Details

Time bar (total: 4.0s)

sample38.0ms

Algorithm
intervals
Results
19.0ms737×body80valid

simplify54.0ms

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: 6.7b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (/ y x))
6.3b
(/ (* (cosh x) (/ y x)) z)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
17×add-exp-log add-cbrt-cube
13×add-cube-cbrt *-un-lft-identity times-frac associate-*r*
5×pow1 cbrt-undiv cosh-def div-exp
4×prod-exp cbrt-unprod
3×expm1-log1p-u associate-*l* associate-/r* log1p-expm1-u associate-/l/ add-log-exp
2×frac-times associate-*r/ associate-*l/ div-inv unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
3 → 74
Calls
3 calls:
0.0ms
(cosh x)
8.0ms
(* (cosh x) (/ y x))
6.0ms
(/ (* (cosh x) (/ y x)) z)

series236.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(cosh x)
77.0ms
(* (cosh x) (/ y x))
116.0ms
(/ (* (cosh x) (/ y x)) z)

simplify48.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0383433
11634372
25001368

prune190.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (exp x) 1/2 (/ 1/2 (exp x)))
0.0b
(/ (fma (exp x) 1/2 (/ 1/2 (exp x))) x)
0.0b
(/ 1/2 (exp x))
6.6b
(* (/ y z) (/ (fma (exp x) 1/2 (/ 1/2 (exp x))) x))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
40×times-frac
34×add-cube-cbrt *-un-lft-identity
20×add-cbrt-cube
19×add-exp-log
13×associate-*r* associate-*l*
6×pow1 cbrt-undiv div-exp associate-/r* associate-/l*
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
2×frac-2neg clear-num
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative fma-udef
Counts
4 → 120
Calls
4 calls:
0.0ms
(fma (exp x) 1/2 (/ 1/2 (exp x)))
2.0ms
(/ (fma (exp x) 1/2 (/ 1/2 (exp x))) x)
3.0ms
(/ 1/2 (exp x))
14.0ms
(* (/ y z) (/ (fma (exp x) 1/2 (/ 1/2 (exp x))) x))

series256.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(fma (exp x) 1/2 (/ 1/2 (exp x)))
68.0ms
(/ (fma (exp x) 1/2 (/ 1/2 (exp x))) x)
9.0ms
(/ 1/2 (exp x))
143.0ms
(* (/ y z) (/ (fma (exp x) 1/2 (/ 1/2 (exp x))) x))

simplify68.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05091056
12478943
25002942

prune351.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize12.0ms

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))
0.0b
(* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x))))
6.6b
(/ (* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x)))) x)

rewrite20.0ms

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))
8.0ms
(* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x))))
6.0ms
(/ (* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x)))) x)

series288.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(fma (exp x) 1/2 (/ 1/2 (exp x)))
15.0ms
(/ 1/2 (exp x))
100.0ms
(* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x))))
136.0ms
(/ (* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x)))) x)

simplify65.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0438829
12409711
25001710

prune271.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1/2 (exp x))
0.0b
(* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x))))
0.5b
(/ 1 (/ x (* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x))))))
6.4b
(/ x (* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x)))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
58×times-frac
53×add-exp-log
44×add-sqr-sqrt
39×add-cube-cbrt *-un-lft-identity
34×add-cbrt-cube
26×div-exp
14×cbrt-undiv
13×associate-*l*
12×associate-/r*
10×prod-exp
9×associate-/l*
8×div-inv
7×pow1
6×associate-*l/ associate-/r/ cbrt-unprod
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×frac-2neg associate-*r* clear-num
2×fma-udef unswap-sqr
1×distribute-rgt-in pow-flip distribute-lft-in pow-prod-down *-commutative inv-pow
Counts
4 → 157
Calls
4 calls:
3.0ms
(/ 1/2 (exp x))
8.0ms
(* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x))))
10.0ms
(/ 1 (/ x (* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x))))))
5.0ms
(/ x (* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x)))))

series377.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(/ 1/2 (exp x))
107.0ms
(* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x))))
101.0ms
(/ 1 (/ x (* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x))))))
160.0ms
(/ x (* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x)))))

simplify91.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
06281539
134781325
250031279

prune352.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes166.0ms

Accuracy

88.3% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 6.9b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03328
13328

end0.0ms

sample1.0s

Algorithm
intervals
Results
597.0ms22530×body80valid