Details

Time bar (total: 5.0s)

sample28.0ms

Algorithm
intervals
Results
16.0ms288×body80valid
0.0ms1×body1280valid

simplify31.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (8.0ms)

IterNodesCost
0256
1506
2806
31226
41715
52305
62675
73705
85225
98205
108205

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma (/ x 8.0) 1.0 (fma (- (/ y 2.0)) z t))

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 (/ x 8.0) 1.0 (fma (- (/ y 2.0)) z t))

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(fma (/ x 8.0) 1.0 (fma (- (/ y 2.0)) z t))

simplify40.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
05389
111275
231275
3143275
4500175

prune40.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (/ x 8.0) 1.0 (fma (- (/ y 2.0)) z t))) (cbrt (fma (/ x 8.0) 1.0 (fma (- (/ y 2.0)) z t))))
0.5b
(cbrt (fma (/ x 8.0) 1.0 (fma (- (/ y 2.0)) z t)))
0.5b
(cbrt (fma (/ x 8.0) 1.0 (fma (- (/ y 2.0)) z t)))
0.5b
(cbrt (fma (/ x 8.0) 1.0 (fma (- (/ y 2.0)) z t)))

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 (/ x 8.0) 1.0 (fma (- (/ y 2.0)) z t))) (cbrt (fma (/ x 8.0) 1.0 (fma (- (/ y 2.0)) z t))))
0.0ms
(cbrt (fma (/ x 8.0) 1.0 (fma (- (/ y 2.0)) z t)))
0.0ms
(cbrt (fma (/ x 8.0) 1.0 (fma (- (/ y 2.0)) z t)))
1.0ms
(cbrt (fma (/ x 8.0) 1.0 (fma (- (/ y 2.0)) z t)))

series1.1s

Counts
4 → 12
Calls
4 calls:
284.0ms
(* (cbrt (fma (/ x 8.0) 1.0 (fma (- (/ y 2.0)) z t))) (cbrt (fma (/ x 8.0) 1.0 (fma (- (/ y 2.0)) z t))))
297.0ms
(cbrt (fma (/ x 8.0) 1.0 (fma (- (/ y 2.0)) z t)))
278.0ms
(cbrt (fma (/ x 8.0) 1.0 (fma (- (/ y 2.0)) z t)))
271.0ms
(cbrt (fma (/ x 8.0) 1.0 (fma (- (/ y 2.0)) z t)))

simplify134.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (123.0ms)

IterNodesCost
02311107
18461014
24188926
35001922

prune317.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (/ x 8.0) 1.0 (fma (- (/ y 2.0)) z t)))
0.6b
(cbrt (* (cbrt (fma (/ x 8.0) 1.0 (fma (- (/ y 2.0)) z t))) (cbrt (fma (/ x 8.0) 1.0 (fma (- (/ y 2.0)) z t)))))
0.6b
(cbrt (* (cbrt (fma (/ x 8.0) 1.0 (fma (- (/ y 2.0)) z t))) (cbrt (fma (/ x 8.0) 1.0 (fma (- (/ y 2.0)) z t)))))
0.6b
(cbrt (* (cbrt (fma (/ x 8.0) 1.0 (fma (- (/ y 2.0)) z t))) (cbrt (fma (/ x 8.0) 1.0 (fma (- (/ y 2.0)) z t)))))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
6×cbrt-prod
5×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 → 46
Calls
4 calls:
0.0ms
(cbrt (fma (/ x 8.0) 1.0 (fma (- (/ y 2.0)) z t)))
3.0ms
(cbrt (* (cbrt (fma (/ x 8.0) 1.0 (fma (- (/ y 2.0)) z t))) (cbrt (fma (/ x 8.0) 1.0 (fma (- (/ y 2.0)) z t)))))
3.0ms
(cbrt (* (cbrt (fma (/ x 8.0) 1.0 (fma (- (/ y 2.0)) z t))) (cbrt (fma (/ x 8.0) 1.0 (fma (- (/ y 2.0)) z t)))))
3.0ms
(cbrt (* (cbrt (fma (/ x 8.0) 1.0 (fma (- (/ y 2.0)) z t))) (cbrt (fma (/ x 8.0) 1.0 (fma (- (/ y 2.0)) z t)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
285.0ms
(cbrt (fma (/ x 8.0) 1.0 (fma (- (/ y 2.0)) z t)))
291.0ms
(cbrt (* (cbrt (fma (/ x 8.0) 1.0 (fma (- (/ y 2.0)) z t))) (cbrt (fma (/ x 8.0) 1.0 (fma (- (/ y 2.0)) z t)))))
289.0ms
(cbrt (* (cbrt (fma (/ x 8.0) 1.0 (fma (- (/ y 2.0)) z t))) (cbrt (fma (/ x 8.0) 1.0 (fma (- (/ y 2.0)) z t)))))
282.0ms
(cbrt (* (cbrt (fma (/ x 8.0) 1.0 (fma (- (/ y 2.0)) z t))) (cbrt (fma (/ x 8.0) 1.0 (fma (- (/ y 2.0)) z t)))))

simplify55.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (46.0ms)

IterNodesCost
0196819
1514716
21880706
35002685

prune258.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(log1p (fma (/ x 8.0) 1.0 (fma (- (/ y 2.0)) z t)))
0.0b
(fma (/ x 8.0) 1.0 (fma (- (/ y 2.0)) z t))
2.6b
(expm1 (log1p (fma (/ x 8.0) 1.0 (fma (- (/ y 2.0)) z t))))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
4×expm1-log1p-u
3×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube log1p-expm1-u add-log-exp
1×log1p-udef expm1-log1p log1p-expm1 fma-udef expm1-udef
Counts
3 → 32
Calls
3 calls:
0.0ms
(log1p (fma (/ x 8.0) 1.0 (fma (- (/ y 2.0)) z t)))
0.0ms
(fma (/ x 8.0) 1.0 (fma (- (/ y 2.0)) z t))
0.0ms
(expm1 (log1p (fma (/ x 8.0) 1.0 (fma (- (/ y 2.0)) z t))))

series644.0ms

Counts
3 → 9
Calls
3 calls:
136.0ms
(log1p (fma (/ x 8.0) 1.0 (fma (- (/ y 2.0)) z t)))
60.0ms
(fma (/ x 8.0) 1.0 (fma (- (/ y 2.0)) z t))
448.0ms
(expm1 (log1p (fma (/ x 8.0) 1.0 (fma (- (/ y 2.0)) z t))))

simplify54.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 3 (44.0ms)

IterNodesCost
0180317
1435272
21496262
35002257

prune128.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes84.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0145
1145

end0.0ms

sample764.0ms

Algorithm
intervals
Results
534.0ms9074×body80valid
0.0ms2×body1280valid