Details

Time bar (total: 9.1s)

sample108.0ms

Algorithm
intervals
Results
55.0ms753×body80nan
24.0ms257×body80valid

simplify34.0ms

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 1 expressions with local error:

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

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (log y) x (- (log t) (+ y z)))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(fma (log y) x (- (log t) (+ y z)))

simplify66.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 4 (64.0ms)

IterNodesCost
07393
117180
248278
3266077
4500274

prune38.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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:
328.0ms
(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
327.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
332.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
325.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))

simplify61.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
03931346
115491220
250011117

prune356.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
7×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 → 50
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))))
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))))))

series1.3s

Counts
4 → 12
Calls
4 calls:
328.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
332.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
320.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
330.0ms
(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))

simplify40.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0355925
11186825
25001796

prune342.0ms

Pruning

5 alts after pruning (4 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))))
0.6b
(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (* (cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (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)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
8×cbrt-prod
6×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 → 48
Calls
4 calls:
0.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
1.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
10.0ms
(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (* (cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))) (cbrt (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))))))

series1.5s

Counts
4 → 12
Calls
4 calls:
315.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
504.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
333.0ms
(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (* (cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))) (cbrt (cbrt (fma (log y) x (- (log t) (+ y z))))))))
329.0ms
(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))

simplify45.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
03731190
112121050
250011020

prune347.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes162.0ms

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

sample3.3s

Algorithm
intervals
Results
1.7s23833×body80nan
753.0ms8023×body80valid
1.0ms2×body1280valid
0.0ms1×body640valid
0.0ms1×body160valid