Details

Time bar (total: 3.4s)

sample26.0ms

Algorithm
intervals
Results
8.0ms232×body80valid
2.0ms15×body640valid
2.0ms9×body1280valid
1.0ms13×body320valid
0.0ms5×body160valid

simplify119.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0226
1526
21096
31956
44456
58286
614346
725206
848306
950016

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: 17.6b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

1.4b
(- (+ x y) (/ (* (- z t) y) (- a t)))
12.6b
(/ (* (- z t) y) (- a t))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
10×add-sqr-sqrt
7×add-exp-log add-cbrt-cube add-log-exp
5×times-frac associate-/r*
4×add-cube-cbrt distribute-lft-out--
3×flip3-- flip-- difference-of-squares
2×pow1 cbrt-undiv diff-log div-exp associate-*l/ associate-/r/ frac-sub associate-/l/
1×sub-neg frac-2neg flip3-+ prod-exp associate--l+ clear-num sum-log cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
2 → 48
Calls
2 calls:
13.0ms
(- (+ x y) (/ (* (- z t) y) (- a t)))
9.0ms
(/ (* (- z t) y) (- a t))

series170.0ms

Counts
2 → 6
Calls
2 calls:
111.0ms
(- (+ x y) (/ (* (- z t) y) (- a t)))
59.0ms
(/ (* (- z t) y) (- a t))

simplify39.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0333376
11377346
25001344

prune140.0ms

Filtered
54 candidates to 39 candidates (72.2%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New431154
Fresh000
Picked101
Done000
Total441155

Merged error: 5.7b

Counts
55 → 11

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- a t))
1.9b
(- (+ x y) (* (- z t) (/ y (- a t))))
9.6b
(* (- z t) (/ y (- a t)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
39×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
21×associate-*r*
10×add-exp-log frac-sub add-cbrt-cube
9×flip3-- flip--
8×distribute-lft-out-- add-log-exp difference-of-squares
6×frac-times associate-*l/
5×pow1 flip3-+ associate-*l* associate-/r* flip-+
4×associate-/r/
3×associate-*r/ associate-/l*
2×cbrt-undiv diff-log div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×sub-neg frac-2neg pow-prod-down associate--l+ clear-num sum-log *-commutative
Counts
3 → 107
Calls
3 calls:
8.0ms
(/ y (- a t))
6.0ms
(- (+ x y) (* (- z t) (/ y (- a t))))
13.0ms
(* (- z t) (/ y (- a t)))

series197.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ y (- a t))
111.0ms
(- (+ x y) (* (- z t) (/ y (- a t))))
59.0ms
(* (- z t) (/ y (- a t)))

simplify67.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0559844
12676803
25001803

prune268.0ms

Filtered
116 candidates to 81 candidates (69.8%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1106116
Fresh3710
Picked101
Done000
Total11413127

Merged error: 5.7b

Counts
127 → 13

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- a t))
0.2b
(* y (/ 1 (- a t)))
2.6b
(- (+ x y) (* (- z t) (* y (/ 1 (- a t)))))
9.6b
(* (- z t) (* y (/ 1 (- a t))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
42×*-un-lft-identity
32×add-exp-log times-frac
25×add-cube-cbrt
22×associate-*r*
20×add-cbrt-cube
16×associate-*r/ frac-sub
13×prod-exp
12×pow1 frac-times flip3-- flip--
10×un-div-inv
9×add-log-exp
8×flip3-+ associate-*l* flip-+ distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×div-exp associate-*l/
5×associate-/r*
4×pow-prod-down associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* unswap-sqr
2×diff-log *-commutative div-inv
1×sub-neg pow-flip frac-2neg associate--l+ clear-num sum-log inv-pow
Counts
4 → 147
Calls
4 calls:
5.0ms
(/ 1 (- a t))
10.0ms
(* y (/ 1 (- a t)))
8.0ms
(- (+ x y) (* (- z t) (* y (/ 1 (- a t)))))
12.0ms
(* (- z t) (* y (/ 1 (- a t))))

series236.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(/ 1 (- a t))
31.0ms
(* y (/ 1 (- a t)))
109.0ms
(- (+ x y) (* (- z t) (* y (/ 1 (- a t)))))
63.0ms
(* (- z t) (* y (/ 1 (- a t))))

simplify81.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
06761149
130601038
25002989

prune277.0ms

Filtered
159 candidates to 90 candidates (56.6%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1581159
Fresh11112
Picked011
Done000
Total15913172

Merged error: 5.7b

Counts
172 → 13

localize13.0ms

Local error

Found 4 expressions with local error:

7.5b
(- (+ x y) (* (* (- z t) (* (cbrt (/ y (- a t))) (cbrt (/ y (- a t))))) (cbrt (/ y (- a t)))))
12.2b
(cbrt (/ y (- a t)))
12.2b
(cbrt (/ y (- a t)))
12.2b
(cbrt (/ y (- a t)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
75×cbrt-div
63×cbrt-prod
58×frac-times
49×add-sqr-sqrt *-un-lft-identity
46×frac-sub
45×times-frac
42×associate-*l/
31×add-cube-cbrt
26×associate-*r/
23×flip3-+ flip-+
20×flip3-- flip--
9×distribute-lft-out-- add-log-exp difference-of-squares
6×associate-/r/
4×pow1 add-exp-log add-cbrt-cube
3×pow1/3 div-inv
2×diff-log
1×sub-neg associate--l+ sum-log
Counts
4 → 150
Calls
4 calls:
12.0ms
(- (+ x y) (* (* (- z t) (* (cbrt (/ y (- a t))) (cbrt (/ y (- a t))))) (cbrt (/ y (- a t)))))
5.0ms
(cbrt (/ y (- a t)))
5.0ms
(cbrt (/ y (- a t)))
5.0ms
(cbrt (/ y (- a t)))

series660.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(- (+ x y) (* (* (- z t) (* (cbrt (/ y (- a t))) (cbrt (/ y (- a t))))) (cbrt (/ y (- a t)))))
164.0ms
(cbrt (/ y (- a t)))
164.0ms
(cbrt (/ y (- a t)))
163.0ms
(cbrt (/ y (- a t)))

simplify98.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
09702787
133582599
250032585

prune490.0ms

Filtered
162 candidates to 118 candidates (72.8%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New1593162
Fresh01111
Picked101
Done011
Total16015175

Merged error: 5.7b

Counts
175 → 15

regimes365.0ms

bsearch3.0ms

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