Details

Time bar (total: 5.6s)

sample49.0ms

Algorithm
intervals
Results
13.0ms288×body80valid
10.0ms266×body80nan

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0308
1897
22917
38987
425657
550017

prune7.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma b (- a 0.5) (- (+ (+ x y) z) (* z (log t))))
0.1b
(- (+ (+ x y) z) (* z (log t)))
0.3b
(* z (log t))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
13×add-sqr-sqrt
12×log-prod add-log-exp
11×add-cube-cbrt
6×pow1 distribute-rgt-in distribute-lft-in distribute-lft-out associate--r+
5×add-exp-log fma-neg prod-diff add-cbrt-cube
4×associate-*r*
3×expm1-log1p-u diff-log associate-*l* sum-log log1p-expm1-u
1×sub-neg flip3-- pow-prod-down prod-exp associate--l+ log-pow *-commutative flip-- cbrt-unprod fma-udef unswap-sqr
Counts
3 → 70
Calls
3 calls:
0.0ms
(fma b (- a 0.5) (- (+ (+ x y) z) (* z (log t))))
105.0ms
(- (+ (+ x y) z) (* z (log t)))
4.0ms
(* z (log t))

series186.0ms

Counts
3 → 9
Calls
3 calls:
112.0ms
(fma b (- a 0.5) (- (+ (+ x y) z) (* z (log t))))
38.0ms
(- (+ (+ x y) z) (* z (log t)))
36.0ms
(* z (log t))

simplify44.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0316506
11388439
25001421

prune254.0ms

Filtered
79 candidates to 57 candidates (72.2%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma b (- a 0.5) (+ (fma z (- 1 (log t)) (+ x y)) (* (log t) (+ (- z) z))))
0.0b
(- 1 (log t))
0.1b
(fma z (- 1 (log t)) (+ x y))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
15×add-sqr-sqrt
12×add-cube-cbrt prod-diff
7×pow1
4×log-pow add-log-exp
3×add-exp-log expm1-log1p-u log-prod fma-neg add-cbrt-cube log1p-expm1-u associate--r+
2×fma-udef distribute-lft-out-- difference-of-squares
1×sub-neg flip3-- diff-log flip--
Counts
3 → 56
Calls
3 calls:
0.0ms
(fma b (- a 0.5) (+ (fma z (- 1 (log t)) (+ x y)) (* (log t) (+ (- z) z))))
4.0ms
(- 1 (log t))
0.0ms
(fma z (- 1 (log t)) (+ x y))

series319.0ms

Counts
3 → 9
Calls
3 calls:
141.0ms
(fma b (- a 0.5) (+ (fma z (- 1 (log t)) (+ x y)) (* (log t) (+ (- z) z))))
131.0ms
(- 1 (log t))
47.0ms
(fma z (- 1 (log t)) (+ x y))

simplify157.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0261516
1873360
24678307
35001307

prune222.0ms

Filtered
65 candidates to 43 candidates (66.2%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma z (- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t))) (+ x y))
0.3b
(- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t)))
0.6b
(cbrt t)
0.6b
(cbrt t)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
20×add-sqr-sqrt
18×add-cube-cbrt prod-diff
9×cbrt-prod
8×pow1
7×log-pow add-log-exp
6×log-prod associate--r+
5×pow1/3 associate--l+
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
3×fma-neg diff-log
2×sub-neg distribute-lft-out--
1×associate--l- flip3-- flip-- fma-udef difference-of-squares
Counts
4 → 84
Calls
4 calls:
0.0ms
(fma z (- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t))) (+ x y))
17.0ms
(- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t)))
0.0ms
(cbrt t)
1.0ms
(cbrt t)

series780.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(fma z (- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t))) (+ x y))
312.0ms
(- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t)))
173.0ms
(cbrt t)
180.0ms
(cbrt t)

simplify51.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0317914
11146667
25001551

prune461.0ms

Filtered
96 candidates to 72 candidates (75.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma b (- a 0.5) (+ (+ x y) (- z (* z (log t)))))
0.0b
(+ (+ x y) (- z (* z (log t))))
0.2b
(- z (* z (log t)))
0.3b
(* z (log t))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
18×add-log-exp
16×add-sqr-sqrt
14×add-cube-cbrt
12×log-prod
7×pow1
6×add-exp-log distribute-rgt-in distribute-lft-in prod-diff sum-log add-cbrt-cube associate--r+
5×associate-+r+
4×expm1-log1p-u fma-def associate-*r* frac-add log1p-expm1-u distribute-lft-out
3×flip3-- flip3-+ fma-neg diff-log associate-*l* flip-- flip-+
2×sub-neg
1×+-commutative associate-+r- associate-+l+ pow-prod-down prod-exp log-pow *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
4 → 96
Calls
4 calls:
0.0ms
(fma b (- a 0.5) (+ (+ x y) (- z (* z (log t)))))
19.0ms
(+ (+ x y) (- z (* z (log t))))
3.0ms
(- z (* z (log t)))
4.0ms
(* z (log t))

series253.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(fma b (- a 0.5) (+ (+ x y) (- z (* z (log t)))))
52.0ms
(+ (+ x y) (- z (* z (log t))))
43.0ms
(- z (* z (log t)))
40.0ms
(* z (log t))

simplify64.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0513694
12121619
25002595

prune349.0ms

Filtered
108 candidates to 80 candidates (74.1%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes426.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03016
13016

end0.0ms

sample1.7s

Algorithm
intervals
Results
571.0ms9262×body80nan
435.0ms9177×body80valid
1.0ms2×body1280valid
0.0ms1×body640valid
0.0ms1×body320valid