Details

Time bar (total: 4.0s)

sample42.0ms

Algorithm
intervals
Results
19.0ms746×body80valid

simplify55.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0184
1414
21024
32284
44114
57864
624694
750024

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (/ y x))
7.3b
(/ (* (cosh x) (/ y x)) z)

rewrite31.0ms

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:
1.0ms
(cosh x)
14.0ms
(* (cosh x) (/ y x))
13.0ms
(/ (* (cosh x) (/ y x)) z)

series221.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(cosh x)
73.0ms
(* (cosh x) (/ y x))
104.0ms
(/ (* (cosh x) (/ y x)) z)

simplify50.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0383433
11634372
25001368

prune182.0ms

Pruning

6 alts after pruning (6 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))) x)
0.0b
(fma (exp x) 1/2 (/ 1/2 (exp x)))
0.0b
(/ 1/2 (exp x))
5.4b
(* (/ y z) (/ (fma (exp x) 1/2 (/ 1/2 (exp x))) x))

rewrite39.0ms

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:
5.0ms
(/ (fma (exp x) 1/2 (/ 1/2 (exp x))) x)
0.0ms
(fma (exp x) 1/2 (/ 1/2 (exp x)))
6.0ms
(/ 1/2 (exp x))
24.0ms
(* (/ y z) (/ (fma (exp x) 1/2 (/ 1/2 (exp x))) x))

series237.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(/ (fma (exp x) 1/2 (/ 1/2 (exp x))) x)
38.0ms
(fma (exp x) 1/2 (/ 1/2 (exp x)))
8.0ms
(/ 1/2 (exp x))
128.0ms
(* (/ y z) (/ (fma (exp x) 1/2 (/ 1/2 (exp x))) x))

simplify66.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05091056
12478943
25002942

prune322.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x))))
0.0b
(fma (exp x) 1/2 (/ 1/2 (exp x)))
0.0b
(/ 1/2 (exp x))
5.0b
(/ (* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x)))) x)

rewrite39.0ms

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:
17.0ms
(* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x))))
0.0ms
(fma (exp x) 1/2 (/ 1/2 (exp x)))
6.0ms
(/ 1/2 (exp x))
13.0ms
(/ (* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x)))) x)

series262.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x))))
37.0ms
(fma (exp x) 1/2 (/ 1/2 (exp x)))
9.0ms
(/ 1/2 (exp x))
125.0ms
(/ (* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x)))) x)

simplify66.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0438829
12409711
25001710

prune278.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize11.0ms

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
(/ 1 (/ x (* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x))))))
5.0b
(/ x (* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x)))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
48×add-exp-log times-frac
31×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
29×add-cbrt-cube
25×div-exp
13×cbrt-undiv
12×associate-/r*
9×associate-/l*
8×prod-exp
7×div-inv
6×associate-/r/
5×pow1 associate-*l/
4×expm1-log1p-u rec-exp 1-exp cbrt-unprod log1p-expm1-u add-log-exp
3×frac-2neg clear-num
1×pow-flip fma-udef inv-pow
Counts
4 → 131
Calls
4 calls:
0.0ms
(fma (exp x) 1/2 (/ 1/2 (exp x)))
6.0ms
(/ 1/2 (exp x))
23.0ms
(/ 1 (/ x (* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x))))))
11.0ms
(/ x (* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x)))))

series261.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(fma (exp x) 1/2 (/ 1/2 (exp x)))
9.0ms
(/ 1/2 (exp x))
96.0ms
(/ 1 (/ x (* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x))))))
116.0ms
(/ x (* (/ y z) (fma (exp x) 1/2 (/ 1/2 (exp x)))))

simplify76.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
05441283
129031102
250011057

prune289.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes108.0ms

Accuracy

96.6% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 7.3b

bsearch78.0ms

Steps
ItersRangePoint
8
3.7882547797662947e-28
1.957456319457054e-24
3.033555916031553e-25
6
-8.645478429844785e-08
-7.56002747180116e-09
-3.383191592887116e-08

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02514
12514

end0.0ms

sample1.2s

Algorithm
intervals
Results
568.0ms22383×body80valid