Details

Time bar (total: 3.5s)

sample22.0ms

Algorithm
intervals
Results
7.0ms281×body80valid

simplify87.0ms

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: 9.2b

localize12.0ms

Local error

Found 1 expressions with local error:

8.9b
(/ (- x (* y z)) (- t (* a z)))

rewrite20.0ms

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*
2×flip3-- associate-/r/ flip-- associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u frac-2neg div-sub div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
19.0ms
(/ (- x (* y z)) (- t (* a z)))

series50.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify78.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 3 (69.0ms)

IterNodesCost
0203303
1727281
22912280
35002278

prune111.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 8.9b

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- t (* a z)) (- x (* y z))))
8.9b
(/ (- t (* a z)) (- x (* y z)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
54×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp
6×flip3-- flip-- div-inv associate-/l*
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u associate-/l/ add-log-exp
1×pow-flip div-sub inv-pow
Counts
2 → 120
Calls
2 calls:
19.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
19.0ms
(/ (- t (* a z)) (- x (* y z)))

series235.0ms

Counts
2 → 6
Calls
2 calls:
184.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
52.0ms
(/ (- t (* a z)) (- x (* y z)))

simplify54.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04651347
121661216
250011129

prune230.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 8.9b

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ 1 (/ (- x (* y z)) (- t (* a z))))
0.2b
(/ 1 (/ 1 (/ (- x (* y z)) (- t (* a z)))))
8.9b
(/ (- x (* y z)) (- t (* a z)))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
528×times-frac
254×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
68×associate-/r*
59×add-exp-log
43×div-exp
40×associate-/r/
23×div-inv
19×add-cbrt-cube
18×flip3-- flip--
15×rec-exp 1-exp
10×cbrt-undiv
9×associate-/l*
6×pow1
5×pow-flip
3×expm1-log1p-u frac-2neg clear-num log1p-expm1-u inv-pow add-log-exp
2×associate-/l/
1×div-sub remove-double-div
Counts
3 → 365
Calls
3 calls:
19.0ms
(/ 1 (/ (- x (* y z)) (- t (* a z))))
35.0ms
(/ 1 (/ 1 (/ (- x (* y z)) (- t (* a z)))))
19.0ms
(/ (- x (* y z)) (- t (* a z)))

series264.0ms

Counts
3 → 9
Calls
3 calls:
162.0ms
(/ 1 (/ (- x (* y z)) (- t (* a z))))
50.0ms
(/ 1 (/ 1 (/ (- x (* y z)) (- t (* a z)))))
52.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify69.0ms

Algorithm
egg-herbie
Counts
374 → 374
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
011724931
150014039

prune648.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 8.9b

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (- t (* a z)))
9.1b
(* (/ 1 (- t (* a z))) (- x (* y z)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity
20×add-cube-cbrt times-frac
15×add-exp-log associate-*l*
9×add-cbrt-cube
6×prod-diff
5×pow1 distribute-rgt-in distribute-lft-in
4×flip3-- div-exp prod-exp associate-/r/ flip--
3×associate-*r* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv expm1-log1p-u frac-times sub-neg rec-exp 1-exp associate-*r/ cbrt-unprod log1p-expm1-u div-inv add-log-exp
1×pow-flip frac-2neg pow-prod-down associate-*l/ clear-num *-commutative inv-pow
Counts
2 → 88
Calls
2 calls:
13.0ms
(/ 1 (- t (* a z)))
37.0ms
(* (/ 1 (- t (* a z))) (- x (* y z)))

series224.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ 1 (- t (* a z)))
183.0ms
(* (/ 1 (- t (* a z))) (- x (* y z)))

simplify48.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0386700
11766597
25001576

prune183.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 8.9b

regimes263.0ms

Accuracy

0% (0.3b remaining)

Error of 10.6b against oracle of 10.3b and baseline of 10.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample660.0ms

Algorithm
intervals
Results
271.0ms8734×body80valid