Details

Time bar (total: 7.7s)

sample16.0ms

Algorithm
intervals
Results
7.0ms269×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0215
1404
2694
31044
41464
51604
61604

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.1b

localize10.0ms

Local error

Found 2 expressions with local error:

3.5b
(/ (/ 1.0 x) (fma z z 1.0))
3.9b
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)

rewrite36.0ms

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:
6.0ms
(/ (/ 1.0 x) (fma z z 1.0))
15.0ms
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)

series127.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(/ (/ 1.0 x) (fma z z 1.0))
68.0ms
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)

simplify124.0ms

Algorithm
egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
011482808
146382733
250032733

prune774.0ms

Filtered
272 candidates to 237 candidates (87.1%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.9b

localize11.0ms

Local error

Found 2 expressions with local error:

3.5b
(/ (/ 1.0 x) (fma z z 1.0))
4.0b
(* (/ (/ 1.0 x) (fma z z 1.0)) (/ 1 y))

rewrite43.0ms

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:
5.0ms
(/ (/ 1.0 x) (fma z z 1.0))
29.0ms
(* (/ (/ 1.0 x) (fma z z 1.0)) (/ 1 y))

series131.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(/ (/ 1.0 x) (fma z z 1.0))
70.0ms
(* (/ (/ 1.0 x) (fma z z 1.0)) (/ 1 y))

simplify93.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
08971380
140931235
250021223

prune439.0ms

Filtered
176 candidates to 137 candidates (77.8%)
Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 4.9b

localize13.0ms

Local error

Found 4 expressions with local error:

0.8b
(/ (/ (/ (cbrt 1.0) x) (sqrt (fma z z 1.0))) y)
1.2b
(* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (sqrt (fma z z 1.0))) (/ (/ (/ (cbrt 1.0) x) (sqrt (fma z z 1.0))) y))
14.9b
(sqrt (fma z z 1.0))
14.9b
(sqrt (fma z z 1.0))

rewrite516.0ms

Algorithm
rewrite-expression-head
Rules
2755×times-frac
1433×add-sqr-sqrt
1184×*-un-lft-identity
1168×add-cube-cbrt
534×sqrt-prod
412×associate-*r*
392×cbrt-prod
136×associate-/l*
133×add-exp-log
80×add-cbrt-cube
78×div-exp
58×div-inv
56×unswap-sqr
50×cbrt-undiv
46×associate-*l*
32×prod-exp
20×cbrt-unprod
8×pow1 1-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r*
2×rem-sqrt-square sqrt-pow1 pow1/2
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
4 → 1164
Calls
4 calls:
42.0ms
(/ (/ (/ (cbrt 1.0) x) (sqrt (fma z z 1.0))) y)
346.0ms
(* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (sqrt (fma z z 1.0))) (/ (/ (/ (cbrt 1.0) x) (sqrt (fma z z 1.0))) y))
1.0ms
(sqrt (fma z z 1.0))
1.0ms
(sqrt (fma z z 1.0))

series371.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(/ (/ (/ (cbrt 1.0) x) (sqrt (fma z z 1.0))) y)
144.0ms
(* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (sqrt (fma z z 1.0))) (/ (/ (/ (cbrt 1.0) x) (sqrt (fma z z 1.0))) y))
57.0ms
(sqrt (fma z z 1.0))
50.0ms
(sqrt (fma z z 1.0))

simplify245.0ms

Algorithm
egg-herbie
Counts
1176 → 1176
Iterations

Useful iterations: 1 (74.0ms)

IterNodesCost
0464019521
1500118994

prune3.6s

Filtered
1176 candidates to 767 candidates (65.2%)
Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 4.9b

localize12.0ms

Local error

Found 3 expressions with local error:

0.9b
(/ (/ 1.0 1) (* y (* (fma z z 1.0) x)))
3.1b
(* (fma z z 1.0) x)
3.6b
(* y (* (fma z z 1.0) x))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log
31×times-frac add-cbrt-cube
22×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
15×div-exp
13×prod-exp associate-/l*
10×pow1 cbrt-unprod
9×cbrt-undiv
6×associate-*l*
4×associate-*r* pow-prod-down
3×expm1-log1p-u 1-exp log1p-expm1-u div-inv add-log-exp
2×*-commutative
1×frac-2neg clear-num associate-/r* associate-/l/ unswap-sqr
Counts
3 → 95
Calls
3 calls:
9.0ms
(/ (/ 1.0 1) (* y (* (fma z z 1.0) x)))
3.0ms
(* (fma z z 1.0) x)
6.0ms
(* y (* (fma z z 1.0) x))

series160.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(/ (/ 1.0 1) (* y (* (fma z z 1.0) x)))
46.0ms
(* (fma z z 1.0) x)
45.0ms
(* y (* (fma z z 1.0) x))

simplify61.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0487623
12289499
25001475

prune174.0ms

Filtered
104 candidates to 60 candidates (57.7%)
Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 4.9b

regimes278.0ms

Accuracy

0% (1.6b remaining)

Error of 6.4b against oracle of 4.8b and baseline of 6.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094
194

end0.0ms

sample409.0ms

Algorithm
intervals
Results
240.0ms8602×body80valid