Details

Time bar (total: 3.7s)

sample19.0ms

Algorithm
intervals
Results
9.0ms281×body80valid

simplify57.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1304
2654
31564
43024
54704
68654
712434
815454
917054
1017054

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
6.0b
(/ x (* (- y z) (- t z)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt flip3-- flip--
10×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
6×add-cube-cbrt
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 63
Calls
2 calls:
17.0ms
(* (- y z) (- t z))
8.0ms
(/ x (* (- y z) (- t z)))

series143.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* (- y z) (- t z))
112.0ms
(/ x (* (- y z) (- t z)))

simplify39.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0300403
11371359
25001355

prune164.0ms

Filtered
69 candidates to 51 candidates (73.9%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
2.0b
(/ (/ x (- y z)) (- t z))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
176×add-sqr-sqrt *-un-lft-identity
88×add-cube-cbrt
44×distribute-lft-out-- difference-of-squares
24×associate-/l*
16×associate-/r/
10×associate-/r*
9×add-exp-log add-cbrt-cube
8×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 185
Calls
2 calls:
5.0ms
(/ x (- y z))
17.0ms
(/ (/ x (- y z)) (- t z))

series139.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ x (- y z))
113.0ms
(/ (/ x (- y z)) (- t z))

simplify60.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
06361735
123041691
250011691

prune388.0ms

Filtered
191 candidates to 129 candidates (67.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- y z))
0.0b
(/ 1 (- t z))
2.1b
(* (/ x (- y z)) (/ 1 (- t z)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
86×add-sqr-sqrt
71×*-un-lft-identity
67×times-frac
41×add-cube-cbrt
31×add-exp-log
21×associate-*r* associate-*l*
19×add-cbrt-cube
14×distribute-lft-out-- difference-of-squares
11×div-exp
10×associate-/r*
8×prod-exp associate-/r/
6×pow1 cbrt-undiv associate-/l* unswap-sqr
4×flip3-- flip-- cbrt-unprod div-inv
3×rec-exp 1-exp add-log-exp
2×frac-2neg clear-num
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative inv-pow
Counts
3 → 151
Calls
3 calls:
5.0ms
(/ x (- y z))
6.0ms
(/ 1 (- t z))
36.0ms
(* (/ x (- y z)) (/ 1 (- t z)))

series176.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ x (- y z))
36.0ms
(/ 1 (- t z))
114.0ms
(* (/ x (- y z)) (/ 1 (- t z)))

simplify50.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0527911
12194796
25001746

prune285.0ms

Filtered
160 candidates to 97 candidates (60.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- y z) x)
0.4b
(/ 1 (/ (- y z) x))
2.0b
(/ (/ 1 (/ (- y z) x)) (- t z))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
1054×times-frac
680×add-sqr-sqrt *-un-lft-identity
414×add-cube-cbrt
133×distribute-lft-out-- difference-of-squares
70×associate-/l*
35×add-exp-log
31×div-inv
27×associate-/r*
22×div-exp
19×add-cbrt-cube
10×cbrt-undiv
9×associate-/r/
4×pow1 rec-exp 1-exp
3×frac-2neg clear-num associate-/l/ add-log-exp
2×flip3-- flip--
1×pow-flip div-sub inv-pow
Counts
3 → 538
Calls
3 calls:
8.0ms
(/ (- y z) x)
9.0ms
(/ 1 (/ (- y z) x))
31.0ms
(/ (/ 1 (/ (- y z) x)) (- t z))

series291.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ (- y z) x)
58.0ms
(/ 1 (/ (- y z) x))
203.0ms
(/ (/ 1 (/ (- y z) x)) (- t z))

simplify89.0ms

Algorithm
egg-herbie
Counts
547 → 547
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
017616454
150015928

prune945.0ms

Filtered
547 candidates to 280 candidates (51.2%)
Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes128.0ms

Accuracy

-1.7% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch20.0ms

Steps
ItersRangePoint
5
1.6217820133026693e+192
5.589172329431086e+192
3.7260765068019463e+192

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01810
11810

end0.0ms

sample429.0ms

Algorithm
intervals
Results
217.0ms8420×body80valid