Details

Time bar (total: 2.8s)

sample22.0ms

Algorithm
intervals
Results
9.0ms278×body80valid

simplify114.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0195
1385
2605
3885
41225
51755
66255
746865
850015

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
11.9b
(/ (- x (* y z)) (- t (* a z)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-log-exp
fma-neg prod-diff
add-exp-log add-cbrt-cube
flip3-- flip--
pow1 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l*
sub-neg diff-log associate-/r/ associate-/l/
cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv
Counts
3 → 74
Calls
3 calls:
2.0ms
(- t (* a z))
2.0ms
(- x (* y z))
8.0ms
(/ (- x (* y z)) (- t (* a z)))

series139.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(- t (* a z))
33.0ms
(- x (* y z))
68.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify133.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (125.0ms)

IterNodesCost
0296491
1972444
24276439
35001435

prune283.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 11.9b

localize10.0ms

Local error

Found 1 expressions with local error:

11.9b
(/ (fma z y (- x)) (fma z a (- t)))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
add-exp-log associate-/r* add-cbrt-cube associate-/l*
pow1 cbrt-undiv expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
3.0ms
(/ (fma z y (- x)) (fma z a (- t)))

series68.0ms

Counts
1 → 3
Calls
1 calls:
68.0ms
(/ (fma z y (- x)) (fma z a (- t)))

simplify120.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 3 (39.0ms)

IterNodesCost
094267
1259245
2954245
33727243
45003243

prune130.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 11.9b

localize12.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ 1 (fma z a (- t)))
11.6b
(* (fma z y (- x)) (/ 1 (fma z a (- t))))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×times-frac
19×*-un-lft-identity
18×add-cube-cbrt
15×add-exp-log
13×associate-*r*
add-cbrt-cube
pow1
div-exp prod-exp
associate-*l* associate-/r* associate-/l* unswap-sqr
cbrt-undiv expm1-log1p-u rec-exp 1-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp
pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 71
Calls
2 calls:
2.0ms
(/ 1 (fma z a (- t)))
8.0ms
(* (fma z y (- x)) (/ 1 (fma z a (- t))))

series100.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ 1 (fma z a (- t)))
69.0ms
(* (fma z y (- x)) (/ 1 (fma z a (- t))))

simplify84.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 3 (77.0ms)

IterNodesCost
0197509
1782439
23926409
35001408

prune226.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 11.9b

localize11.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1 (/ (fma z a (- t)) (fma z y (- x))))
11.8b
(/ (fma z a (- t)) (fma z y (- x)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
15×add-exp-log
add-cbrt-cube
div-exp
div-inv associate-/l*
cbrt-undiv
pow1
expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
pow-flip associate-/r/ inv-pow
Counts
2 → 107
Calls
2 calls:
5.0ms
(/ 1 (/ (fma z a (- t)) (fma z y (- x))))
2.0ms
(/ (fma z a (- t)) (fma z y (- x)))

series151.0ms

Counts
2 → 6
Calls
2 calls:
83.0ms
(/ 1 (/ (fma z a (- t)) (fma z y (- x))))
68.0ms
(/ (fma z a (- t)) (fma z y (- x)))

simplify53.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
03191195
113691079
250011005

prune264.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 11.9b

regimes258.0ms

Accuracy

0% (0.4b remaining)

Error of 10.7b against oracle of 10.3b and baseline of 10.7b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0156
1156

end0.0ms

sample552.0ms

Algorithm
intervals
Results
282.0ms8732×body80valid