Details

Time bar (total: 2.9s)

sample21.0ms

Algorithm
intervals
Results
9.0ms286×body80valid

simplify104.0ms

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: 11.6b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* y z))
0.0b
(- t (* a z))
11.2b
(/ (- x (* y z)) (- t (* a z)))

rewrite15.0ms

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

series129.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(- x (* y z))
33.0ms
(- t (* a z))
64.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify124.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (117.0ms)

IterNodesCost
0296491
1972444
24276439
35001435

prune264.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 11.2b

localize10.0ms

Local error

Found 1 expressions with local error:

11.2b
(/ (fma z y (- x)) (fma z a (- t)))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×add-exp-log associate-/r* add-cbrt-cube associate-/l*
1×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:
2.0ms
(/ (fma z y (- x)) (fma z a (- t)))

series67.0ms

Counts
1 → 3
Calls
1 calls:
67.0ms
(/ (fma z y (- x)) (fma z a (- t)))

simplify116.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 3 (36.0ms)

IterNodesCost
094267
1259245
2954245
33727243
45003243

prune121.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 11.2b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* y z))
0.0b
(- t (* a z))
0.3b
(/ 1 (- t (* a z)))
11.3b
(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
25×*-un-lft-identity
24×add-cube-cbrt
20×times-frac
17×add-exp-log
15×associate-*r*
11×add-cbrt-cube
8×add-log-exp
7×pow1
6×flip3-- fma-neg prod-diff flip--
4×expm1-log1p-u div-exp prod-exp associate-/r/ log1p-expm1-u
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv frac-times sub-neg rec-exp diff-log 1-exp associate-*l/ cbrt-unprod div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
4 → 119
Calls
4 calls:
3.0ms
(- x (* y z))
2.0ms
(- t (* a z))
5.0ms
(/ 1 (- t (* a z)))
18.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

series187.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(- x (* y z))
35.0ms
(- t (* a z))
55.0ms
(/ 1 (- t (* a z)))
66.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify59.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0380761
11594661
25001633

prune354.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 11.2b

localize11.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (/ (fma z a (- t)) (fma z y (- x))))
11.1b
(/ (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
9×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
1×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)))

series154.0ms

Counts
2 → 6
Calls
2 calls:
87.0ms
(/ 1 (/ (fma z a (- t)) (fma z y (- x))))
67.0ms
(/ (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

prune267.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 11.2b

regimes248.0ms

Accuracy

0% (0.4b remaining)

Error of 10.6b against oracle of 10.2b and baseline of 10.6b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0176
1176

end0.0ms

sample537.0ms

Algorithm
intervals
Results
280.0ms8755×body80valid