Details

Time bar (total: 3.4s)

sample18.0ms

Algorithm
intervals
Results
7.0ms286×body80valid

simplify71.0ms

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 (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.4b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
2.3b
(* (/ (- x y) (- z y)) t)

rewrite29.0ms

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:
9.0ms
(/ (- x y) (- z y))
15.0ms
(* (/ (- x y) (- z y)) t)

series159.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(/ (- x y) (- z y))
105.0ms
(* (/ (- x y) (- z y)) t)

simplify52.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0400715
11575674
25001674

prune188.0ms

Filtered
126 candidates to 86 candidates (68.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1188126
Fresh000
Picked101
Done000
Total1198127

Merged error: 0.0b

Counts
127 → 8

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (- x y) (/ 1 (- z y)))
2.3b
(* (* (- x y) (/ 1 (- z y))) t)

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
90×add-sqr-sqrt
69×*-un-lft-identity
45×associate-*r*
44×frac-times associate-*l*
42×associate-*l/
36×add-cube-cbrt times-frac
30×associate-/r*
26×add-exp-log flip3-- flip--
22×associate-*r/
20×associate-/l*
16×add-cbrt-cube
14×distribute-lft-out-- difference-of-squares
13×prod-exp unswap-sqr
9×pow1
8×clear-num
7×cbrt-unprod
6×frac-2neg un-div-inv
4×div-exp pow-prod-down associate-/r/
3×*-commutative
2×cbrt-undiv expm1-log1p-u rec-exp 1-exp log1p-expm1-u div-inv add-log-exp
Counts
2 → 183
Calls
2 calls:
15.0ms
(* (- x y) (/ 1 (- z y)))
26.0ms
(* (* (- x y) (/ 1 (- z y))) t)

series153.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(* (- x y) (/ 1 (- z y)))
101.0ms
(* (* (- x y) (/ 1 (- z y))) t)

simplify79.0ms

Algorithm
egg-herbie
Counts
189 → 189
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
06401115
13001973
25002915

prune462.0ms

Filtered
189 candidates to 123 candidates (65.1%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1854189
Fresh347
Picked101
Done000
Total1898197

Merged error: 0b

Counts
197 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z y) (- x y))
2.7b
(/ t (/ (- z y) (- x y)))

rewrite35.0ms

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))
13.0ms
(/ t (/ (- z y) (- x y)))

series200.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (- z y) (- x y))
149.0ms
(/ t (/ (- z y) (- x y)))

simplify84.0ms

Algorithm
egg-herbie
Counts
218 → 218
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
06601848
129711795
250011793

prune307.0ms

Filtered
218 candidates to 147 candidates (67.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2153218
Fresh347
Picked011
Done000
Total2188226

Merged error: 0b

Counts
226 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- x y))
0.2b
(* (- z y) (/ 1 (- x y)))
2.7b
(/ t (* (- z y) (/ 1 (- x y))))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
209×add-sqr-sqrt
202×times-frac
181×*-un-lft-identity
114×add-cube-cbrt
105×associate-*r*
69×associate-/r*
50×associate-/r/
44×frac-times
31×add-exp-log
30×flip3-- flip-- distribute-lft-out-- difference-of-squares
26×associate-/l*
25×associate-*l*
22×associate-*r/
19×add-cbrt-cube
15×unswap-sqr
11×div-exp
10×clear-num
8×frac-2neg prod-exp
7×div-inv
6×pow1 cbrt-undiv un-div-inv
5×*-commutative
4×associate-*l/ cbrt-unprod
3×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
1×pow-flip pow-prod-down inv-pow
Counts
3 → 324
Calls
3 calls:
5.0ms
(/ 1 (- x y))
18.0ms
(* (- z y) (/ 1 (- x y)))
24.0ms
(/ t (* (- z y) (/ 1 (- x y))))

series237.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ 1 (- x y))
48.0ms
(* (- z y) (/ 1 (- x y)))
150.0ms
(/ t (* (- z y) (/ 1 (- x y))))

simplify112.0ms

Algorithm
egg-herbie
Counts
333 → 333
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
09552556
146572283
250022098

prune386.0ms

Filtered
333 candidates to 189 candidates (56.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New3303333
Fresh336
Picked011
Done011
Total3338341

Merged error: 0b

Counts
341 → 8

regimes139.0ms

Accuracy

-3.7% (2.3b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 2.3b

bsearch61.0ms

Steps
ItersRangePoint
6
6.470658052711013e-32
5.425919560626251e-31
1.4643699871055045e-31
9
-2.5045433782968514e-243
-5.785516961010807e-251
-8.573540572898596e-251

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0259
1259

end0.0ms

sample439.0ms

Algorithm
intervals
Results
227.0ms8705×body80valid