Details

Time bar (total: 8.1s)

sample73.0ms

Algorithm
intervals
Results
30.0ms784×body80nan
11.0ms256×body80valid

simplify35.0ms

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)))

series94.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(- (log t) (+ y z))
55.0ms
(fma (log y) x (- (log t) (+ y z)))

simplify107.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0242500
1768348
24200307
35001307

prune130.0ms

Pruning

3 alts after pruning (2 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))))

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 t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
0.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
0.0ms
(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:
323.0ms
(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
330.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
319.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
320.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))

simplify55.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
03931346
115491220
250011117

prune364.0ms

Pruning

8 alts after pruning (6 fresh and 2 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))))
0.6b
(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))
0.6b
(cbrt (cbrt (fma (log y) x (- (log t) (+ y z)))))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
16×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 → 53
Calls
4 calls:
0.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
0.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
3.0ms
(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))
1.0ms
(cbrt (cbrt (fma (log y) x (- (log t) (+ y z)))))

series1.3s

Counts
4 → 12
Calls
4 calls:
335.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
324.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
325.0ms
(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))
338.0ms
(cbrt (cbrt (fma (log y) x (- (log t) (+ y z)))))

simplify54.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0509992
11747893
25001865

prune363.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (cbrt (fma (log y) x (- (log t) (+ y z))))) (cbrt (cbrt (fma (log y) x (- (log t) (+ y z))))))
0.6b
(cbrt (cbrt (fma (log y) x (- (log t) (+ y z)))))
0.6b
(cbrt (cbrt (fma (log y) x (- (log t) (+ y z)))))
0.6b
(cbrt (cbrt (fma (log y) x (- (log t) (+ y z)))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
81×cbrt-prod
40×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3 swap-sqr associate-*r* associate-*l* unswap-sqr
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 104
Calls
4 calls:
9.0ms
(* (cbrt (cbrt (fma (log y) x (- (log t) (+ y z))))) (cbrt (cbrt (fma (log y) x (- (log t) (+ y z))))))
1.0ms
(cbrt (cbrt (fma (log y) x (- (log t) (+ y z)))))
1.0ms
(cbrt (cbrt (fma (log y) x (- (log t) (+ y z)))))
1.0ms
(cbrt (cbrt (fma (log y) x (- (log t) (+ y z)))))

series1.3s

Counts
4 → 12
Calls
4 calls:
341.0ms
(* (cbrt (cbrt (fma (log y) x (- (log t) (+ y z))))) (cbrt (cbrt (fma (log y) x (- (log t) (+ y z))))))
330.0ms
(cbrt (cbrt (fma (log y) x (- (log t) (+ y z)))))
341.0ms
(cbrt (cbrt (fma (log y) x (- (log t) (+ y z)))))
331.0ms
(cbrt (cbrt (fma (log y) x (- (log t) (+ y z)))))

simplify60.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04272009
115351879
250011731

prune475.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes252.0ms

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
0105
1105

end0.0ms

sample2.0s

Algorithm
intervals
Results
825.0ms23895×body80nan
340.0ms8031×body80valid
1.0ms2×body1280valid