Details

Time bar (total: 4.1s)

analyze1.0s

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
1.8%98%0.2%10
7.7%92.1%0.2%11
10.4%89.4%0.2%12
14.9%84.9%0.2%13
16.2%83.5%0.3%14

sample32.0ms

Algorithm
intervals
Results
8.0ms212×body80valid
2.0ms15×body640valid
1.0ms8×body1280valid
1.0ms35×body80invalid
1.0ms8×body320valid
1.0ms11×body160valid
0.0ms2×body2560valid

simplify50.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
0491213
1491213

prune12.0ms

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: 10.1b

Counts
2 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- a t))
1.8b
(* (- y x) (/ (- z t) (- a t)))
2.3b
(+ x (* (- y x) (/ (- z t) (- a t))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt
73×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
23×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 flip3-- associate-*l* associate-/r* flip-- associate-/l* add-log-exp
4×associate-/r/
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 119
Calls
3 calls:
7.0ms
(/ (- z t) (- a t))
16.0ms
(* (- y x) (/ (- z t) (- a t)))
4.0ms
(+ x (* (- y x) (/ (- z t) (- a t))))

series95.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(/ (- z t) (- a t))
32.0ms
(* (- y x) (/ (- z t) (- a t)))
53.0ms
(+ x (* (- y x) (/ (- z t) (- a t))))

simplify42.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
050681606

prune162.0ms

Filtered
87 candidates to 128 candidates (-47.1%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1199128
Fresh011
Picked101
Done000
Total12010130

Merged error: 3.5b

Counts
130 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- a t))
0.2b
(* (- z t) (/ 1 (- a t)))
1.8b
(* (- y x) (* (- z t) (/ 1 (- a t))))
4.0b
(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
44×*-un-lft-identity
32×add-exp-log times-frac
25×add-cube-cbrt
22×associate-*r*
20×frac-times add-cbrt-cube
17×flip3-- flip--
13×prod-exp
12×pow1
10×associate-*r/ associate-*l* associate-*l/
9×distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×div-exp add-log-exp
5×associate-/r*
4×pow-prod-down associate-/r/ un-div-inv
3×cbrt-undiv rec-exp 1-exp associate-/l* unswap-sqr
2×*-commutative div-inv
1×+-commutative pow-flip frac-2neg flip3-+ clear-num sum-log flip-+ inv-pow
Counts
4 → 146
Calls
4 calls:
5.0ms
(/ 1 (- a t))
13.0ms
(* (- z t) (/ 1 (- a t)))
15.0ms
(* (- y x) (* (- z t) (/ 1 (- a t))))
4.0ms
(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

series153.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ 1 (- a t))
12.0ms
(* (- z t) (/ 1 (- a t)))
50.0ms
(* (- y x) (* (- z t) (/ 1 (- a t))))
86.0ms
(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

simplify46.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
057481773

prune156.0ms

Filtered
98 candidates to 158 candidates (-61.2%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1580158
Fresh099
Picked011
Done000
Total15810168

Merged error: 3.5b

Counts
168 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z t))
0.6b
(* (cbrt (- z t)) (cbrt (- z t)))
1.8b
(* (- y x) (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t))))
7.7b
(+ x (* (- y x) (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t)))))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
86×frac-times cbrt-div
61×flip3-- flip--
40×associate-*l/
34×add-sqr-sqrt associate-*r/
33×cbrt-prod
32×*-un-lft-identity
24×add-exp-log
20×pow1
16×add-cbrt-cube
14×add-cube-cbrt
13×associate-*l*
12×prod-exp cbrt-unprod
10×swap-sqr
9×associate-*r*
8×pow-prod-down distribute-lft-out--
7×pow1/3
6×add-log-exp difference-of-squares
4×unswap-sqr
2×cbrt-undiv div-exp pow-sqr *-commutative pow-prod-up
1×+-commutative pow2 flip3-+ pow-plus sum-log flip-+
Counts
4 → 162
Calls
4 calls:
3.0ms
(cbrt (- z t))
10.0ms
(* (cbrt (- z t)) (cbrt (- z t)))
26.0ms
(* (- y x) (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t))))
4.0ms
(+ x (* (- y x) (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t)))))

series145.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (- z t))
31.0ms
(* (cbrt (- z t)) (cbrt (- z t)))
33.0ms
(* (- y x) (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t))))
56.0ms
(+ x (* (- y x) (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t)))))

simplify74.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
050033400

prune196.0ms

Filtered
110 candidates to 174 candidates (-58.2%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1731174
Fresh088
Picked011
Done011
Total17311184

Merged error: 3.5b

Counts
184 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a t))
0.5b
(cbrt (- a t))
1.8b
(* (- y x) (* (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t)))))
7.7b
(+ x (* (- y x) (* (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t))))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
65×add-exp-log
35×prod-exp
26×add-cbrt-cube
15×div-exp cbrt-unprod
13×add-sqr-sqrt *-un-lft-identity
10×cbrt-prod
9×pow1 frac-times
7×cbrt-undiv add-cube-cbrt
6×flip3-- associate-*r/ flip-- add-log-exp
5×associate-*l* associate-*l/
4×rec-exp cbrt-div 1-exp
3×pow-prod-down distribute-lft-out-- difference-of-squares
2×pow1/3
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+
Counts
4 → 90
Calls
4 calls:
3.0ms
(cbrt (- a t))
3.0ms
(cbrt (- a t))
28.0ms
(* (- y x) (* (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t)))))
5.0ms
(+ x (* (- y x) (* (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t))))))

series148.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (- a t))
25.0ms
(cbrt (- a t))
46.0ms
(* (- y x) (* (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t)))))
50.0ms
(+ x (* (- y x) (* (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t))))))

simplify36.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
054351291

prune85.0ms

Filtered
65 candidates to 102 candidates (-56.9%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1020102
Fresh088
Picked011
Done022
Total10211113

Merged error: 3.5b

Counts
113 → 11

regimes617.0ms

Accuracy

36.2% (5.1b remaining)

Error of 8.8b against oracle of 3.7b and baseline of 11.7b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
09061
19061

end0.0ms

sample754.0ms

Algorithm
intervals
Results
264.0ms6564×body80valid
71.0ms497×body640valid
47.0ms275×body1280valid
42.0ms410×body320valid
42.0ms1174×body80invalid
17.0ms239×body160valid
3.0ms15×body2560valid

Profiling

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