Details

Time bar (total: 4.2s)

sample37.0ms

Algorithm
intervals
Results
17.0ms394×body80valid

simplify37.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03810
111210
238410
3156810
4500110

prune3.0ms

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: 0.0b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
26×associate-*l/
22×add-sqr-sqrt
19×flip3-- *-un-lft-identity flip--
16×associate-*l*
13×add-log-exp
12×frac-add
10×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
9×associate-*r*
8×frac-sub
4×associate-+l+ distribute-lft-out--
3×diff-log pow-prod-down prod-exp sum-log *-commutative cbrt-unprod difference-of-squares unswap-sqr
2×sub-neg associate--l+
1×+-commutative associate-+l- flip3-+ flip-+ distribute-lft-out
Counts
4 → 97
Calls
4 calls:
6.0ms
(* (- y 1.0) z)
16.0ms
(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
6.0ms
(* (- t 1.0) a)
9.0ms
(* (- (+ y t) 2.0) b)

series240.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (- y 1.0) z)
155.0ms
(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
29.0ms
(* (- t 1.0) a)
27.0ms
(* (- (+ y t) 2.0) b)

simplify108.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
08861273
145451219
250011219

prune309.0ms

Filtered
109 candidates to 75 candidates (68.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1054109
Fresh000
Picked011
Done000
Total1055110

Merged error: 0b

Counts
110 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (sqrt (+ y t)) (sqrt 2.0))
0.0b
(+ (sqrt (+ y t)) (sqrt 2.0))
0.1b
(* (- (sqrt (+ y t)) (sqrt 2.0)) b)
0.2b
(* (+ (sqrt (+ y t)) (sqrt 2.0)) (* (- (sqrt (+ y t)) (sqrt 2.0)) b))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
25×add-sqr-sqrt
24×sqrt-prod
16×associate-*l*
11×pow1 add-exp-log add-cbrt-cube
10×associate-*l/ distribute-lft-out
8×add-log-exp difference-of-squares
7×add-cube-cbrt
6×distribute-lft-out--
5×flip3-- flip--
4×frac-times flip3-+ associate-*r* pow-prod-down prod-exp cbrt-unprod flip-+
2×associate-*r/ *-commutative
1×+-commutative sub-neg diff-log sum-log unswap-sqr
Counts
4 → 89
Calls
4 calls:
8.0ms
(- (sqrt (+ y t)) (sqrt 2.0))
8.0ms
(+ (sqrt (+ y t)) (sqrt 2.0))
15.0ms
(* (- (sqrt (+ y t)) (sqrt 2.0)) b)
20.0ms
(* (+ (sqrt (+ y t)) (sqrt 2.0)) (* (- (sqrt (+ y t)) (sqrt 2.0)) b))

series700.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(- (sqrt (+ y t)) (sqrt 2.0))
65.0ms
(+ (sqrt (+ y t)) (sqrt 2.0))
136.0ms
(* (- (sqrt (+ y t)) (sqrt 2.0)) b)
425.0ms
(* (+ (sqrt (+ y t)) (sqrt 2.0)) (* (- (sqrt (+ y t)) (sqrt 2.0)) b))

simplify55.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0460956
11960772
25001763

prune317.0ms

Filtered
101 candidates to 70 candidates (69.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1010101
Fresh033
Picked011
Done011
Total1015106

Merged error: 0b

Counts
106 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (* (- (+ y t) 2.0) b))
0.0b
(* (- t 1.0) a)
0.0b
(* (- (+ y t) 2.0) b)
2.7b
(exp (log (* (- (+ y t) 2.0) b)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×*-un-lft-identity
14×pow1
11×add-exp-log associate-*l*
9×add-cube-cbrt
8×associate-*l/ add-cbrt-cube
6×associate-*r*
5×exp-prod
4×log-div flip3-- pow-prod-down log-pow flip-- add-log-exp
3×prod-exp distribute-lft-out--
2×log-prod exp-diff rem-log-exp *-commutative cbrt-unprod difference-of-squares unswap-sqr
1×exp-sum rem-exp-log distribute-lft-out
Counts
4 → 75
Calls
4 calls:
8.0ms
(log (* (- (+ y t) 2.0) b))
6.0ms
(* (- t 1.0) a)
9.0ms
(* (- (+ y t) 2.0) b)
8.0ms
(exp (log (* (- (+ y t) 2.0) b)))

series150.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(log (* (- (+ y t) 2.0) b))
30.0ms
(* (- t 1.0) a)
27.0ms
(* (- (+ y t) 2.0) b)
30.0ms
(exp (log (* (- (+ y t) 2.0) b)))

simplify38.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0346432
11286372
25003372

prune234.0ms

Filtered
87 candidates to 55 candidates (63.2%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New87087
Fresh022
Picked011
Done022
Total87592

Merged error: 0b

Counts
92 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (* (- t 1.0) a))
0.0b
(sqrt (* (- t 1.0) a))
0.0b
(* (- (+ y t) 2.0) b)
0.3b
(* (sqrt (* (- t 1.0) a)) (sqrt (* (- t 1.0) a)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*l/
16×add-sqr-sqrt sqrt-div
15×*-un-lft-identity
12×pow1/2
10×add-cube-cbrt associate-*l* pow-prod-up
9×flip3-- flip--
8×add-exp-log add-cbrt-cube
7×associate-*r*
6×sqrt-prod pow-sqr
4×frac-times swap-sqr add-log-exp
2×associate-*r/ prod-exp *-commutative cbrt-unprod distribute-lft-out-- unswap-sqr
1×pow2 pow-plus sqrt-unprod rem-square-sqrt distribute-lft-out difference-of-squares
Counts
4 → 106
Calls
4 calls:
5.0ms
(sqrt (* (- t 1.0) a))
5.0ms
(sqrt (* (- t 1.0) a))
9.0ms
(* (- (+ y t) 2.0) b)
14.0ms
(* (sqrt (* (- t 1.0) a)) (sqrt (* (- t 1.0) a)))

series222.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(sqrt (* (- t 1.0) a))
82.0ms
(sqrt (* (- t 1.0) a))
27.0ms
(* (- (+ y t) 2.0) b)
30.0ms
(* (sqrt (* (- t 1.0) a)) (sqrt (* (- t 1.0) a)))

simplify46.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0308583
11271504
25003486

prune274.0ms

Filtered
118 candidates to 66 candidates (55.9%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1180118
Fresh011
Picked011
Done033
Total1185123

Merged error: 0b

Counts
123 → 5

regimes246.0ms

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
02310
12310

end0.0ms

sample990.0ms

Algorithm
intervals
Results
544.0ms12418×body80valid
0.0ms2×body640valid
0.0ms2×body160valid