Details

Time bar (total: 5.7s)

sample103.0ms

Algorithm
intervals
Results
35.0ms106×body1280valid
22.0ms288×body80valid
21.0ms98×body640valid
7.0ms48×body320valid
2.0ms22×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: 0.3b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.0b
(/ (sinh y) y)
0.2b
(* (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:
1.0ms
(sinh y)
2.0ms
(/ (sinh y) y)
9.0ms
(* (sin x) (/ (sinh y) y))

series249.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(sinh y)
87.0ms
(/ (sinh y) y)
100.0ms
(* (sin x) (/ (sinh y) y))

simplify40.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0348444
11367399
25001397

prune186.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))
0.0b
(fma 1/120 (pow y 4) 1)
0.0b
(* (sin x) (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
5×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
4×fma-udef
3×expm1-log1p-u associate-*r* associate-*l* log1p-expm1-u add-log-exp
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 42
Calls
3 calls:
0.0ms
(fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))
0.0ms
(fma 1/120 (pow y 4) 1)
4.0ms
(* (sin x) (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))

series251.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))
91.0ms
(fma 1/120 (pow y 4) 1)
119.0ms
(* (sin x) (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))

simplify114.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 3 (109.0ms)

IterNodesCost
0153333
1686286
23913286
35001285

prune160.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 1/120 (pow y 4) 1)
0.0b
(* (sin x) (exp (log (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))))
0.0b
(exp (log (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))))
2.6b
(log (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
10×add-cube-cbrt log-prod *-un-lft-identity
8×pow1
7×exp-sum
6×add-exp-log associate-*r* add-cbrt-cube
4×expm1-log1p-u exp-prod log1p-expm1-u add-log-exp
3×associate-*l*
2×log-pow unswap-sqr
1×rem-log-exp pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef rem-exp-log
Counts
4 → 65
Calls
4 calls:
0.0ms
(fma 1/120 (pow y 4) 1)
8.0ms
(* (sin x) (exp (log (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))))
1.0ms
(exp (log (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))))
1.0ms
(log (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))

series368.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(fma 1/120 (pow y 4) 1)
124.0ms
(* (sin x) (exp (log (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))))
41.0ms
(exp (log (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))))
117.0ms
(log (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))

simplify137.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 3 (128.0ms)

IterNodesCost
0255578
1927503
24603485
35001483

prune271.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (cbrt (pow (log (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))) 3)))
0.0b
(pow (log (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))) 3)
0.0b
(cbrt (pow (log (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))) 3))
2.6b
(log (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-prod
17×exp-prod
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×pow1 unpow-prod-down cube-prod
7×log-pow
6×add-exp-log
5×add-cbrt-cube add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×cube-mult pow-unpow log-prod unpow3 sqr-pow
1×pow-to-exp pow-pow pow1/3 rem-log-exp pow-exp rem-cbrt-cube rem-exp-log rem-cube-cbrt
Counts
4 → 93
Calls
4 calls:
7.0ms
(exp (cbrt (pow (log (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))) 3)))
2.0ms
(pow (log (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))) 3)
2.0ms
(cbrt (pow (log (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))) 3))
1.0ms
(log (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))

series468.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(exp (cbrt (pow (log (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))) 3)))
187.0ms
(pow (log (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))) 3)
115.0ms
(cbrt (pow (log (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))) 3))
120.0ms
(log (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))

simplify62.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0499967
12012887
25003878

prune352.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

regimes50.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02320
12320

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.1s3108×body1280valid
568.0ms8775×body80valid
550.0ms2472×body640valid
195.0ms1172×body320valid
66.0ms580×body160valid