
3.0ms
(/ (sinh y) y)
9.0ms
(* (sin x) (/ (sinh y) y))

series242.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(sinh y)
84.0ms
(/ (sinh y) y)
99.0ms
(* (sin x) (/ (sinh y) y))

simplify41.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0348444
11367399
25001397

prune177.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt 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 y) (cbrt y))
1.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series711.0ms

Counts
4 → 12
Calls
4 calls:
189.0ms
(* (cbrt y) (cbrt y))
175.0ms
(cbrt y)
174.0ms
(cbrt y)
173.0ms
(cbrt y)

simplify86.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune210.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
11.7b
(/ (* (sin x) (sinh y)) y)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
5×pow1
3×expm1-log1p-u sinh-def times-frac associate-*r* associate-*l* associate-/r* log1p-expm1-u add-log-exp
2×cbrt-undiv associate-*r/ div-exp prod-exp cbrt-unprod
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l/ associate-/l* unswap-sqr
Counts
3 → 55
Calls
3 calls:
0.0ms
(sinh y)
4.0ms
(* (sin x) (sinh y))
4.0ms
(/ (* (sin x) (sinh y)) y)

series238.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(sinh y)
81.0ms
(* (sin x) (sinh y))
98.0ms
(/ (* (sin x) (sinh y)) y)

simplify37.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0291340
11275291
25001273

prune117.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(log1p (* (sin x) (sinh y)))
0.0b
(expm1 (log1p (* (sin x) (sinh y))))
0.1b
(* (sin x) (sinh y))
11.7b
(/ (expm1 (log1p (* (sin x) (sinh y)))) y)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
9×times-frac
8×add-exp-log add-cbrt-cube
6×pow1
5×expm1-log1p-u
4×log1p-expm1-u add-log-exp
3×associate-*r* associate-*l* associate-/r* associate-/l*
2×expm1-udef
1×cbrt-undiv sinh-def log1p-udef expm1-log1p frac-2neg div-sub log1p-expm1 associate-*r/ div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 73
Calls
4 calls:
0.0ms
(log1p (* (sin x) (sinh y)))
0.0ms
(expm1 (log1p (* (sin x) (sinh y))))
4.0ms
(* (sin x) (sinh y))
2.0ms
(/ (expm1 (log1p (* (sin x) (sinh y)))) y)

series550.0ms

Counts
4 → 12
Calls
4 calls:
156.0ms
(log1p (* (sin x) (sinh y)))
152.0ms
(expm1 (log1p (* (sin x) (sinh y))))
86.0ms
(* (sin x) (sinh y))
156.0ms
(/ (expm1 (log1p (* (sin x) (sinh y)))) y)

simplify41.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0301615
11081513
25001464

prune186.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes87.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
174

end0.0ms

sample2.2s

Algorithm
intervals
Results
876.0ms2930×body1280valid
463.0ms2549×body640valid
366.0ms8538×body80valid
156.0ms1219×body320valid
54.0ms614×body160valid