Details

Time bar (total: 5.0s)

sample37.0ms

Algorithm
intervals
Results
11.0ms258×body80valid
10.0ms227×body80nan

simplify73.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (9.0ms)

IterNodesCost
0216
1636
22126
37255
418825
532315
645745
750015

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: 0.1b

Counts
2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (- (fma (log y) (+ y 0.5) z) y))
0.1b
(fma (log y) (+ y 0.5) z)
0.1b
(- (fma (log y) (+ y 0.5) z) y)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
35×add-sqr-sqrt
33×prod-diff
25×add-cube-cbrt
12×associate--r+
10×add-log-exp
7×distribute-lft-out--
6×fma-neg
5×difference-of-squares
4×diff-log
3×pow1 add-exp-log expm1-log1p-u sub-neg add-cbrt-cube fma-udef log1p-expm1-u
2×flip3-- associate--l+ flip--
1×associate--r-
Counts
3 → 88
Calls
3 calls:
7.0ms
(- x (- (fma (log y) (+ y 0.5) z) y))
1.0ms
(fma (log y) (+ y 0.5) z)
4.0ms
(- (fma (log y) (+ y 0.5) z) y)

series124.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(- x (- (fma (log y) (+ y 0.5) z) y))
35.0ms
(fma (log y) (+ y 0.5) z)
46.0ms
(- (fma (log y) (+ y 0.5) z) y)

simplify54.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04041160
11496822
25003746

prune180.0ms

Filtered
97 candidates to 61 candidates (62.9%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New91697
Fresh011
Picked101
Done000
Total92799

Merged error: 0b

Counts
99 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
0.0b
(- x (* (+ y 0.5) (log y)))
0.1b
(+ (- x (* (+ y 0.5) (log y))) y)
0.1b
(* (+ y 0.5) (log y))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
26×add-sqr-sqrt
22×add-cube-cbrt
20×add-log-exp
18×prod-diff
12×log-prod
7×pow1 fma-neg distribute-lft-out
6×add-exp-log distribute-rgt-in distribute-lft-in diff-log add-cbrt-cube associate--r+
5×associate-+l+
4×expm1-log1p-u associate-*r* associate-*l* sum-log log1p-expm1-u
3×sub-neg fma-def
2×associate-+l- flip3-- flip3-+ associate-*l/ flip-- flip-+ distribute-lft-out--
1×+-commutative associate--l- pow-prod-down prod-exp associate--l+ log-pow *-commutative cbrt-unprod difference-of-squares unswap-sqr
Counts
4 → 117
Calls
4 calls:
8.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
4.0ms
(- x (* (+ y 0.5) (log y)))
6.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
7.0ms
(* (+ y 0.5) (log y))

series364.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
34.0ms
(- x (* (+ y 0.5) (log y)))
45.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
234.0ms
(* (+ y 0.5) (log y))

simplify60.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05391002
12085847
25002829

prune233.0ms

Filtered
129 candidates to 92 candidates (71.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1281129
Fresh336
Picked011
Done000
Total1315136

Merged error: 0b

Counts
136 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (+ y 0.5) (* 2 (log (cbrt y))))
0.3b
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
49×distribute-rgt-in distribute-lft-in
48×log-prod
30×cbrt-prod
25×*-un-lft-identity
24×associate-+l+
23×add-sqr-sqrt add-cube-cbrt
9×pow1 add-exp-log add-cbrt-cube
6×flip3-+ associate-*l/ flip-+ add-log-exp
4×expm1-log1p-u associate-*r/ associate-*l* frac-add log1p-expm1-u
3×pow-prod-down prod-exp cbrt-unprod
2×associate-+r+ pow1/3
1×+-commutative fma-def associate-*r* sum-log *-commutative distribute-lft-out
Counts
4 → 117
Calls
4 calls:
9.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
12.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.5s

Counts
4 → 12
Calls
4 calls:
444.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
752.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
168.0ms
(cbrt y)
180.0ms
(cbrt y)

simplify85.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
06811127
12712983
25001947

prune348.0ms

Filtered
129 candidates to 100 candidates (77.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1290129
Fresh033
Picked011
Done011
Total1295134

Merged error: 0b

Counts
134 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(log (/ 1 y))
0.0b
(+ (fma (log (/ 1 y)) y y) (- x z))
0.3b
(fma (log (/ 1 y)) y y)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
17×add-sqr-sqrt add-cube-cbrt
13×log-prod
11×associate-+r+
9×times-frac prod-diff
8×add-exp-log add-log-exp
5×pow1
4×rem-log-exp
3×expm1-log1p-u fma-def log-pow add-cbrt-cube log1p-expm1-u
2×div-exp sum-log fma-udef distribute-lft-out
1×+-commutative associate-+r- sub-neg log-div rec-exp associate-+l+ pow-flip flip3-+ diff-log 1-exp log-rec flip-+ div-inv distribute-lft-out-- inv-pow
Counts
3 → 73
Calls
3 calls:
3.0ms
(log (/ 1 y))
6.0ms
(+ (fma (log (/ 1 y)) y y) (- x z))
1.0ms
(fma (log (/ 1 y)) y y)

series375.0ms

Counts
3 → 9
Calls
3 calls:
154.0ms
(log (/ 1 y))
48.0ms
(+ (fma (log (/ 1 y)) y y) (- x z))
174.0ms
(fma (log (/ 1 y)) y y)

simplify50.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0326453
11036384
25002356

prune199.0ms

Filtered
82 candidates to 61 candidates (74.4%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New82082
Fresh022
Picked011
Done022
Total82587

Merged error: 0b

Counts
87 → 5

regimes129.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0136
1136

end0.0ms

sample1.0s

Algorithm
intervals
Results
363.0ms8045×body80valid
280.0ms7727×body80nan
0.0ms1×body640valid