Details

Time bar (total: 2.5s)

sample26.0ms

Algorithm
intervals
Results
15.0ms288×body80valid

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1294
2544
3774
41044
51254
61344
71444
81454
91494
101534
112484
122864
133084
143944
154634
165214
176154
186914
197004
207004

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.9b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
14.0b
(/ (* x (- y z)) (- t z))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
5×times-frac associate-*r* associate-/r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
10.0ms
(* x (- y z))
10.0ms
(/ (* x (- y z)) (- t z))

series97.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* x (- y z))
64.0ms
(/ (* x (- y z)) (- t z))

simplify34.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0264276
11209239
25001239

prune108.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
11.0ms
(/ (- y z) (- t z))
25.0ms
(* x (/ (- y z) (- t z)))

series112.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ (- y z) (- t z))
66.0ms
(* x (/ (- y z) (- t z)))

simplify42.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0349647
11396606
25001606

prune190.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- t z))
0.0b
(* x (- y z))
14.1b
(* (* x (- y z)) (/ 1 (- t z)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
40×*-un-lft-identity
31×add-exp-log
30×times-frac
26×associate-*r*
24×add-cube-cbrt
19×add-cbrt-cube
13×prod-exp
11×pow1
8×distribute-lft-out-- difference-of-squares
7×associate-*r/ cbrt-unprod
6×div-exp
5×flip3-- associate-/r* flip--
4×associate-*l* pow-prod-down associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp
2×distribute-rgt-in frac-times sub-neg distribute-lft-in associate-*l/ *-commutative div-inv
1×pow-flip frac-2neg clear-num un-div-inv inv-pow unswap-sqr
Counts
3 → 117
Calls
3 calls:
6.0ms
(/ 1 (- t z))
10.0ms
(* x (- y z))
28.0ms
(* (* x (- y z)) (/ 1 (- t z)))

series139.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ 1 (- t z))
35.0ms
(* x (- y z))
69.0ms
(* (* x (- y z)) (/ 1 (- t z)))

simplify62.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0423635
12345538
25003495

prune187.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (- y z))
0.4b
(/ 1 (/ (- t z) (* x (- y z))))
14.0b
(/ (- t z) (* x (- y z)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
58×times-frac
43×add-sqr-sqrt
41×*-un-lft-identity
31×add-exp-log
27×add-cube-cbrt
19×add-cbrt-cube
14×div-exp
12×associate-*r/ associate-/r*
11×associate-/r/
8×associate-/l*
7×cbrt-undiv flip3-- flip-- distribute-lft-out-- difference-of-squares
6×pow1 div-inv
5×associate-*r* prod-exp
3×rec-exp 1-exp associate-*l* cbrt-unprod add-log-exp
2×distribute-rgt-in sub-neg frac-2neg distribute-lft-in clear-num associate-/l/
1×pow-flip div-sub pow-prod-down *-commutative inv-pow unswap-sqr
Counts
3 → 128
Calls
3 calls:
10.0ms
(* x (- y z))
17.0ms
(/ 1 (/ (- t z) (* x (- y z))))
11.0ms
(/ (- t z) (* x (- y z)))

series260.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(* x (- y z))
161.0ms
(/ 1 (/ (- t z) (* x (- y z))))
61.0ms
(/ (- t z) (* x (- y z)))

simplify64.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0468910
12331795
25002731

prune201.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes118.0ms

Accuracy

0% (2.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094
194

end0.0ms

sample664.0ms

Algorithm
intervals
Results
428.0ms8712×body80valid