Details

Time bar (total: 2.9s)

sample17.0ms

Algorithm
intervals
Results
7.0ms276×body80valid

simplify69.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0174
1254
2494
3784
41164
51414
61624
71754
81834
91874
101914
113024
123404
133664
144644
155334
166154
177214
188154
198244
208244

prune2.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.1b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
81×add-sqr-sqrt
76×*-un-lft-identity
51×times-frac
31×associate-*l*
28×add-cube-cbrt
24×distribute-lft-out-- difference-of-squares
15×associate-*l/
10×associate-/r* associate-/l*
9×add-exp-log add-cbrt-cube
4×pow1 flip3-- associate-/r/ flip-- associate-/l/
3×associate-*r*
2×cbrt-undiv expm1-log1p-u frac-2neg div-exp prod-exp clear-num cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×div-sub pow-prod-down *-commutative
Counts
2 → 120
Calls
2 calls:
10.0ms
(/ (- x y) (- z y))
15.0ms
(* (/ (- x y) (- z y)) t)

series154.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ (- x y) (- z y))
101.0ms
(* (/ (- x y) (- z y)) t)

simplify55.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0400715
11575674
25001674

prune180.0ms

Filtered
126 candidates to 86 candidates (31.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1215126
Fresh000
Picked011
Done000
Total1216127

Merged error: 0b

Counts
127 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z y))
0.2b
(* (- x y) (/ 1 (- z y)))
2.1b
(* (* (- x y) (/ 1 (- z y))) t)

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
109×add-sqr-sqrt
88×*-un-lft-identity
51×times-frac
47×add-cube-cbrt
45×associate-*r*
44×frac-times associate-*l*
42×associate-*l/
35×associate-/r*
31×add-exp-log
27×flip3-- flip--
23×associate-/l*
22×associate-*r/
19×add-cbrt-cube
18×distribute-lft-out-- difference-of-squares
13×prod-exp unswap-sqr
11×pow1
9×clear-num
7×frac-2neg cbrt-unprod
6×div-exp associate-/r/ un-div-inv
4×pow-prod-down
3×cbrt-undiv expm1-log1p-u rec-exp 1-exp *-commutative log1p-expm1-u div-inv add-log-exp
1×pow-flip inv-pow
Counts
3 → 226
Calls
3 calls:
6.0ms
(/ 1 (- z y))
17.0ms
(* (- x y) (/ 1 (- z y)))
29.0ms
(* (* (- x y) (/ 1 (- z y))) t)

series194.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ 1 (- z y))
52.0ms
(* (- x y) (/ 1 (- z y)))
103.0ms
(* (* (- x y) (/ 1 (- z y))) t)

simplify88.0ms

Algorithm
egg-herbie
Counts
235 → 235
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
06431312
130031150
250021070

prune303.0ms

Filtered
235 candidates to 144 candidates (38.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New2332235
Fresh224
Picked011
Done011
Total2356241

Merged error: 0b

Counts
241 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z y) (- x y))
2.5b
(/ t (/ (- z y) (- x y)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
200×add-sqr-sqrt *-un-lft-identity
92×add-cube-cbrt
54×distribute-lft-out-- difference-of-squares
41×associate-/r*
25×associate-/r/
13×associate-/l*
9×add-exp-log add-cbrt-cube
7×flip3-- flip--
6×div-inv
4×cbrt-undiv div-exp associate-/l/
3×frac-2neg clear-num
2×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
1×div-sub
Counts
2 → 212
Calls
2 calls:
9.0ms
(/ (- z y) (- x y))
14.0ms
(/ t (/ (- z y) (- x y)))

series210.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ (- z y) (- x y))
157.0ms
(/ t (/ (- z y) (- x y)))

simplify91.0ms

Algorithm
egg-herbie
Counts
218 → 218
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
06601848
129711795
250011793

prune317.0ms

Filtered
218 candidates to 148 candidates (32.1%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New2171218
Fresh123
Picked011
Done022
Total2186224

Merged error: 0b

Counts
224 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- z y))
9.7b
(* (* (- x y) 1) (/ t (- z y)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
72×add-sqr-sqrt
56×*-un-lft-identity
33×times-frac
30×add-cube-cbrt
26×associate-*l/
24×associate-*r*
22×frac-times
21×add-exp-log
20×associate-*l* associate-/r*
16×add-cbrt-cube
14×flip3-- flip--
13×associate-/l*
12×unswap-sqr
11×associate-*r/ distribute-lft-out-- difference-of-squares
10×prod-exp
7×pow1
6×cbrt-unprod
5×clear-num
4×frac-2neg div-exp associate-/r/
3×cbrt-undiv pow-prod-down
2×expm1-log1p-u 1-exp un-div-inv *-commutative log1p-expm1-u div-inv add-log-exp
Counts
2 → 140
Calls
2 calls:
5.0ms
(/ t (- z y))
26.0ms
(* (* (- x y) 1) (/ t (- z y)))

series100.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ t (- z y))
70.0ms
(* (* (- x y) 1) (/ t (- z y)))

simplify71.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0589908
12689852
25003850

prune201.0ms

Filtered
146 candidates to 100 candidates (31.5%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1460146
Fresh022
Picked011
Done033
Total1466152

Merged error: 0b

Counts
152 → 6

regimes170.0ms

Accuracy

29.5% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.8b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02615
12815
22815

end0.0ms

sample450.0ms

Algorithm
intervals
Results
233.0ms8704×body80valid