Details

Time bar (total: 7.5s)

analyze945.0ms

Algorithm
search

sample33.0ms

Algorithm
intervals
Results
8.0ms208×body80valid
7.0ms16×body640valid
2.0ms17×body320valid
1.0ms8×body1280valid
1.0ms18×body80invalid
1.0ms7×body160valid

simplify118.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0226
1526
21096
31956
44456
58286
614346
725206
848306
950016

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 17.2b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- z t) y)
2.6b
(- (+ x y) (/ (* (- z t) y) (- a t)))
10.7b
(/ (* (- z t) y) (- a t))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
17×add-sqr-sqrt
10×add-exp-log add-cbrt-cube
8×add-log-exp
7×add-cube-cbrt
5×pow1 times-frac associate-*l* associate-/r* distribute-lft-out--
4×flip3-- associate-*l/ flip-- difference-of-squares
3×associate-*r*
2×cbrt-undiv diff-log div-exp prod-exp associate-/r/ frac-sub cbrt-unprod associate-/l/
1×sub-neg frac-2neg flip3-+ pow-prod-down associate--l+ clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 70
Calls
3 calls:
6.0ms
(* (- z t) y)
9.0ms
(- (+ x y) (/ (* (- z t) y) (- a t)))
8.0ms
(/ (* (- z t) y) (- a t))

series57.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(* (- z t) y)
35.0ms
(- (+ x y) (/ (* (- z t) y) (- a t)))
15.0ms
(/ (* (- z t) y) (- a t))

simplify44.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0383461
11704422
25001422

prune132.0ms

Filtered
56 candidates to 79 candidates (-41.1%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New691079
Fresh000
Picked101
Done000
Total701080

Merged error: 3.3b

Counts
80 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a t))
0.6b
(* (cbrt (- a t)) (cbrt (- a t)))
4.1b
(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
8.9b
(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
72×add-sqr-sqrt
54×*-un-lft-identity
50×cbrt-prod
38×associate-*r*
36×times-frac
30×add-cube-cbrt
28×cbrt-div
27×add-exp-log
25×associate-*l*
18×add-cbrt-cube
15×flip3-- flip--
13×pow1
11×frac-times distribute-lft-out--
10×swap-sqr associate-/r/ unswap-sqr
9×prod-exp cbrt-unprod add-log-exp difference-of-squares
7×cbrt-undiv pow1/3 associate-*r/ div-exp associate-*l/
6×frac-sub
3×flip3-+ pow-prod-down flip-+
2×diff-log pow-sqr *-commutative pow-prod-up div-inv
1×pow2 sub-neg pow-plus associate--l+ sum-log
Counts
4 → 168
Calls
4 calls:
3.0ms
(cbrt (- a t))
10.0ms
(* (cbrt (- a t)) (cbrt (- a t)))
26.0ms
(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
5.0ms
(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

series113.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (- a t))
31.0ms
(* (cbrt (- a t)) (cbrt (- a t)))
21.0ms
(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
36.0ms
(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

simplify114.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
09122093
142791915
250011799

prune216.0ms

Filtered
126 candidates to 180 candidates (-42.9%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1773180
Fresh099
Picked101
Done000
Total17812190

Merged error: 3.0b

Counts
190 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a t))
0.6b
(* (cbrt (- a t)) (cbrt (- a t)))
4.1b
(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
16.7b
(- y (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
72×add-sqr-sqrt
54×*-un-lft-identity
50×cbrt-prod
38×associate-*r*
36×times-frac
30×add-cube-cbrt
28×cbrt-div
27×add-exp-log
25×associate-*l*
18×add-cbrt-cube
15×flip3-- flip--
13×pow1
11×distribute-lft-out--
10×swap-sqr associate-/r/ unswap-sqr
9×frac-times prod-exp cbrt-unprod difference-of-squares
7×cbrt-undiv pow1/3 div-exp
6×add-log-exp
5×associate-*r/ associate-*l/
3×pow-prod-down
2×pow-sqr *-commutative pow-prod-up div-inv
1×pow2 sub-neg pow-plus diff-log
Counts
4 → 160
Calls
4 calls:
3.0ms
(cbrt (- a t))
12.0ms
(* (cbrt (- a t)) (cbrt (- a t)))
27.0ms
(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
3.0ms
(- y (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

series104.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(cbrt (- a t))
33.0ms
(* (cbrt (- a t)) (cbrt (- a t)))
21.0ms
(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
23.0ms
(- y (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

simplify101.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
07841881
136431711
250011591

prune202.0ms

Filtered
120 candidates to 172 candidates (-43.3%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1711172
Fresh01111
Picked011
Done000
Total17113184

Merged error: 2.8b

Counts
184 → 13

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (- y (pow (* (/ y (- a t)) (- z t)) 1)))
0.0b
(/ y (- a t))
4.6b
(- y (pow (* (/ y (- a t)) (- z t)) 1))
11.1b
(* (/ y (- a t)) (- z t))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
47×*-un-lft-identity
31×times-frac
24×add-cube-cbrt
21×associate-*l*
11×add-exp-log add-cbrt-cube add-log-exp
10×distribute-lft-out-- difference-of-squares
6×pow1
5×flip3-- associate-*r* associate-/r* flip--
4×sub-neg associate-/r/
3×associate-/l*
2×cbrt-undiv distribute-rgt-in frac-times associate-+r+ distribute-lft-in diff-log associate-*r/ div-exp prod-exp sum-log cbrt-unprod div-inv distribute-lft-out unswap-sqr
1×+-commutative associate-+r- frac-2neg flip3-+ pow-prod-down associate-*l/ clear-num *-commutative flip-+ sqr-pow
Counts
4 → 119
Calls
4 calls:
6.0ms
(+ x (- y (pow (* (/ y (- a t)) (- z t)) 1)))
5.0ms
(/ y (- a t))
4.0ms
(- y (pow (* (/ y (- a t)) (- z t)) 1))
11.0ms
(* (/ y (- a t)) (- z t))

series86.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ x (- y (pow (* (/ y (- a t)) (- z t)) 1)))
7.0ms
(/ y (- a t))
27.0ms
(- y (pow (* (/ y (- a t)) (- z t)) 1))
27.0ms
(* (/ y (- a t)) (- z t))

simplify52.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0471804
11899753
25003752

prune141.0ms

Filtered
96 candidates to 131 candidates (-36.5%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New1283131
Fresh11011
Picked101
Done011
Total13014144

Merged error: 2.8b

Counts
144 → 14

regimes615.0ms

Accuracy

26.7% (5.3b remaining)

Error of 9.1b against oracle of 3.8b and baseline of 11.0b

bsearch2.5s

Steps
ItersRangePoint
8
5.19081278569074e-187
1.5082555149607887e-184
1.730959775598333e-185
8
-1.6317892875854514e-118
-7.576765128003292e-123
-1.6101308128103436e-120

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03016
13016

end0.0ms

analyze966.0ms

Algorithm
search

sample773.0ms

Algorithm
intervals
Results
276.0ms6617×body80valid
67.0ms459×body640valid
50.0ms382×body320valid
47.0ms256×body1280valid
27.0ms689×body80invalid
20.0ms273×body160valid
3.0ms13×body2560valid

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