Details

Time bar (total: 4.3s)

sample17.0ms

Algorithm
intervals
Results
8.0ms272×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)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.6b

Counts
2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

2.9b
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
3.4b
(/ (/ 1.0 x) (fma z z 1.0))

rewrite39.0ms

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:
16.0ms
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
6.0ms
(/ (/ 1.0 x) (fma z z 1.0))

series135.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
62.0ms
(/ (/ 1.0 x) (fma z z 1.0))

simplify115.0ms

Algorithm
egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
011482808
146382733
250022733

prune719.0ms

Filtered
272 candidates to 237 candidates (87.1%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New2639272
Fresh101
Picked101
Done000
Total2659274

Merged error: 3.1b

Counts
274 → 9

localize22.0ms

Local error

Found 4 expressions with local error:

2.2b
(/ (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt x) (cbrt x))) (* (cbrt (fma z z 1.0)) (cbrt (fma z z 1.0)))) (* (cbrt y) (cbrt y)))
15.5b
(cbrt (fma z z 1.0))
15.5b
(cbrt (fma z z 1.0))
15.5b
(cbrt (fma z z 1.0))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
121×add-exp-log
58×cbrt-undiv div-exp
47×add-cbrt-cube
37×prod-exp cbrt-unprod
21×times-frac
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod associate-/l*
5×div-inv
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
1×frac-2neg clear-num associate-/r* associate-/l/
Counts
4 → 115
Calls
4 calls:
18.0ms
(/ (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt x) (cbrt x))) (* (cbrt (fma z z 1.0)) (cbrt (fma z z 1.0)))) (* (cbrt y) (cbrt y)))
1.0ms
(cbrt (fma z z 1.0))
1.0ms
(cbrt (fma z z 1.0))
1.0ms
(cbrt (fma z z 1.0))

series872.0ms

Counts
4 → 12
Calls
4 calls:
363.0ms
(/ (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt x) (cbrt x))) (* (cbrt (fma z z 1.0)) (cbrt (fma z z 1.0)))) (* (cbrt y) (cbrt y)))
170.0ms
(cbrt (fma z z 1.0))
170.0ms
(cbrt (fma z z 1.0))
170.0ms
(cbrt (fma z z 1.0))

simplify99.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
08332110
137431575
250011385

prune384.0ms

Filtered
127 candidates to 78 candidates (61.4%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1270127
Fresh088
Picked011
Done000
Total1279136

Merged error: 3.1b

Counts
136 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ 1.0 (* (fma z z 1.0) x))
2.9b
(/ (/ 1.0 (* (fma z z 1.0) x)) y)
3.1b
(* (fma z z 1.0) x)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
25×add-sqr-sqrt
23×add-cube-cbrt *-un-lft-identity
19×add-exp-log add-cbrt-cube
10×associate-/l*
7×cbrt-undiv div-exp
6×div-inv
5×pow1
4×associate-/r*
3×expm1-log1p-u associate-*r* associate-*l* prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×pow-prod-down *-commutative associate-/l/ unswap-sqr
Counts
3 → 93
Calls
3 calls:
4.0ms
(/ 1.0 (* (fma z z 1.0) x))
6.0ms
(/ (/ 1.0 (* (fma z z 1.0) x)) y)
4.0ms
(* (fma z z 1.0) x)

series158.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(/ 1.0 (* (fma z z 1.0) x))
66.0ms
(/ (/ 1.0 (* (fma z z 1.0) x)) y)
40.0ms
(* (fma z z 1.0) x)

simplify49.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0414626
11769553
25001552

prune186.0ms

Filtered
102 candidates to 77 candidates (75.5%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1020102
Fresh077
Picked011
Done011
Total1029111

Merged error: 3.1b

Counts
111 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

1.7b
(/ (/ 1.0 (sqrt (fma z z 1.0))) (* y (* (sqrt (fma z z 1.0)) x)))
2.7b
(* y (* (sqrt (fma z z 1.0)) x))
15.0b
(sqrt (fma z z 1.0))
15.0b
(sqrt (fma z z 1.0))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
58×times-frac
35×add-sqr-sqrt
33×add-cube-cbrt *-un-lft-identity
30×add-exp-log add-cbrt-cube
24×sqrt-prod
22×associate-/l*
11×pow1
9×cbrt-undiv div-exp prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*l* pow-prod-down div-inv
2×rem-sqrt-square sqrt-pow1 pow1/2
1×frac-2neg associate-*r* clear-num associate-/r* *-commutative associate-/l/
Counts
4 → 120
Calls
4 calls:
11.0ms
(/ (/ 1.0 (sqrt (fma z z 1.0))) (* y (* (sqrt (fma z z 1.0)) x)))
5.0ms
(* y (* (sqrt (fma z z 1.0)) x))
1.0ms
(sqrt (fma z z 1.0))
2.0ms
(sqrt (fma z z 1.0))

series233.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(/ (/ 1.0 (sqrt (fma z z 1.0))) (* y (* (sqrt (fma z z 1.0)) x)))
61.0ms
(* y (* (sqrt (fma z z 1.0)) x))
54.0ms
(sqrt (fma z z 1.0))
53.0ms
(sqrt (fma z z 1.0))

simplify58.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05671118
12247960
25001891

prune423.0ms

Filtered
132 candidates to 94 candidates (71.2%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1311132
Fresh066
Picked011
Done022
Total13110141

Merged error: 3.1b

Counts
141 → 10

regimes195.0ms

Accuracy

69.9% (0.4b remaining)

Error of 5.1b against oracle of 4.7b and baseline of 5.9b

bsearch53.0ms

Steps
ItersRangePoint
6
3.3050860817723377e-21
1.3261300952414648e-20
4.337130840969958e-21
6
-1.167033680025666e-160
-1.840183851440567e-161
-1.152553010188792e-160

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03017
13017

end0.0ms

sample429.0ms

Algorithm
intervals
Results
258.0ms8648×body80valid