Details

Time bar (total: 4.3s)

sample17.0ms

Algorithm
intervals
Results
7.0ms280×body80valid

simplify52.0ms

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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.9b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
8.4b
(/ (* x (- y z)) (- t z))

rewrite24.0ms

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))
12.0ms
(/ (* x (- y z)) (- t z))

series111.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(* x (- y z))
60.0ms
(/ (* x (- y z)) (- t z))

simplify38.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0264276
11209239
25001239

prune115.0ms

Filtered
61 candidates to 40 candidates (65.6%)
Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
3.2b
(/ x (/ (- t z) (- y z)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×div-sub
Counts
2 → 194
Calls
2 calls:
13.0ms
(/ (- t z) (- y z))
14.0ms
(/ x (/ (- t z) (- y z)))

series228.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ (- t z) (- y z))
183.0ms
(/ x (/ (- t z) (- y z)))

simplify75.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06331784
128631733
250011730

prune424.0ms

Filtered
200 candidates to 133 candidates (66.5%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ z (- y z))
0.0b
(- (/ t (- y z)) (/ z (- y z)))
0.0b
(/ t (- y z))
3.2b
(/ x (- (/ t (- y z)) (/ z (- y z))))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
203×*-un-lft-identity
174×times-frac
153×add-sqr-sqrt
68×distribute-lft-out--
57×add-cube-cbrt
38×difference-of-squares
28×associate-/r* associate-/r/
15×distribute-rgt-out--
14×flip3-- flip--
13×div-inv
10×add-exp-log add-cbrt-cube
9×associate-/l*
6×add-log-exp
4×pow1
3×cbrt-undiv frac-2neg div-exp clear-num
2×frac-sub sub-div
1×sub-neg diff-log
Counts
4 → 194
Calls
4 calls:
5.0ms
(/ z (- y z))
53.0ms
(- (/ t (- y z)) (/ z (- y z)))
5.0ms
(/ t (- y z))
78.0ms
(/ x (- (/ t (- y z)) (/ z (- y z))))

series229.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(/ z (- y z))
59.0ms
(- (/ t (- y z)) (/ z (- y z)))
29.0ms
(/ t (- y z))
97.0ms
(/ x (- (/ t (- y z)) (/ z (- y z))))

simplify53.0ms

Algorithm
egg-herbie
Counts
206 → 206
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
05091610
119111560
250021544

prune437.0ms

Filtered
206 candidates to 151 candidates (73.3%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t z) (- y z))
0.3b
(/ 1 (/ (/ (- t z) (- y z)) x))
3.2b
(/ (/ (- t z) (- y z)) x)

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
1181×times-frac
793×add-sqr-sqrt *-un-lft-identity
449×add-cube-cbrt
172×distribute-lft-out-- difference-of-squares
105×associate-/r*
39×associate-/l*
35×associate-/r/
31×add-exp-log
23×div-inv
19×div-exp add-cbrt-cube
18×flip3-- flip--
10×cbrt-undiv
4×pow1
3×rec-exp frac-2neg 1-exp div-sub clear-num associate-/l/ add-log-exp
1×pow-flip inv-pow
Counts
3 → 611
Calls
3 calls:
11.0ms
(/ (- t z) (- y z))
34.0ms
(/ 1 (/ (/ (- t z) (- y z)) x))
20.0ms
(/ (/ (- t z) (- y z)) x)

series270.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ (- t z) (- y z))
149.0ms
(/ 1 (/ (/ (- t z) (- y z)) x))
72.0ms
(/ (/ (- t z) (- y z)) x)

simplify97.0ms

Algorithm
egg-herbie
Counts
620 → 620
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
017607383
150026711

prune1.2s

Filtered
620 candidates to 345 candidates (55.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes155.0ms

Accuracy

48.9% (1.2b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 2.5b

bsearch1.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02218
12218

end0.0ms

sample452.0ms

Algorithm
intervals
Results
232.0ms8737×body80valid