Details

Time bar (total: 3.3s)

sample20.0ms

Algorithm
intervals
Results
8.0ms276×body80valid

simplify97.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0195
1385
2605
3885
41225
51755
66255
746865
850015

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (* y z))
12.0b
(/ (- x (* y z)) (- t (* a z)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log add-cbrt-cube add-log-exp
flip3-- fma-neg prod-diff associate-/r* flip-- associate-/l*
pow1 expm1-log1p-u associate-/r/ log1p-expm1-u associate-/l/
cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 54
Calls
2 calls:
2.0ms
(- x (* y z))
8.0ms
(/ (- x (* y z)) (- t (* a z)))

series91.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(- x (* y z))
58.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify109.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 3 (102.0ms)

IterNodesCost
0254397
1873363
23609361
35001354

prune174.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 12.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* y z))
0.3b
(/ 1 (- t (* a z)))
12.0b
(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
22×*-un-lft-identity
21×add-cube-cbrt
20×times-frac
16×add-exp-log
15×associate-*r*
10×add-cbrt-cube
pow1
flip3-- flip-- add-log-exp
div-exp prod-exp associate-/r/
expm1-log1p-u fma-neg associate-*l* prod-diff associate-/r* log1p-expm1-u associate-/l* unswap-sqr
cbrt-undiv frac-times rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
sub-neg pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
3 → 99
Calls
3 calls:
2.0ms
(- x (* y z))
4.0ms
(/ 1 (- t (* a z)))
17.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

series137.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(- x (* y z))
50.0ms
(/ 1 (- t (* a z)))
58.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify47.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0338667
11489581
25001554

prune266.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 12.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
12.0b
(/ (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* y z))) (- t (* a z)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
cbrt-prod times-frac
add-exp-log add-cbrt-cube
pow1 expm1-log1p-u log1p-expm1-u add-log-exp
pow1/3 associate-/r* associate-/l*
associate-/r/
cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- div-inv
Counts
4 → 70
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
5.0ms
(/ (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* y z))) (- t (* a z)))

series741.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(cbrt x)
185.0ms
(cbrt x)
187.0ms
(cbrt x)
170.0ms
(/ (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* y z))) (- t (* a z)))

simplify67.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
0182631
1512576
21957551
35001532

prune314.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 12.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma -1 x (* y z))
12.0b
(/ (fma -1 x (* y z)) (fma z a (- t)))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log add-cbrt-cube
associate-/r* associate-/l*
pow1 expm1-log1p-u log1p-expm1-u add-log-exp
cbrt-undiv frac-2neg div-exp clear-num fma-udef div-inv
Counts
2 → 39
Calls
2 calls:
0.0ms
(fma -1 x (* y z))
2.0ms
(/ (fma -1 x (* y z)) (fma z a (- t)))

series92.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(fma -1 x (* y z))
61.0ms
(/ (fma -1 x (* y z)) (fma z a (- t)))

simplify138.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 3 (35.0ms)

IterNodesCost
0104309
1274282
21123281
34518280
45001280

prune140.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 12.1b

regimes243.0ms

Accuracy

0% (0.3b remaining)

Error of 10.8b against oracle of 10.5b and baseline of 10.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample516.0ms

Algorithm
intervals
Results
270.0ms8669×body80valid