Details

Time bar (total: 6.7s)

sample69.0ms

Algorithm
intervals
Results
28.0ms807×body80nan
10.0ms257×body80valid

simplify34.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (9.0ms)

IterNodesCost
0216
1526
21346
32826
45415
57525
69685
711995
813275
913275

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
16×prod-diff
14×add-sqr-sqrt
12×add-cube-cbrt
9×pow1
7×log-pow
6×distribute-lft-out
5×add-log-exp
4×fma-neg distribute-lft-out--
3×log-prod associate--l+
2×add-exp-log expm1-log1p-u diff-log add-cbrt-cube log1p-expm1-u
1×sub-neg flip3-- sum-log flip-- fma-udef associate--r+ difference-of-squares
Counts
2 → 54
Calls
2 calls:
11.0ms
(- (log t) (+ y z))
0.0ms
(fma (log y) x (- (log t) (+ y z)))

series88.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(- (log t) (+ y z))
53.0ms
(fma (log y) x (- (log t) (+ y z)))

simplify98.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0242500
1768348
24200307
35001307

prune136.0ms

Filtered
60 candidates to 36 candidates (60.0%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
89×*-un-lft-identity
48×prod-diff
44×log-pow
37×pow1
36×add-sqr-sqrt
34×add-cube-cbrt
32×associate-+r+
28×distribute-lft-out
24×log-prod
12×associate--l+ sqrt-prod distribute-lft-out--
11×sqrt-pow1 pow1/2 add-log-exp
6×associate-+l+ fma-def fma-neg
5×add-exp-log sum-log
4×expm1-log1p-u diff-log add-cbrt-cube log1p-expm1-u
2×sub-neg
1×+-commutative associate-+r- flip3-- flip3-+ rem-log-exp flip-- flip-+ fma-udef associate--r+ difference-of-squares
Counts
4 → 156
Calls
4 calls:
1.0ms
(log (sqrt t))
14.0ms
(- (log (sqrt t)) (+ y z))
39.0ms
(+ (log (sqrt t)) (- (log (sqrt t)) (+ y z)))
0.0ms
(fma (log y) x (+ (log (sqrt t)) (- (log (sqrt t)) (+ y z))))

series321.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(log (sqrt t))
82.0ms
(- (log (sqrt t)) (+ y z))
103.0ms
(+ (log (sqrt t)) (- (log (sqrt t)) (+ y z)))
72.0ms
(fma (log y) x (+ (log (sqrt t)) (- (log (sqrt t)) (+ y z))))

simplify47.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
04561431
113521080
25001947

prune364.0ms

Filtered
168 candidates to 93 candidates (55.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ y z))
0.6b
(* (cbrt (+ y z)) (cbrt (+ y z)))
0.6b
(* (cbrt (+ y z)) (cbrt (+ y z)))
62.3b
(fma (- (cbrt (+ y z))) (* (cbrt (+ y z)) (cbrt (+ y z))) (* (cbrt (+ y z)) (* (cbrt (+ y z)) (cbrt (+ y z)))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
52×cbrt-prod
51×*-un-lft-identity
37×add-sqr-sqrt
26×cbrt-div
21×add-cube-cbrt
18×pow1 swap-sqr
14×associate-*r* associate-*l*
13×flip3-+ pow1/3 flip-+ distribute-lft-out
8×add-exp-log frac-times unswap-sqr
4×expm1-log1p-u associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up add-cbrt-cube log1p-expm1-u add-log-exp
2×pow2 pow-plus prod-exp *-commutative cbrt-unprod
1×fma-udef
Counts
4 → 136
Calls
4 calls:
2.0ms
(cbrt (+ y z))
22.0ms
(* (cbrt (+ y z)) (cbrt (+ y z)))
19.0ms
(* (cbrt (+ y z)) (cbrt (+ y z)))
0.0ms
(fma (- (cbrt (+ y z))) (* (cbrt (+ y z)) (cbrt (+ y z))) (* (cbrt (+ y z)) (* (cbrt (+ y z)) (cbrt (+ y z)))))

series524.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(cbrt (+ y z))
163.0ms
(* (cbrt (+ y z)) (cbrt (+ y z)))
157.0ms
(* (cbrt (+ y z)) (cbrt (+ y z)))
74.0ms
(fma (- (cbrt (+ y z))) (* (cbrt (+ y z)) (cbrt (+ y z))) (* (cbrt (+ y z)) (* (cbrt (+ y z)) (cbrt (+ y z)))))

simplify43.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
02751142
110171049
25002963

prune521.0ms

Filtered
148 candidates to 98 candidates (66.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (fma (log y) x (+ (log (sqrt t)) (- (log (sqrt t)) (+ y z)))))
0.4b
(cbrt (fma (log y) x (+ (log (sqrt t)) (- (log (sqrt t)) (+ y z)))))
0.4b
(cbrt (fma (log y) x (+ (log (sqrt t)) (- (log (sqrt t)) (+ y z)))))
0.6b
(* (cbrt (fma (log y) x (+ (log (sqrt t)) (- (log (sqrt t)) (+ y z))))) (cbrt (fma (log y) x (+ (log (sqrt t)) (- (log (sqrt t)) (+ y z))))))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
0.0ms
(cbrt (fma (log y) x (+ (log (sqrt t)) (- (log (sqrt t)) (+ y z)))))
0.0ms
(cbrt (fma (log y) x (+ (log (sqrt t)) (- (log (sqrt t)) (+ y z)))))
1.0ms
(cbrt (fma (log y) x (+ (log (sqrt t)) (- (log (sqrt t)) (+ y z)))))
6.0ms
(* (cbrt (fma (log y) x (+ (log (sqrt t)) (- (log (sqrt t)) (+ y z))))) (cbrt (fma (log y) x (+ (log (sqrt t)) (- (log (sqrt t)) (+ y z))))))

series1.6s

Counts
4 → 12
Calls
4 calls:
372.0ms
(cbrt (fma (log y) x (+ (log (sqrt t)) (- (log (sqrt t)) (+ y z)))))
371.0ms
(cbrt (fma (log y) x (+ (log (sqrt t)) (- (log (sqrt t)) (+ y z)))))
392.0ms
(cbrt (fma (log y) x (+ (log (sqrt t)) (- (log (sqrt t)) (+ y z)))))
477.0ms
(* (cbrt (fma (log y) x (+ (log (sqrt t)) (- (log (sqrt t)) (+ y z))))) (cbrt (fma (log y) x (+ (log (sqrt t)) (- (log (sqrt t)) (+ y z))))))

simplify51.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
03711888
113821687
250011538

prune377.0ms

Filtered
93 candidates to 75 candidates (80.6%)
Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes243.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0139
1139

end0.0ms

sample2.0s

Algorithm
intervals
Results
819.0ms24664×body80nan
330.0ms8031×body80valid
0.0ms2×body640valid