Details

Time bar (total: 5.0s)

sample39.0ms

Algorithm
intervals
Results
20.0ms395×body80valid

simplify42.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (40.0ms)

IterNodesCost
03810
11189
24289
317639
450028

prune7.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- y 1.0) z)
0.0b
(* (- t 1.0) a)
0.0b
(* (- (+ y t) 2.0) b)
0.0b
(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
496×*-un-lft-identity
237×distribute-lft-out--
208×associate-*l*
203×add-sqr-sqrt
158×associate-+l+
154×prod-diff
72×add-cube-cbrt
66×distribute-lft-out
44×associate--l+ difference-of-squares
42×associate-*r*
29×unswap-sqr
26×associate-*l/
19×flip3-- flip--
17×fma-def
14×*-commutative
13×add-log-exp
12×frac-add
10×pow1 add-exp-log add-cbrt-cube
8×frac-sub
4×expm1-log1p-u log1p-expm1-u
3×diff-log pow-prod-down prod-exp sum-log cbrt-unprod
2×associate-+l- sub-neg
1×+-commutative associate--l- flip3-+ flip-+
Counts
4 → 329
Calls
4 calls:
6.0ms
(* (- y 1.0) z)
6.0ms
(* (- t 1.0) a)
8.0ms
(* (- (+ y t) 2.0) b)
59.0ms
(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))

series256.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* (- y 1.0) z)
31.0ms
(* (- t 1.0) a)
28.0ms
(* (- (+ y t) 2.0) b)
163.0ms
(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))

simplify67.0ms

Algorithm
egg-herbie
Counts
341 → 341
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
012074340
150013319

prune727.0ms

Filtered
341 candidates to 189 candidates (55.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New3383341
Fresh000
Picked101
Done000
Total3393342

Merged error: 0b

Counts
342 → 3

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma b (- (+ y t) 2.0) (- x (fma (- y 1.0) z (* (- t 1.0) a))))
0.0b
(fma (- y 1.0) z (* (- t 1.0) a))
0.0b
(* (- t 1.0) a)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
7×*-un-lft-identity
5×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
3×expm1-log1p-u associate-*r* log1p-expm1-u add-log-exp
2×associate-*l/ fma-udef
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 44
Calls
3 calls:
1.0ms
(fma b (- (+ y t) 2.0) (- x (fma (- y 1.0) z (* (- t 1.0) a))))
1.0ms
(fma (- y 1.0) z (* (- t 1.0) a))
6.0ms
(* (- t 1.0) a)

series254.0ms

Counts
3 → 9
Calls
3 calls:
153.0ms
(fma b (- (+ y t) 2.0) (- x (fma (- y 1.0) z (* (- t 1.0) a))))
70.0ms
(fma (- y 1.0) z (* (- t 1.0) a))
31.0ms
(* (- t 1.0) a)

simplify55.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0189296
1585255
22548252
35003252

prune141.0ms

Filtered
53 candidates to 42 candidates (79.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New53053
Fresh022
Picked011
Done000
Total53356

Merged error: 0b

Counts
56 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* (cbrt (- (+ y t) 2.0)) (cbrt (- (+ y t) 2.0))) (* (cbrt (- (+ y t) 2.0)) b))
0.7b
(cbrt (- (+ y t) 2.0))
0.7b
(cbrt (- (+ y t) 2.0))
0.7b
(cbrt (- (+ y t) 2.0))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
132×add-sqr-sqrt
92×cbrt-prod
84×*-un-lft-identity
63×unswap-sqr
60×cbrt-div associate-*l*
39×add-cbrt-cube
37×cbrt-unprod
32×associate-*l/
31×associate-*r*
30×flip3-- flip--
28×frac-times
24×distribute-lft-out--
21×swap-sqr
20×add-cube-cbrt
16×pow1 add-exp-log
12×distribute-lft-out
8×associate-*r/ pow-prod-down prod-exp difference-of-squares
6×*-commutative
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
Counts
4 → 201
Calls
4 calls:
47.0ms
(* (* (cbrt (- (+ y t) 2.0)) (cbrt (- (+ y t) 2.0))) (* (cbrt (- (+ y t) 2.0)) b))
5.0ms
(cbrt (- (+ y t) 2.0))
5.0ms
(cbrt (- (+ y t) 2.0))
5.0ms
(cbrt (- (+ y t) 2.0))

series388.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* (* (cbrt (- (+ y t) 2.0)) (cbrt (- (+ y t) 2.0))) (* (cbrt (- (+ y t) 2.0)) b))
113.0ms
(cbrt (- (+ y t) 2.0))
111.0ms
(cbrt (- (+ y t) 2.0))
113.0ms
(cbrt (- (+ y t) 2.0))

simplify99.0ms

Algorithm
egg-herbie
Counts
213 → 213
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
08093224
131012666
250022485

prune501.0ms

Filtered
213 candidates to 127 candidates (59.6%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2130213
Fresh011
Picked011
Done011
Total2133216

Merged error: 0b

Counts
216 → 3

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (sqrt x) (sqrt (* (- y 1.0) z)))
0.0b
(fma b (- (+ y t) 2.0) (fma (- a) (- t 1.0) (* a (- t 1.0))))
0.1b
(fma (+ (sqrt x) (sqrt (* (- y 1.0) z))) (- (sqrt x) (sqrt (* (- y 1.0) z))) (- (* (* (- t 1.0) a) 1)))
27.2b
(fma (- a) (- t 1.0) (* a (- t 1.0)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
9×sqrt-prod
6×add-sqr-sqrt add-cube-cbrt fma-def add-log-exp
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u distribute-lft-out
3×fma-udef
2×associate-*l*
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out--
Counts
4 → 53
Calls
4 calls:
14.0ms
(+ (sqrt x) (sqrt (* (- y 1.0) z)))
1.0ms
(fma b (- (+ y t) 2.0) (fma (- a) (- t 1.0) (* a (- t 1.0))))
1.0ms
(fma (+ (sqrt x) (sqrt (* (- y 1.0) z))) (- (sqrt x) (sqrt (* (- y 1.0) z))) (- (* (* (- t 1.0) a) 1)))
1.0ms
(fma (- a) (- t 1.0) (* a (- t 1.0)))

series758.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(+ (sqrt x) (sqrt (* (- y 1.0) z)))
75.0ms
(fma b (- (+ y t) 2.0) (fma (- a) (- t 1.0) (* a (- t 1.0))))
562.0ms
(fma (+ (sqrt x) (sqrt (* (- y 1.0) z))) (- (sqrt x) (sqrt (* (- y 1.0) z))) (- (* (* (- t 1.0) a) 1)))
39.0ms
(fma (- a) (- t 1.0) (* a (- t 1.0)))

simplify77.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 3 (70.0ms)

IterNodesCost
0241568
1661470
23040450
35001447

prune246.0ms

Filtered
65 candidates to 54 candidates (83.1%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New65065
Fresh000
Picked011
Done022
Total65368

Merged error: 0b

Counts
68 → 3

regimes151.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0238
1258
2258

end0.0ms

sample953.0ms

Algorithm
intervals
Results
544.0ms12488×body80valid
0.0ms4×body320valid
0.0ms1×body1280valid
0.0ms1×body640valid
0.0ms1×body160valid