Details

Time bar (total: 8.8s)

sample20.0ms

Algorithm
intervals
Results
9.0ms342×body80valid

simplify35.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0204
1414
2584
3774
41114
51714
62934
75214
87074
97874
109644
119884
129884

prune4.0ms

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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
100×*-un-lft-identity
75×add-sqr-sqrt
72×times-frac
35×add-cube-cbrt
26×distribute-lft-out--
21×associate-*r* associate-*l*
13×distribute-lft-out difference-of-squares
12×associate-/r*
7×*-commutative unswap-sqr
6×add-exp-log add-cbrt-cube associate-/l*
2×cbrt-undiv div-exp associate-/l/
1×pow1 flip3-- frac-2neg div-sub prod-exp clear-num flip-- cbrt-unprod div-inv add-log-exp
Counts
1 → 107
Calls
1 calls:
12.0ms
(/ (- (+ x y) z) (* t 2.0))

series41.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(/ (- (+ x y) z) (* t 2.0))

simplify48.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0455909
11755880
25002879

prune127.0ms

Filtered
110 candidates to 66 candidates (60.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1082110
Fresh000
Picked011
Done000
Total1083111

Merged error: 0b

Counts
111 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 0.5 (- (+ (/ y t) (/ x t)) (/ z t)))
0.0b
(- (+ (/ y t) (/ x t)) (/ z t))
0.0b
(+ (/ y t) (/ x t))

rewrite361.0ms

Algorithm
rewrite-expression-head
Rules
1539×frac-add
1524×associate-/r* associate-/l*
1494×frac-sub
1065×*-un-lft-identity
1041×add-sqr-sqrt
1029×add-cube-cbrt
749×associate-*r/
508×frac-2neg clear-num
26×times-frac
19×flip3-+ flip-+
12×distribute-lft-out
10×associate-*r* distribute-lft-out-- add-log-exp
6×associate--l+
5×pow1 add-exp-log add-cbrt-cube
4×+-commutative distribute-rgt-in distribute-lft-in difference-of-squares
3×sub-neg associate-*l*
2×flip3-- diff-log sum-log flip-- div-inv
1×distribute-rgt-out pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 1648
Calls
3 calls:
118.0ms
(* 0.5 (- (+ (/ y t) (/ x t)) (/ z t)))
60.0ms
(- (+ (/ y t) (/ x t)) (/ z t))
14.0ms
(+ (/ y t) (/ x t))

series80.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(* 0.5 (- (+ (/ y t) (/ x t)) (/ z t)))
21.0ms
(- (+ (/ y t) (/ x t)) (/ z t))
25.0ms
(+ (/ y t) (/ x t))

simplify301.0ms

Algorithm
egg-herbie
Counts
1657 → 1657
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
0500229338

prune2.5s

Filtered
1657 candidates to 814 candidates (49.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New165611657
Fresh101
Picked011
Done011
Total165731660

Merged error: 0b

Counts
1660 → 3

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
1.9b
(* (/ t (cbrt y)) (* (cbrt x) (cbrt x)))
2.0b
(* (* (cbrt y) (cbrt y)) (/ t (cbrt x)))
23.3b
(/ (+ (* (* (cbrt y) (cbrt y)) (/ t (cbrt x))) (* (/ t (cbrt y)) (* (cbrt x) (cbrt x)))) (* (/ t (cbrt y)) (/ t (cbrt x))))

rewrite459.0ms

Algorithm
rewrite-expression-head
Rules
1262×*-un-lft-identity
1074×times-frac
1024×add-sqr-sqrt
812×associate-*l*
540×add-cube-cbrt
509×cbrt-prod
382×associate-/r*
354×distribute-lft-out
281×associate-*r*
192×associate-*l/
185×associate-/l*
176×unswap-sqr
170×associate-/r/ associate-/l/
168×associate-*r/ frac-add
144×frac-times
109×add-cbrt-cube
69×clear-num
63×cbrt-unprod
55×frac-2neg
46×add-exp-log
42×cbrt-undiv
28×un-div-inv
24×swap-sqr
23×div-inv
20×*-commutative
16×prod-exp
14×pow1
13×div-exp
6×pow-prod-down
4×add-log-exp
1×flip3-+ pow1/3 flip-+
Counts
4 → 1201
Calls
4 calls:
1.0ms
(cbrt y)
24.0ms
(* (/ t (cbrt y)) (* (cbrt x) (cbrt x)))
28.0ms
(* (* (cbrt y) (cbrt y)) (/ t (cbrt x)))
291.0ms
(/ (+ (* (* (cbrt y) (cbrt y)) (/ t (cbrt x))) (* (/ t (cbrt y)) (* (cbrt x) (cbrt x)))) (* (/ t (cbrt y)) (/ t (cbrt x))))

series779.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt y)
85.0ms
(* (/ t (cbrt y)) (* (cbrt x) (cbrt x)))
111.0ms
(* (* (cbrt y) (cbrt y)) (/ t (cbrt x)))
403.0ms
(/ (+ (* (* (cbrt y) (cbrt y)) (/ t (cbrt x))) (* (/ t (cbrt y)) (* (cbrt x) (cbrt x)))) (* (/ t (cbrt y)) (/ t (cbrt x))))

simplify280.0ms

Algorithm
egg-herbie
Counts
1213 → 1213
Iterations

Useful iterations: 1 (74.0ms)

IterNodesCost
0382525858
1500125759

prune3.0s

Filtered
1213 candidates to 672 candidates (55.4%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New121301213
Fresh000
Picked011
Done022
Total121331216

Merged error: 0b

Counts
1216 → 3

regimes146.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

sample554.0ms

Algorithm
intervals
Results
283.0ms10866×body80valid