Details

Time bar (total: 5.9s)

analyze1.2s

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

sample31.0ms

Algorithm
intervals
Results
9.0ms215×body80valid
2.0ms45×body80invalid
1.0ms10×body640valid
1.0ms8×body1280valid
1.0ms12×body320valid
1.0ms11×body160valid

simplify35.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
0500213

prune14.0ms

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: 9.6b

Counts
2 → 2

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- a t))
1.4b
(* (- y x) (/ (- z t) (- a t)))
3.5b
(+ 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:
8.0ms
(/ (- z t) (- a t))
16.0ms
(* (- y x) (/ (- z t) (- a t)))
4.0ms
(+ x (* (- y x) (/ (- z t) (- a t))))

series89.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(/ (- z t) (- a t))
30.0ms
(* (- y x) (/ (- z t) (- a t)))
50.0ms
(+ x (* (- y x) (/ (- z t) (- a t))))

simplify47.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
064951596

prune202.0ms

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

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New11612128
Fresh011
Picked101
Done000
Total11713130

Merged error: 2.3b

Counts
130 → 13

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- a t))
0.2b
(* (- z t) (/ 1 (- a t)))
1.4b
(* (- y x) (* (- z t) (/ 1 (- a t))))
4.2b
(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

rewrite44.0ms

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))
15.0ms
(* (- z t) (/ 1 (- a t)))
14.0ms
(* (- y x) (* (- z t) (/ 1 (- a t))))
5.0ms
(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

series92.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(/ 1 (- a t))
9.0ms
(* (- z t) (/ 1 (- a t)))
32.0ms
(* (- y x) (* (- z t) (/ 1 (- a t))))
47.0ms
(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

simplify48.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
049761766
149761766

prune201.0ms

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

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1580158
Fresh01212
Picked011
Done000
Total15813171

Merged error: 2.3b

Counts
171 → 13

localize13.0ms

Local error

Found 4 expressions with local error:

2.1b
(cbrt (/ (- z t) (- a t)))
2.1b
(cbrt (/ (- z t) (- a t)))
2.1b
(cbrt (/ (- z t) (- a t)))
3.5b
(+ x (* (* (- y x) (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))) (cbrt (/ (- z t) (- a t)))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
97×add-sqr-sqrt *-un-lft-identity
93×cbrt-prod
75×times-frac
37×add-cube-cbrt
30×distribute-lft-out-- difference-of-squares
6×associate-/r/ add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×cbrt-div flip3-- pow1/3 flip-- div-inv
1×+-commutative flip3-+ sum-log flip-+
Counts
4 → 131
Calls
4 calls:
7.0ms
(cbrt (/ (- z t) (- a t)))
7.0ms
(cbrt (/ (- z t) (- a t)))
7.0ms
(cbrt (/ (- z t) (- a t)))
3.0ms
(+ x (* (* (- y x) (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))) (cbrt (/ (- z t) (- a t)))))

series223.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(cbrt (/ (- z t) (- a t)))
56.0ms
(cbrt (/ (- z t) (- a t)))
57.0ms
(cbrt (/ (- z t) (- a t)))
51.0ms
(+ x (* (* (- y x) (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))) (cbrt (/ (- z t) (- a t)))))

simplify59.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
051622367

prune220.0ms

Filtered
105 candidates to 143 candidates (-36.2%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1430143
Fresh01111
Picked011
Done011
Total14313156

Merged error: 2.3b

Counts
156 → 13

localize15.0ms

Local error

Found 4 expressions with local error:

2.5b
(cbrt (* (- y x) (/ (- z t) (- a t))))
2.5b
(cbrt (* (- y x) (/ (- z t) (- a t))))
2.5b
(cbrt (* (- y x) (/ (- z t) (- a t))))
6.9b
(+ x (* (* (cbrt (* (- y x) (/ (- z t) (- a t)))) (cbrt (* (- y x) (/ (- z t) (- a t))))) (cbrt (* (- y x) (/ (- z t) (- a t))))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-div
6×frac-times flip3-- associate-*l/ flip-- add-log-exp
4×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube
3×cbrt-prod pow1/3 associate-*r/
1×+-commutative flip3-+ sum-log flip-+
Counts
4 → 53
Calls
4 calls:
10.0ms
(cbrt (* (- y x) (/ (- z t) (- a t))))
11.0ms
(cbrt (* (- y x) (/ (- z t) (- a t))))
10.0ms
(cbrt (* (- y x) (/ (- z t) (- a t))))
3.0ms
(+ x (* (* (cbrt (* (- y x) (/ (- z t) (- a t)))) (cbrt (* (- y x) (/ (- z t) (- a t))))) (cbrt (* (- y x) (/ (- z t) (- a t))))))

series1.5s

Counts
4 → 12
Calls
4 calls:
485.0ms
(cbrt (* (- y x) (/ (- z t) (- a t))))
477.0ms
(cbrt (* (- y x) (/ (- z t) (- a t))))
481.0ms
(cbrt (* (- y x) (/ (- z t) (- a t))))
51.0ms
(+ x (* (* (cbrt (* (- y x) (/ (- z t) (- a t)))) (cbrt (* (- y x) (/ (- z t) (- a t))))) (cbrt (* (- y x) (/ (- z t) (- a t))))))

simplify48.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
04965956
14965956

prune84.0ms

Filtered
57 candidates to 65 candidates (-14.0%)
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New65065
Fresh01010
Picked011
Done022
Total651378

Merged error: 2.3b

Counts
78 → 13

regimes734.0ms

Accuracy

28.7% (5.9b remaining)

Error of 9.5b against oracle of 3.6b and baseline of 11.9b

bsearch42.0ms

Steps
ItersRangePoint
6
8.43810482640735e-69
6.185631181392888e-68
8.541256835902753e-69
7
-4.0149313685885235e-129
-4.3476514086235424e-131
-5.731990274511946e-130

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
012133
112133

end0.0ms

sample846.0ms

Algorithm
intervals
Results
268.0ms6538×body80valid
69.0ms454×body640valid
58.0ms1242×body80invalid
56.0ms276×body1280valid
50.0ms429×body320valid
22.0ms290×body160valid
3.0ms13×body2560valid

Profiling

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