Details

Time bar (total: 8.4s)

sample76.0ms

Algorithm
intervals
Results
32.0ms770×body80nan
13.0ms257×body80valid

simplify32.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (9.0ms)

IterNodesCost
0216
1526
21346
32826
45415
57525
69685
711995
813275
913275

prune9.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1

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)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
16×prod-diff
14×add-sqr-sqrt
12×add-cube-cbrt
pow1
log-pow
distribute-lft-out
add-log-exp
fma-neg distribute-lft-out--
log-prod associate--l+
add-exp-log expm1-log1p-u diff-log add-cbrt-cube log1p-expm1-u
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)))

series90.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(- (log t) (+ y z))
49.0ms
(fma (log y) x (- (log t) (+ y z)))

simplify101.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0242500
1768348
24200307
35001307

prune119.0ms

Filtered
60 candidates to 36 candidates (60.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New56460
Fresh000
Picked011
Done000
Total56561

Merged error: 0.0b

Counts
61 → 5

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
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
5.0ms
(* (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))))

series1.4s

Counts
4 → 12
Calls
4 calls:
482.0ms
(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
315.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
328.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
320.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))

simplify68.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
03931346
115491220
250011117

prune319.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New89493
Fresh033
Picked011
Done011
Total89998

Merged error: 0.0b

Counts
98 → 9

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)))))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 55
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 (cbrt (fma (log y) x (- (log t) (+ y z)))))

series1.3s

Counts
4 → 12
Calls
4 calls:
370.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
320.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
316.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
323.0ms
(cbrt (cbrt (fma (log y) x (- (log t) (+ y z)))))

simplify45.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0368935
11217844
25002817

prune352.0ms

Filtered
67 candidates to 63 candidates (94.0%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New65267
Fresh156
Picked011
Done022
Total661076

Merged error: 0.0b

Counts
76 → 10

localize27.0ms

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 (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)))))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 56
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))))
2.0ms
(cbrt (cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))))
2.0ms
(cbrt (cbrt (fma (log y) x (- (log t) (+ y z)))))

series1.3s

Counts
4 → 12
Calls
4 calls:
325.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
321.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
331.0ms
(cbrt (cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))))
317.0ms
(cbrt (cbrt (fma (log y) x (- (log t) (+ y z)))))

simplify59.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
05171101
11745994
25001967

prune388.0ms

Filtered
68 candidates to 64 candidates (94.1%)
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New67168
Fresh066
Picked011
Done033
Total671178

Merged error: 0.0b

Counts
78 → 11

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

sample2.3s

Algorithm
intervals
Results
1.1s23639×body80nan
427.0ms8018×body80valid

Profiling

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