Details

Time bar (total: 4.7s)

sample30.0ms

Algorithm
intervals
Results
18.0ms280×body80valid

simplify109.0ms

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: 11.8b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- t (* a z))
11.5b
(/ (- x (* y z)) (- t (* a z)))

rewrite12.0ms

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:
2.0ms
(- t (* a z))
8.0ms
(/ (- x (* y z)) (- t (* a z)))

series95.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(- t (* a z))
63.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify105.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 3 (99.0ms)

IterNodesCost
0246397
1829362
23584358
35001351

prune206.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 11.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.5b
(/ 1 (/ (- t (* a z)) (- x (* y z))))
11.4b
(/ (- t (* a z)) (- x (* y z)))

rewrite26.0ms

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:
2.0ms
(- t (* a z))
9.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
9.0ms
(/ (- t (* a z)) (- x (* y z)))

series322.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(- t (* a z))
224.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
64.0ms
(/ (- t (* a z)) (- x (* y z)))

simplify78.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
05141441
123121298
250031210

prune337.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 11.4b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.3b
(/ 1 (- x (* y z)))
0.7b
(/ 1 (- t (* a z)))
10.6b
(/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z))))

rewrite58.0ms

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:
2.0ms
(- t (* a z))
4.0ms
(/ 1 (- x (* y z)))
4.0ms
(/ 1 (- t (* a z)))
19.0ms
(/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z))))

series361.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(- t (* a z))
48.0ms
(/ 1 (- x (* y z)))
56.0ms
(/ 1 (- t (* a z)))
224.0ms
(/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z))))

simplify97.0ms

Algorithm
egg-herbie
Counts
391 → 391
Iterations

Useful iterations: 1 (45.0ms)

IterNodesCost
015915349
150014842

prune869.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 11.4b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.7b
(/ 1 (- t (* a z)))
10.9b
(* (/ 1 (- t (* a z))) (- x (* y z)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
24×*-un-lft-identity
23×add-cube-cbrt
20×times-frac
16×add-exp-log
15×associate-*l*
10×add-cbrt-cube
9×prod-diff
6×pow1
5×distribute-rgt-in flip3-- distribute-lft-in flip-- add-log-exp
4×div-exp prod-exp associate-/r/
3×expm1-log1p-u sub-neg fma-neg associate-*r* associate-/r* log1p-expm1-u associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*r/ cbrt-unprod div-inv
1×pow-flip frac-2neg diff-log pow-prod-down associate-*l/ clear-num *-commutative inv-pow
Counts
3 → 108
Calls
3 calls:
2.0ms
(- t (* a z))
5.0ms
(/ 1 (- t (* a z)))
19.0ms
(* (/ 1 (- t (* a z))) (- x (* y z)))

series322.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(- t (* a z))
56.0ms
(/ 1 (- t (* a z)))
232.0ms
(* (/ 1 (- t (* a z))) (- x (* y z)))

simplify63.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0414794
11825679
25001657

prune299.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 11.4b

regimes350.0ms

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
0196
1216
2216

end0.0ms

sample835.0ms

Algorithm
intervals
Results
572.0ms8694×body80valid