Details

Time bar (total: 3.2s)

sample41.0ms

Algorithm
intervals
Results
21.0ms794×body80valid

simplify60.0ms

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: 8.8b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
8.3b
(/ (* (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)

series193.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(* (cosh x) (/ y x))
119.0ms
(/ (* (cosh x) (/ y x)) z)

simplify50.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0352391
11472333
25001333

prune150.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) y)
6.7b
(/ (* (cosh x) y) (* z x))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
6×add-sqr-sqrt
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv add-cube-cbrt *-un-lft-identity div-exp
3×associate-*r* associate-*l*
2×expm1-log1p-u cosh-def associate-*l/ log1p-expm1-u add-log-exp
1×frac-2neg times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l/ associate-/l* unswap-sqr
Counts
2 → 45
Calls
2 calls:
3.0ms
(* (cosh x) y)
8.0ms
(/ (* (cosh x) y) (* z x))

series185.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(* (cosh x) y)
112.0ms
(/ (* (cosh x) y) (* z x))

simplify43.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0289272
11392217
25001215

prune108.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ (cosh x) (/ (* z x) y))
6.5b
(/ (* z x) y)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
10×associate-/r*
7×cbrt-undiv div-exp
6×div-inv
4×associate-/l*
2×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u add-log-exp
1×cosh-def associate-/r/ associate-/l/
Counts
2 → 74
Calls
2 calls:
5.0ms
(/ (cosh x) (/ (* z x) y))
3.0ms
(/ (* z x) y)

series159.0ms

Counts
2 → 6
Calls
2 calls:
142.0ms
(/ (cosh x) (/ (* z x) y))
17.0ms
(/ (* z x) y)

simplify44.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0361505
11611453
25002448

prune175.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (cosh x) (* z x))
7.3b
(/ (/ (cosh x) (* z x)) (/ 1 y))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
208×times-frac
88×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
46×add-exp-log
28×div-exp add-cbrt-cube
24×div-inv
15×cbrt-undiv
14×associate-/r*
10×associate-/l*
5×prod-exp
3×rec-exp 1-exp cbrt-unprod
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
1×cosh-def associate-/r/
Counts
2 → 167
Calls
2 calls:
3.0ms
(/ (cosh x) (* z x))
10.0ms
(/ (/ (cosh x) (* z x)) (/ 1 y))

series218.0ms

Counts
2 → 6
Calls
2 calls:
78.0ms
(/ (cosh x) (* z x))
139.0ms
(/ (/ (cosh x) (* z x)) (/ 1 y))

simplify93.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
09311704
143491473
250021333

prune246.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes147.0ms

Accuracy

90% (0.7b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 6.9b

bsearch78.0ms

Steps
ItersRangePoint
9
1.5467057172253486e+36
5.1228789933484685e+41
3.739139840345061e+37
6
-1.1330970843476331e+89
-1.2963824143438745e+88
-1.3159694493115124e+88

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02313
12313

end0.0ms

sample1.1s

Algorithm
intervals
Results
613.0ms22552×body80valid