Details

Time bar (total: 8.0s)

sample67.0ms

Algorithm
intervals
Results
26.0ms780×body80nan
11.0ms259×body80valid

simplify33.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (10.0ms)

IterNodesCost
0216
1526
21346
32826
45415
57525
69685
711995
813275
913275

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

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)))

series88.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(- (log t) (+ y z))
49.0ms
(fma (log y) x (- (log t) (+ y z)))

simplify108.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0242500
1768348
24200307
35001307

prune124.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

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))))

rewrite13.0ms

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:
8.0ms
(* (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))))

series1.2s

Counts
4 → 12
Calls
4 calls:
318.0ms
(* (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))))
307.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
307.0ms
(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

prune346.0ms

Pruning

7 alts after pruning (5 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))))
0.5b
(cbrt (fma (log y) x (- (log t) (+ y z))))
0.5b
(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))

rewrite8.0ms

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:
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))))
4.0ms
(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:
322.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
317.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
319.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
323.0ms
(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 (32.0ms)

IterNodesCost
0355925
11186825
25001796

prune332.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize20.0ms

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))))
0.9b
(pow (cbrt (cbrt (fma (log y) x (- (log t) (+ y z))))) 4)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
5×pow1 add-exp-log
4×expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-unpow
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 65
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))))
7.0ms
(pow (cbrt (cbrt (fma (log y) x (- (log t) (+ y z))))) 4)

series1.5s

Counts
4 → 12
Calls
4 calls:
320.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
314.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
319.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
531.0ms
(pow (cbrt (cbrt (fma (log y) x (- (log t) (+ y z))))) 4)

simplify56.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04371047
11585957
25002921

prune357.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes208.0ms

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

sample2.0s

Algorithm
intervals
Results
847.0ms24095×body80nan
352.0ms8039×body80valid