Details

Time bar (total: 8.3s)

sample75.0ms

Algorithm
intervals
Results
31.0ms849×body80nan
11.0ms257×body80valid

simplify38.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (11.0ms)

IterNodesCost
0216
1526
21346
32826
45415
57525
69685
711995
813275
913275

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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:
7.0ms
(- (log t) (+ y z))
1.0ms
(fma (log y) x (- (log t) (+ y z)))

series97.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(- (log t) (+ y z))
59.0ms
(fma (log y) x (- (log t) (+ y z)))

simplify99.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0242500
1768348
24200307
35001307

prune141.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

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 t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
1.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
1.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
1.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))

series1.3s

Counts
4 → 12
Calls
4 calls:
329.0ms
(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
335.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
333.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
318.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))

simplify54.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
03931346
115491220
250011117

prune387.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

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:
1.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
1.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
1.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
2.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))

series1.3s

Counts
4 → 12
Calls
4 calls:
333.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
327.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
336.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
328.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))

simplify89.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (80.0ms)

IterNodesCost
0212868
1667776
23104748
35001732

prune387.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

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:
1.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
1.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
1.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
1.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))

series1.3s

Counts
4 → 12
Calls
4 calls:
331.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
334.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
338.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
332.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))

simplify89.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
0212868
1667776
23104748
35001732

prune390.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes310.0ms

Accuracy

0% (0.0b 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
0105
1105

end0.0ms

sample2.0s

Algorithm
intervals
Results
827.0ms24075×body80nan
340.0ms8021×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid
0.0ms1×body320valid