Details

Time bar (total: 5.6s)

sample58.0ms

Algorithm
intervals
Results
13.0ms301×body80valid
11.0ms297×body80nan

simplify70.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0308
1897
22917
38987
425657
550017

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.1b
(- (+ (+ x y) z) (* z (log t)))
0.3b
(* z (log t))

rewrite199.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
12×add-sqr-sqrt log-prod
11×add-log-exp
10×add-cube-cbrt
6×distribute-rgt-in distribute-lft-in distribute-lft-out associate--r+
5×pow1 fma-neg prod-diff
4×add-exp-log associate-*r* add-cbrt-cube
3×diff-log associate-*l* sum-log
2×expm1-log1p-u log1p-expm1-u
1×sub-neg flip3-- pow-prod-down prod-exp associate--l+ log-pow *-commutative flip-- cbrt-unprod unswap-sqr
Counts
2 → 60
Calls
2 calls:
187.0ms
(- (+ (+ x y) z) (* z (log t)))
9.0ms
(* z (log t))

series80.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(- (+ (+ x y) z) (* z (log t)))
40.0ms
(* z (log t))

simplify52.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0268391
11227340
25002323

prune213.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
14×add-sqr-sqrt
12×prod-diff
11×add-cube-cbrt
6×pow1
4×log-pow
3×log-prod fma-neg associate--r+ add-log-exp
2×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u distribute-lft-out-- difference-of-squares
1×sub-neg flip3-- diff-log flip-- fma-udef
Counts
2 → 46
Calls
2 calls:
9.0ms
(- 1 (log t))
0.0ms
(fma z (- 1 (log t)) (+ x y))

series189.0ms

Counts
2 → 6
Calls
2 calls:
136.0ms
(- 1 (log t))
52.0ms
(fma z (- 1 (log t)) (+ x y))

simplify130.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 3 (124.0ms)

IterNodesCost
0209361
1731229
23621181
35001180

prune186.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt t) (cbrt t))
0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)

rewrite17.0ms

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:
11.0ms
(* (cbrt t) (cbrt t))
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series811.0ms

Counts
4 → 12
Calls
4 calls:
223.0ms
(* (cbrt t) (cbrt t))
192.0ms
(cbrt t)
195.0ms
(cbrt t)
201.0ms
(cbrt t)

simplify103.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (97.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune452.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (sqrt t))
0.1b
(fma z (- 1 (log (sqrt t))) (+ x y))
0.2b
(- (fma z (- 1 (log (sqrt t))) (+ x y)) (* (log (sqrt t)) z))
0.3b
(* (log (sqrt t)) z)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
10×pow1 add-cube-cbrt *-un-lft-identity
7×add-exp-log
6×log-prod associate-*l* log-pow add-cbrt-cube add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×fma-neg associate-*r* prod-diff sqrt-prod
2×sqrt-pow1 pow1/2 fma-udef
1×sub-neg flip3-- diff-log rem-log-exp pow-prod-down prod-exp associate--l+ *-commutative flip-- cbrt-unprod unswap-sqr
Counts
4 → 73
Calls
4 calls:
7.0ms
(log (sqrt t))
0.0ms
(fma z (- 1 (log (sqrt t))) (+ x y))
6.0ms
(- (fma z (- 1 (log (sqrt t))) (+ x y)) (* (log (sqrt t)) z))
10.0ms
(* (log (sqrt t)) z)

series456.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(log (sqrt t))
116.0ms
(fma z (- 1 (log (sqrt t))) (+ x y))
147.0ms
(- (fma z (- 1 (log (sqrt t))) (+ x y)) (* (log (sqrt t)) z))
127.0ms
(* (log (sqrt t)) z)

simplify149.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0324620
11040564
24979554
35001554

prune369.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes373.0ms

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
02411
12411

end0.0ms

sample1.6s

Algorithm
intervals
Results
417.0ms9131×body80valid
339.0ms9010×body80nan
0.0ms1×body1280valid
0.0ms1×body640valid
0.0ms1×body320valid