Details

Time bar (total: 3.8s)

sample22.0ms

Algorithm
intervals
Results
7.0ms279×body80valid

simplify95.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0195
1385
2605
3885
41225
51755
66255
746865
850015

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.3b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- t (* a z))
10.9b
(/ (- x (* y z)) (- t (* a z)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×flip3-- fma-neg prod-diff associate-/r* flip-- associate-/l*
2×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 54
Calls
2 calls:
6.0ms
(- t (* a z))
21.0ms
(/ (- x (* y z)) (- t (* a z)))

series86.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(- t (* a z))
53.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify93.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 3 (87.0ms)

IterNodesCost
0246397
1829362
23584358
35001351

prune169.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 11.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.4b
(/ 1 (- t (* a z)))
10.9b
(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite56.0ms

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
6×pow1
5×flip3-- flip-- add-log-exp
4×div-exp prod-exp associate-/r/
3×expm1-log1p-u fma-neg associate-*l* prod-diff associate-/r* log1p-expm1-u associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
1×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:
6.0ms
(- t (* a z))
10.0ms
(/ 1 (- t (* a z)))
37.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

series130.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(- t (* a z))
47.0ms
(/ 1 (- t (* a z)))
54.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify50.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0350667
11547579
25002552

prune244.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 11.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.3b
(/ 1 (/ (- t (* a z)) (- x (* y z))))
10.9b
(/ (- t (* a z)) (- x (* y z)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
57×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
8×div-exp
7×flip3-- flip--
6×div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
3×expm1-log1p-u fma-neg prod-diff log1p-expm1-u
2×rec-exp frac-2neg 1-exp clear-num associate-/l/
1×sub-neg pow-flip diff-log div-sub inv-pow
Counts
3 → 140
Calls
3 calls:
6.0ms
(- t (* a z))
18.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
18.0ms
(/ (- t (* a z)) (- x (* y z)))

series276.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(- t (* a z))
193.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
55.0ms
(/ (- t (* a z)) (- x (* y z)))

simplify70.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05141441
123121298
250031210

prune310.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 11.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.3b
(/ 1 (- x (* y z)))
0.4b
(/ 1 (- t (* a z)))
10.8b
(/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z))))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
531×times-frac
246×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
69×associate-/r/
52×add-exp-log
36×div-exp
35×flip3-- flip-- div-inv
21×associate-/r* associate-/l*
20×add-cbrt-cube
10×cbrt-undiv rec-exp 1-exp
6×pow1 add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×frac-2neg fma-neg prod-diff clear-num
2×pow-flip inv-pow
1×sub-neg diff-log associate-/l/
Counts
4 → 379
Calls
4 calls:
6.0ms
(- t (* a z))
10.0ms
(/ 1 (- x (* y z)))
10.0ms
(/ 1 (- t (* a z)))
35.0ms
(/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z))))

series318.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(- t (* a z))
43.0ms
(/ 1 (- x (* y z)))
49.0ms
(/ 1 (- t (* a z)))
195.0ms
(/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z))))

simplify83.0ms

Algorithm
egg-herbie
Counts
391 → 391
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
015915349
150014842

prune753.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 11.0b

regimes241.0ms

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

sample584.0ms

Algorithm
intervals
Results
245.0ms8730×body80valid