Details

Time bar (total: 5.5s)

analyze964.0ms

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

sample34.0ms

Algorithm
intervals
Results
13.0ms209×body80valid
2.0ms12×body1280valid
1.0ms9×body640valid
1.0ms11×body320valid
1.0ms27×body80invalid
1.0ms11×body160valid
1.0ms4×body2560valid

simplify58.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
0498413
1498413

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: 7.4b

Counts
2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t z) (- a t))
2.9b
(+ y (* y (/ (- t z) (- a t))))
3.0b
(* y (/ (- t z) (- a t)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
71×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 associate-/r* associate-/l* add-log-exp
4×associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp 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 → 113
Calls
3 calls:
8.0ms
(/ (- t z) (- a t))
3.0ms
(+ y (* y (/ (- t z) (- a t))))
13.0ms
(* y (/ (- t z) (- a t)))

series52.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(/ (- t z) (- a t))
23.0ms
(+ y (* y (/ (- t z) (- a t))))
19.0ms
(* y (/ (- t z) (- a t)))

simplify48.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
051121356

prune153.0ms

Filtered
83 candidates to 122 candidates (-47.0%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1157122
Fresh011
Picked101
Done000
Total1168124

Merged error: 3.8b

Counts
124 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- a t))
0.2b
(* (- t z) (/ 1 (- a t)))
3.0b
(* y (* (- t z) (/ 1 (- a t))))
4.8b
(+ y (* y (* (- t z) (/ 1 (- a t)))))

rewrite40.0ms

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
13×prod-exp
12×pow1
8×associate-*r/ associate-*l* distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×flip3-- div-exp flip-- add-log-exp
5×associate-/r*
4×frac-times pow-prod-down associate-*l/ associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* unswap-sqr
2×un-div-inv *-commutative div-inv
1×+-commutative pow-flip frac-2neg flip3-+ clear-num sum-log flip-+ inv-pow
Counts
4 → 130
Calls
4 calls:
5.0ms
(/ 1 (- a t))
13.0ms
(* (- t z) (/ 1 (- a t)))
12.0ms
(* y (* (- t z) (/ 1 (- a t))))
3.0ms
(+ y (* y (* (- t z) (/ 1 (- a t)))))

series54.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ 1 (- a t))
9.0ms
(* (- t z) (/ 1 (- a t)))
16.0ms
(* y (* (- t z) (/ 1 (- a t))))
24.0ms
(+ y (* y (* (- t z) (/ 1 (- a t)))))

simplify46.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
050111274

prune148.0ms

Filtered
87 candidates to 142 candidates (-63.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1411142
Fresh077
Picked011
Done000
Total1419150

Merged error: 3.8b

Counts
150 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a t))
0.5b
(* (cbrt (- a t)) (cbrt (- a t)))
3.0b
(* y (/ (/ (- t z) (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t))))
14.6b
(+ y (* y (/ (/ (- t z) (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t)))))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
182×times-frac
150×associate-*r*
147×add-sqr-sqrt
131×*-un-lft-identity
120×cbrt-prod
112×cbrt-div
66×associate-/r/
65×add-cube-cbrt
56×flip3-- flip--
36×frac-times
32×distribute-lft-out--
30×difference-of-squares
20×add-exp-log
19×associate-*r/
18×associate-*l/
13×pow1 add-cbrt-cube
11×associate-*l*
10×swap-sqr
9×div-inv unswap-sqr
7×pow1/3
6×prod-exp cbrt-unprod add-log-exp
5×cbrt-undiv div-exp
3×pow-prod-down
2×pow-sqr *-commutative pow-prod-up
1×+-commutative pow2 flip3-+ pow-plus sum-log flip-+
Counts
4 → 250
Calls
4 calls:
3.0ms
(cbrt (- a t))
10.0ms
(* (cbrt (- a t)) (cbrt (- a t)))
46.0ms
(* y (/ (/ (- t z) (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t))))
3.0ms
(+ y (* y (/ (/ (- t z) (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t)))))

series103.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (- a t))
31.0ms
(* (cbrt (- a t)) (cbrt (- a t)))
22.0ms
(* y (/ (/ (- t z) (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t))))
24.0ms
(+ y (* y (/ (/ (- t z) (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t)))))

simplify56.0ms

Algorithm
egg-herbie
Counts
262 → 262
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
051534391

prune333.0ms

Filtered
185 candidates to 262 candidates (-41.6%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New2611262
Fresh077
Picked011
Done011
Total26110271

Merged error: 3.8b

Counts
271 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a t))
0.5b
(cbrt (- a t))
3.7b
(* (/ y (cbrt (- a t))) (/ (/ (- t z) (cbrt (- a t))) (cbrt (- a t))))
16.2b
(+ y (* (/ y (cbrt (- a t))) (/ (/ (- t z) (cbrt (- a t))) (cbrt (- a t)))))

rewrite259.0ms

Algorithm
rewrite-expression-head
Rules
756×times-frac
662×add-sqr-sqrt
576×*-un-lft-identity
477×cbrt-prod
374×associate-*r*
266×add-cube-cbrt
155×distribute-lft-out-- difference-of-squares
30×associate-*l*
25×add-exp-log
24×cbrt-div
21×unswap-sqr
20×associate-/r/
16×add-cbrt-cube
12×flip3-- flip--
10×div-inv
9×cbrt-undiv div-exp
6×pow1 prod-exp cbrt-unprod add-log-exp
2×pow1/3
1×+-commutative frac-times flip3-+ associate-*r/ pow-prod-down associate-*l/ sum-log *-commutative flip-+
Counts
4 → 490
Calls
4 calls:
3.0ms
(cbrt (- a t))
3.0ms
(cbrt (- a t))
196.0ms
(* (/ y (cbrt (- a t))) (/ (/ (- t z) (cbrt (- a t))) (cbrt (- a t))))
3.0ms
(+ y (* (/ y (cbrt (- a t))) (/ (/ (- t z) (cbrt (- a t))) (cbrt (- a t)))))

series117.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(cbrt (- a t))
26.0ms
(cbrt (- a t))
34.0ms
(* (/ y (cbrt (- a t))) (/ (/ (- t z) (cbrt (- a t))) (cbrt (- a t))))
30.0ms
(+ y (* (/ y (cbrt (- a t))) (/ (/ (- t z) (cbrt (- a t))) (cbrt (- a t)))))

simplify94.0ms

Algorithm
egg-herbie
Counts
502 → 502
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
0500011030

prune415.0ms

Filtered
334 candidates to 502 candidates (-50.3%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New5020502
Fresh077
Picked011
Done022
Total50210512

Merged error: 3.8b

Counts
512 → 10

regimes609.0ms

Accuracy

12.5% (4.1b remaining)

Error of 7.9b against oracle of 3.8b and baseline of 8.5b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04678
14678

end0.0ms

analyze976.0ms

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

sample766.0ms

Algorithm
intervals
Results
264.0ms6570×body80valid
74.0ms465×body640valid
54.0ms278×body1280valid
42.0ms392×body320valid
29.0ms757×body80invalid
24.0ms280×body160valid
3.0ms15×body2560valid

Profiling

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