Details

Time bar (total: 8.5s)

sample97.0ms

Algorithm
intervals
Results
48.0ms773×body80nan
18.0ms256×body80valid

simplify36.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (10.0ms)

IterNodesCost
0216
1526
21346
32826
45415
57525
69685
711995
813275
913275

prune6.0ms

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)))

series89.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(- (log t) (+ y z))
54.0ms
(fma (log y) x (- (log t) (+ y z)))

simplify101.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0242500
1768348
24200307
35001307

prune138.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

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))))

rewrite60.0ms

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))
36.0ms
(+ (log (sqrt t)) (- (log (sqrt t)) (+ y z)))
0.0ms
(fma (log y) x (+ (log (sqrt t)) (- (log (sqrt t)) (+ y z))))

series314.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(log (sqrt t))
83.0ms
(- (log (sqrt t)) (+ y z))
107.0ms
(+ (log (sqrt t)) (- (log (sqrt t)) (+ y z)))
66.0ms
(fma (log y) x (+ (log (sqrt t)) (- (log (sqrt t)) (+ y z))))

simplify48.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
04561431
113521080
25001947

prune381.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (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))))))
0.5b
(cbrt (fma (log y) x (+ (log (sqrt t)) (- (log (sqrt t)) (+ y z)))))
0.5b
(cbrt (fma (log y) x (+ (log (sqrt t)) (- (log (sqrt t)) (+ y z)))))
0.5b
(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:
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))))))
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)))))
1.0ms
(cbrt (fma (log y) x (+ (log (sqrt t)) (- (log (sqrt t)) (+ y z)))))

series1.6s

Counts
4 → 12
Calls
4 calls:
483.0ms
(* (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))))))
374.0ms
(cbrt (fma (log y) x (+ (log (sqrt t)) (- (log (sqrt t)) (+ y z)))))
381.0ms
(cbrt (fma (log y) x (+ (log (sqrt t)) (- (log (sqrt t)) (+ y z)))))
379.0ms
(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
113751687
250021538

prune371.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (log y) x (+ (log (sqrt t)) (- (log (sqrt t)) (+ y z)))))
0.5b
(cbrt (fma (log y) x (+ (log (sqrt t)) (- (log (sqrt t)) (+ y z)))))
0.5b
(cbrt (fma (log y) x (+ (log (sqrt t)) (- (log (sqrt t)) (+ y z)))))
0.5b
(cbrt (fma (log y) x (+ (log (sqrt t)) (- (log (sqrt t)) (+ y z)))))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
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)))))
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)))))

series1.6s

Counts
4 → 12
Calls
4 calls:
391.0ms
(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)))))
385.0ms
(cbrt (fma (log y) x (+ (log (sqrt t)) (- (log (sqrt t)) (+ y z)))))
420.0ms
(cbrt (fma (log y) x (+ (log (sqrt t)) (- (log (sqrt t)) (+ y z)))))

simplify64.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (54.0ms)

IterNodesCost
01811096
1515972
22068948
35002944

prune385.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 0.0b

regimes296.0ms

Accuracy

0% (0.0b 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
0105
1105

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.4s23570×body80nan
586.0ms8033×body80valid
1.0ms3×body1280valid