Details

Time bar (total: 5.5s)

sample36.0ms

Algorithm
intervals
Results
17.0ms390×body80valid

simplify38.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03810
111210
238410
3156810
4500110

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

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))

rewrite137.0ms

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:
10.0ms
(* (- y 1.0) z)
10.0ms
(* (- t 1.0) a)
53.0ms
(* (- (+ y t) 2.0) b)
61.0ms
(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))

series248.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* (- y 1.0) z)
30.0ms
(* (- t 1.0) a)
26.0ms
(* (- (+ y t) 2.0) b)
159.0ms
(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))

simplify106.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
08861273
145451219
250011219

prune345.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt b) (cbrt b))
0.6b
(cbrt b)
0.6b
(cbrt b)
0.6b
(cbrt b)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt b) (cbrt b))
0.0ms
(cbrt b)
0.0ms
(cbrt b)
1.0ms
(cbrt b)

series778.0ms

Counts
4 → 12
Calls
4 calls:
228.0ms
(* (cbrt b) (cbrt b))
196.0ms
(cbrt b)
181.0ms
(cbrt b)
173.0ms
(cbrt b)

simplify99.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune284.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ y t) (+ y t))
0.0b
(- (* (+ y t) (+ y t)) (* 2.0 2.0))
7.1b
(* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b)
13.0b
(/ (* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b) (+ (+ y t) 2.0))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
16×add-sqr-sqrt
13×pow1 add-exp-log add-cbrt-cube
12×add-cube-cbrt distribute-lft-out
8×associate-*l*
7×flip3-+ associate-*r* flip-+
6×swap-sqr associate-*l/ add-log-exp
5×times-frac associate-/r*
4×frac-times
3×flip3-- prod-exp flip-- cbrt-unprod
2×cbrt-undiv distribute-rgt-in distribute-lft-in associate-*r/ div-exp pow-prod-down associate--l+ associate-/r/ *-commutative associate-/l/ difference-of-squares unswap-sqr
1×pow2 sub-neg frac-2neg pow-plus diff-log clear-num pow-sqr pow-prod-up div-inv associate-/l*
Counts
4 → 105
Calls
4 calls:
17.0ms
(* (+ y t) (+ y t))
8.0ms
(- (* (+ y t) (+ y t)) (* 2.0 2.0))
29.0ms
(* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b)
33.0ms
(/ (* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b) (+ (+ y t) 2.0))

series166.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* (+ y t) (+ y t))
31.0ms
(- (* (+ y t) (+ y t)) (* 2.0 2.0))
48.0ms
(* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b)
66.0ms
(/ (* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b) (+ (+ y t) 2.0))

simplify111.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (94.0ms)

IterNodesCost
0506891
12569766
25001762

prune346.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite412.0ms

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:
16.0ms
(+ (sqrt (+ y t)) (sqrt 2.0))
23.0ms
(- (sqrt (+ y t)) (sqrt 2.0))
102.0ms
(* (- (sqrt (+ y t)) (sqrt 2.0)) b)
268.0ms
(* (+ (sqrt (+ y t)) (sqrt 2.0)) (* (- (sqrt (+ y t)) (sqrt 2.0)) b))

series665.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(+ (sqrt (+ y t)) (sqrt 2.0))
63.0ms
(- (sqrt (+ y t)) (sqrt 2.0))
138.0ms
(* (- (sqrt (+ y t)) (sqrt 2.0)) b)
413.0ms
(* (+ (sqrt (+ y t)) (sqrt 2.0)) (* (- (sqrt (+ y t)) (sqrt 2.0)) b))

simplify59.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0460956
11960772
25001763

prune324.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes188.0ms

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

sample975.0ms

Algorithm
intervals
Results
544.0ms12616×body80valid
0.0ms2×body640valid
0.0ms1×body320valid