Details

Time bar (total: 8.1s)

analyze977.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
0%99.8%0.2%9
3.5%96.2%0.2%10
9.8%89.9%0.2%11
14.1%85.7%0.2%12
22.6%77.1%0.2%13
23.7%76%0.2%14

sample28.0ms

Algorithm
intervals
Results
8.0ms214×body80valid
2.0ms10×body1280valid
2.0ms14×body320valid
2.0ms12×body640valid
1.0ms21×body80invalid
0.0ms5×body160valid
0.0ms1×body2560valid

simplify59.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
0498413
1498413

prune13.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.1b

Counts
2 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (+ y (* y (/ (- t z) (- a t)))))
0.0b
(/ (- t z) (- a t))
2.2b
(+ y (* y (/ (- t z) (- a t))))
3.3b
(* y (/ (- t z) (- a t)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
77×add-sqr-sqrt
74×*-un-lft-identity
51×times-frac
31×associate-*r*
28×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
11×add-exp-log add-cbrt-cube add-log-exp
6×pow1
5×associate-/r* associate-/l*
4×sum-log associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv +-commutative flip3-+ div-exp prod-exp cbrt-unprod flip-+ div-inv associate-/l/ unswap-sqr
1×associate-+r+ frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative distribute-lft-out
Counts
4 → 127
Calls
4 calls:
5.0ms
(+ x (+ y (* y (/ (- t z) (- a t)))))
8.0ms
(/ (- t z) (- a t))
3.0ms
(+ y (* y (/ (- t z) (- a t))))
13.0ms
(* y (/ (- t z) (- a t)))

series83.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ x (+ y (* y (/ (- t z) (- a t)))))
12.0ms
(/ (- t z) (- a t))
22.0ms
(+ y (* y (/ (- t z) (- a t))))
16.0ms
(* y (/ (- t z) (- a t)))

simplify39.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
051291617

prune191.0ms

Filtered
96 candidates to 139 candidates (-44.8%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New12712139
Fresh011
Picked011
Done000
Total12714141

Merged error: 3.4b

Counts
141 → 14

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- t z))
0.6b
(cbrt (- t z))
0.6b
(cbrt (- t z))
6.5b
(+ y (* (* y (* (cbrt (- t z)) (/ (cbrt (- t z)) (* (cbrt (- a t)) (cbrt (- a t)))))) (/ (cbrt (- t z)) (cbrt (- a t)))))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
13×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
6×cbrt-div add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×flip3-- pow1/3 flip-- distribute-lft-out-- difference-of-squares
1×+-commutative flip3-+ sum-log flip-+
Counts
4 → 56
Calls
4 calls:
3.0ms
(cbrt (- t z))
3.0ms
(cbrt (- t z))
3.0ms
(cbrt (- t z))
3.0ms
(+ y (* (* y (* (cbrt (- t z)) (/ (cbrt (- t z)) (* (cbrt (- a t)) (cbrt (- a t)))))) (/ (cbrt (- t z)) (cbrt (- a t)))))

series104.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (- t z))
26.0ms
(cbrt (- t z))
28.0ms
(cbrt (- t z))
23.0ms
(+ y (* (* y (* (cbrt (- t z)) (/ (cbrt (- t z)) (* (cbrt (- a t)) (cbrt (- a t)))))) (/ (cbrt (- t z)) (cbrt (- a t)))))

simplify31.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
05127631

prune120.0ms

Filtered
55 candidates to 68 candidates (-23.6%)
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New68068
Fresh01212
Picked011
Done011
Total681482

Merged error: 3.4b

Counts
82 → 14

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a t))
0.5b
(cbrt (- a t))
7.3b
(* (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- t z) (cbrt (- a t))))
13.6b
(+ y (* (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- t z) (cbrt (- a t)))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
73×add-sqr-sqrt
57×*-un-lft-identity
50×times-frac
46×associate-*r*
37×cbrt-prod
27×add-cube-cbrt
25×add-exp-log
18×cbrt-div add-cbrt-cube
15×associate-*l* distribute-lft-out-- difference-of-squares
10×associate-/r/
9×flip3-- flip--
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×pow1 add-log-exp unswap-sqr
5×frac-times
3×associate-*r/ associate-*l/
2×pow1/3 div-inv
1×+-commutative flip3-+ pow-prod-down sum-log *-commutative flip-+
Counts
4 → 132
Calls
4 calls:
3.0ms
(cbrt (- a t))
3.0ms
(cbrt (- a t))
32.0ms
(* (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- t z) (cbrt (- a t))))
3.0ms
(+ y (* (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- t z) (cbrt (- a t)))))

series113.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(cbrt (- a t))
26.0ms
(cbrt (- a t))
27.0ms
(* (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- t z) (cbrt (- a t))))
33.0ms
(+ y (* (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- t z) (cbrt (- a t)))))

simplify60.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049492062
149492062

prune203.0ms

Filtered
110 candidates to 144 candidates (-30.9%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1422144
Fresh2911
Picked101
Done112
Total14612158

Merged error: 3.4b

Counts
158 → 12

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (- a t))
0.0b
(+ x (+ y (pow (* (/ y (- a t)) (- t z)) 1)))
4.6b
(+ y (pow (* (/ y (- a t)) (- t z)) 1))
9.3b
(* (/ y (- a t)) (- t z))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
47×*-un-lft-identity
45×add-sqr-sqrt
31×times-frac
24×add-cube-cbrt
21×associate-*l*
11×add-exp-log add-cbrt-cube add-log-exp
8×distribute-lft-out-- difference-of-squares
6×pow1
5×associate-*r* associate-/r*
4×flip3-- sum-log associate-/r/ flip-- distribute-lft-out
3×associate-/l*
2×cbrt-undiv +-commutative frac-times sub-neg flip3-+ associate-*r/ div-exp prod-exp cbrt-unprod flip-+ div-inv unswap-sqr
1×distribute-rgt-in associate-+r+ frac-2neg distribute-lft-in pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 112
Calls
4 calls:
5.0ms
(/ y (- a t))
6.0ms
(+ x (+ y (pow (* (/ y (- a t)) (- t z)) 1)))
4.0ms
(+ y (pow (* (/ y (- a t)) (- t z)) 1))
14.0ms
(* (/ y (- a t)) (- t z))

series91.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(/ y (- a t))
29.0ms
(+ x (+ y (pow (* (/ y (- a t)) (- t z)) 1)))
28.0ms
(+ y (pow (* (/ y (- a t)) (- t z)) 1))
26.0ms
(* (/ y (- a t)) (- t z))

simplify40.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
054971372

prune127.0ms

Filtered
93 candidates to 124 candidates (-33.3%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1204124
Fresh3710
Picked011
Done011
Total12313136

Merged error: 3.4b

Counts
136 → 13

regimes685.0ms

Accuracy

3.9% (4.3b remaining)

Error of 7.7b against oracle of 3.4b and baseline of 7.8b

bsearch3.2s

Steps
ItersRangePoint
10
1.495128513036391e-304
2.3577216388861972e-294
1.7804804042017774e-299
10
-7.902226398468412e-112
-5.80338794754945e-128
-6.406874337486801e-124

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03651
13651

end0.0ms

analyze969.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
0%99.8%0.2%9
3.5%96.2%0.2%10
9.8%89.9%0.2%11
14.1%85.7%0.2%12
22.6%77.1%0.2%13
23.7%76%0.2%14

sample753.0ms

Algorithm
intervals
Results
268.0ms6591×body80valid
72.0ms476×body640valid
47.0ms260×body1280valid
46.0ms396×body320valid
32.0ms755×body80invalid
20.0ms265×body160valid
3.0ms12×body2560valid

Profiling

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