Details

Time bar (total: 6.2s)

sample33.0ms

Algorithm
intervals
Results
15.0ms281×body80valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0215
1404
2694
31044
41464
51604
61604

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.0b

localize7.0ms

Local error

Found 2 expressions with local error:

2.1b
(/ (/ 1.0 x) (fma z z 1.0))
2.9b
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
468×times-frac
228×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
56×associate-/l*
22×div-inv
16×add-exp-log add-cbrt-cube
9×cbrt-undiv div-exp
6×associate-/r*
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
Counts
2 → 266
Calls
2 calls:
11.0ms
(/ (/ 1.0 x) (fma z z 1.0))
25.0ms
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)

series146.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(/ (/ 1.0 x) (fma z z 1.0))
76.0ms
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)

simplify101.0ms

Algorithm
egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
011482808
146382733
250032733

prune938.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.8b

localize11.0ms

Local error

Found 2 expressions with local error:

2.1b
(/ (/ 1.0 x) (fma z z 1.0))
3.0b
(* (/ (/ 1.0 x) (fma z z 1.0)) (/ 1 y))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
165×times-frac
116×add-sqr-sqrt
89×*-un-lft-identity
86×add-cube-cbrt
46×add-exp-log
43×associate-*l*
28×add-cbrt-cube
21×div-exp
13×associate-*r* associate-/l*
12×cbrt-undiv prod-exp
10×div-inv
9×unswap-sqr
6×cbrt-unprod
4×pow1
3×rec-exp 1-exp associate-/r*
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num un-div-inv *-commutative associate-/l/
Counts
2 → 170
Calls
2 calls:
12.0ms
(/ (/ 1.0 x) (fma z z 1.0))
43.0ms
(* (/ (/ 1.0 x) (fma z z 1.0)) (/ 1 y))

series128.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(/ (/ 1.0 x) (fma z z 1.0))
67.0ms
(* (/ (/ 1.0 x) (fma z z 1.0)) (/ 1 y))

simplify88.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
08971380
140931235
250021223

prune442.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 2.8b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
2.0b
(/ (/ (/ 1.0 x) (sqrt (fma z z 1.0))) (cbrt y))
12.7b
(sqrt (fma z z 1.0))
12.7b
(sqrt (fma z z 1.0))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
1416×times-frac
658×add-sqr-sqrt
656×add-cube-cbrt *-un-lft-identity
279×sqrt-prod
252×cbrt-prod
82×associate-/l*
50×div-inv
13×add-exp-log
10×add-cbrt-cube
6×pow1 cbrt-undiv div-exp associate-/r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2
1×frac-2neg pow1/3 clear-num associate-/l/
Counts
4 → 642
Calls
4 calls:
1.0ms
(cbrt y)
43.0ms
(/ (/ (/ 1.0 x) (sqrt (fma z z 1.0))) (cbrt y))
2.0ms
(sqrt (fma z z 1.0))
2.0ms
(sqrt (fma z z 1.0))

series456.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt y)
177.0ms
(/ (/ (/ 1.0 x) (sqrt (fma z z 1.0))) (cbrt y))
49.0ms
(sqrt (fma z z 1.0))
57.0ms
(sqrt (fma z z 1.0))

simplify114.0ms

Algorithm
egg-herbie
Counts
654 → 654
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
021299925
150029729

prune2.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 2.8b

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ 1 (fma z z 1.0))
2.8b
(* (/ 1.0 x) (* (/ 1 (fma z z 1.0)) (/ 1 y)))
3.3b
(* (/ 1 (fma z z 1.0)) (/ 1 y))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
180×add-exp-log
82×prod-exp
67×div-exp
58×add-cbrt-cube
56×add-sqr-sqrt
48×times-frac
38×*-un-lft-identity
32×add-cube-cbrt
26×associate-*l*
25×rec-exp 1-exp
22×cbrt-unprod
18×cbrt-undiv
14×associate-*r*
13×pow1
9×unswap-sqr
7×frac-times associate-*r/
6×pow-prod-down
4×associate-*l/ div-inv
3×expm1-log1p-u pow-flip associate-/r* un-div-inv log1p-expm1-u associate-/l* inv-pow add-log-exp
2×*-commutative
1×frac-2neg clear-num
Counts
3 → 184
Calls
3 calls:
6.0ms
(/ 1 (fma z z 1.0))
54.0ms
(* (/ 1.0 x) (* (/ 1 (fma z z 1.0)) (/ 1 y)))
26.0ms
(* (/ 1 (fma z z 1.0)) (/ 1 y))

series173.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ 1 (fma z z 1.0))
75.0ms
(* (/ 1.0 x) (* (/ 1 (fma z z 1.0)) (/ 1 y)))
51.0ms
(* (/ 1 (fma z z 1.0)) (/ 1 y))

simplify83.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
08731297
137921066
25001985

prune305.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 2.8b

regimes102.0ms

Accuracy

0% (1.3b remaining)

Error of 6.0b against oracle of 4.7b and baseline of 6.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084

end0.0ms

sample487.0ms

Algorithm
intervals
Results
235.0ms8666×body80valid