Details

Time bar (total: 3.5s)

sample21.0ms

Algorithm
intervals
Results
8.0ms281×body80valid

simplify86.0ms

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

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite21.0ms

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:
20.0ms
(/ (- x (* y z)) (- t (* a z)))

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify72.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
0203303
1727281
22912280
35002278

prune110.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 8.9b

localize9.0ms

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:
18.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
19.0ms
(/ (- t (* a z)) (- x (* y z)))

series263.0ms

Counts
2 → 6
Calls
2 calls:
201.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
62.0ms
(/ (- t (* a z)) (- x (* y z)))

simplify51.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04651347
121661216
250011129

prune221.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 8.9b

localize12.0ms

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)))

rewrite89.0ms

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:
21.0ms
(/ 1 (/ (- x (* y z)) (- t (* a z))))
30.0ms
(/ 1 (/ 1 (/ (- x (* y z)) (- t (* a z)))))
17.0ms
(/ (- x (* y z)) (- t (* a z)))

series317.0ms

Counts
3 → 9
Calls
3 calls:
193.0ms
(/ 1 (/ (- x (* y z)) (- t (* a z))))
59.0ms
(/ 1 (/ 1 (/ (- x (* y z)) (- t (* a z)))))
65.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify75.0ms

Algorithm
egg-herbie
Counts
374 → 374
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
011724931
150014039

prune663.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 8.9b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
30×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
25×add-exp-log
24×associate-*r*
21×cbrt-prod
17×add-cbrt-cube
12×prod-exp cbrt-unprod
11×pow1
6×pow-prod-down associate-/l*
5×associate-*r/
4×cbrt-undiv flip3-- div-exp associate-/r/ flip--
3×associate-/r*
2×expm1-log1p-u frac-times associate-*l/ log1p-expm1-u div-inv add-log-exp
1×frac-2neg associate-*l* clear-num *-commutative
Counts
2 → 98
Calls
2 calls:
9.0ms
(/ (cbrt 1) (- t (* a z)))
103.0ms
(* (* (* (cbrt 1) (cbrt 1)) (- x (* y z))) (/ (cbrt 1) (- t (* a z))))

series112.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (cbrt 1) (- t (* a z)))
61.0ms
(* (* (* (cbrt 1) (cbrt 1)) (- x (* y z))) (/ (cbrt 1) (- t (* a z))))

simplify77.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
04841157
127111001
25001652

prune201.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 8.9b

regimes250.0ms

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

sample587.0ms

Algorithm
intervals
Results
247.0ms8734×body80valid