Details

Time bar (total: 3.8s)

sample54.0ms

Algorithm
intervals
Results
34.0ms727×body80valid

simplify59.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0184
1414
21024
32284
44114
57864
624694
750024

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.5b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
8.0b
(/ (* (cosh x) (/ y x)) z)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
13×times-frac associate-*r*
12×add-cube-cbrt *-un-lft-identity
5×cbrt-undiv div-exp
4×pow1 cosh-def prod-exp cbrt-unprod
3×associate-*l* associate-/r* associate-/l/
2×expm1-log1p-u frac-times associate-*r/ associate-*l/ log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
2 → 64
Calls
2 calls:
8.0ms
(* (cosh x) (/ y x))
6.0ms
(/ (* (cosh x) (/ y x)) z)

series201.0ms

Counts
2 → 6
Calls
2 calls:
81.0ms
(* (cosh x) (/ y x))
119.0ms
(/ (* (cosh x) (/ y x)) z)

simplify43.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0352391
11472333
25001333

prune162.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (cosh x) (/ y (* x z)))
5.6b
(/ y (* x z))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity associate-*r*
6×times-frac
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv div-exp
3×associate-*l* associate-/l*
2×expm1-log1p-u cosh-def log1p-expm1-u div-inv add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* *-commutative unswap-sqr
Counts
2 → 54
Calls
2 calls:
9.0ms
(* (cosh x) (/ y (* x z)))
3.0ms
(/ y (* x z))

series136.0ms

Counts
2 → 6
Calls
2 calls:
115.0ms
(* (cosh x) (/ y (* x z)))
21.0ms
(/ y (* x z))

simplify37.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0266305
11075254
25001252

prune130.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

3.3b
(cbrt (/ y (* x z)))
5.6b
(/ y (* x z))
5.6b
(/ y (* x z))
5.6b
(/ y (* x z))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log add-cbrt-cube
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
9×associate-/l*
7×cbrt-prod
6×cbrt-undiv div-exp
4×pow1 expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod
1×cbrt-div pow1/3
Counts
4 → 87
Calls
4 calls:
2.0ms
(cbrt (/ y (* x z)))
3.0ms
(/ y (* x z))
3.0ms
(/ y (* x z))
3.0ms
(/ y (* x z))

series153.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(cbrt (/ y (* x z)))
26.0ms
(/ y (* x z))
20.0ms
(/ y (* x z))
20.0ms
(/ y (* x z))

simplify54.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (48.0ms)

IterNodesCost
0185402
1544339
22218337
35001325

prune268.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (exp x) 1/2 (/ 1/2 (exp x)))
0.0b
(/ 1/2 (exp x))
0.3b
(* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x))))
7.8b
(/ (* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x)))) x)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity times-frac
20×add-cbrt-cube
19×add-exp-log
13×associate-*l*
6×pow1 cbrt-undiv div-exp associate-/r*
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u associate-/l* add-log-exp
3×associate-*r* fma-udef div-inv
2×frac-2neg associate-*l/ clear-num unswap-sqr
1×distribute-rgt-in distribute-lft-in pow-prod-down *-commutative associate-/l/
Counts
4 → 101
Calls
4 calls:
0.0ms
(fma (exp x) 1/2 (/ 1/2 (exp x)))
3.0ms
(/ 1/2 (exp x))
7.0ms
(* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x))))
5.0ms
(/ (* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x)))) x)

series287.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(fma (exp x) 1/2 (/ 1/2 (exp x)))
9.0ms
(/ 1/2 (exp x))
100.0ms
(* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x))))
141.0ms
(/ (* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x)))) x)

simplify72.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0438829
12409711
25001710

prune285.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes173.0ms

Accuracy

89.5% (0.8b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 7.2b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03225
13225

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.0s22409×body80valid