Details

Time bar (total: 4.0s)

analyze997.0ms

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
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

sample35.0ms

Algorithm
intervals
Results
13.0ms205×body80valid
3.0ms20×body640valid
2.0ms44×body80invalid
1.0ms8×body1280valid
1.0ms14×body320valid
1.0ms9×body160valid

simplify57.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
0491213
1491213

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: 12.0b

Counts
2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- a t))
2.0b
(* (- y x) (/ (- z t) (- a t)))
2.0b
(+ x (* (- y x) (/ (- z t) (- a t))))

rewrite35.0ms

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))
18.0ms
(* (- y x) (/ (- z t) (- a t)))
4.0ms
(+ x (* (- y x) (/ (- z t) (- a t))))

series100.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(/ (- z t) (- a t))
33.0ms
(* (- y x) (/ (- z t) (- a t)))
56.0ms
(+ x (* (- y x) (/ (- z t) (- a t))))

simplify42.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
050681606

prune171.0ms

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

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New11612128
Fresh101
Picked101
Done000
Total11812130

Merged error: 4.3b

Counts
130 → 12

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- a t))
0.2b
(* (- z t) (/ 1 (- a t)))
2.0b
(* (- y x) (* (- z t) (/ 1 (- a t))))
3.9b
(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

rewrite46.0ms

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:
7.0ms
(/ 1 (- a t))
14.0ms
(* (- z t) (/ 1 (- a t)))
15.0ms
(* (- y x) (* (- z t) (/ 1 (- a t))))
5.0ms
(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

series99.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(/ 1 (- a t))
9.0ms
(* (- z t) (/ 1 (- a t)))
35.0ms
(* (- y x) (* (- z t) (/ 1 (- a t))))
51.0ms
(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

simplify44.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
057481773

prune164.0ms

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

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1580158
Fresh01111
Picked011
Done000
Total15812170

Merged error: 4.3b

Counts
170 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z t))
0.5b
(cbrt (- z t))
2.0b
(* (- y x) (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (- a t) (cbrt (- z t)))))
9.3b
(+ x (* (- y x) (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (- a t) (cbrt (- z t))))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
91×times-frac
69×add-sqr-sqrt
59×*-un-lft-identity
51×associate-*r*
36×cbrt-prod
27×add-cube-cbrt
22×add-exp-log
16×add-cbrt-cube distribute-lft-out-- difference-of-squares
7×prod-exp cbrt-unprod
6×pow1 cbrt-undiv cbrt-div div-exp add-log-exp
5×flip3-- associate-*l* flip--
4×unswap-sqr
3×associate-/r/
2×frac-times pow1/3 associate-*l/ div-inv
1×+-commutative flip3-+ associate-*r/ pow-prod-down sum-log *-commutative flip-+
Counts
4 → 125
Calls
4 calls:
3.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))
34.0ms
(* (- y x) (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (- a t) (cbrt (- z t)))))
4.0ms
(+ x (* (- y x) (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (- a t) (cbrt (- z t))))))

series140.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (- z t))
26.0ms
(cbrt (- z t))
36.0ms
(* (- y x) (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (- a t) (cbrt (- z t)))))
51.0ms
(+ x (* (- y x) (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (- a t) (cbrt (- z t))))))

simplify49.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
049821987
149821987

prune156.0ms

Filtered
100 candidates to 137 candidates (-37.0%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1361137
Fresh01010
Picked011
Done011
Total13613149

Merged error: 4.3b

Counts
149 → 13

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z t))
0.5b
(cbrt (- z t))
2.0b
(* (- y x) (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t))))
9.1b
(+ x (* (- y x) (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t)))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
82×frac-times
76×cbrt-div
56×flip3-- flip--
38×associate-*l/
32×associate-*r/
22×add-exp-log
16×add-cbrt-cube
13×pow1 add-sqr-sqrt *-un-lft-identity
11×prod-exp cbrt-unprod
10×cbrt-prod
7×add-cube-cbrt
6×pow-prod-down add-log-exp
5×associate-*l*
3×distribute-lft-out-- difference-of-squares
2×cbrt-undiv pow1/3 div-exp
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+
Counts
4 → 121
Calls
4 calls:
3.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))
27.0ms
(* (- 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)))))

series147.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (- z t))
27.0ms
(cbrt (- z t))
32.0ms
(* (- y x) (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t))))
61.0ms
(+ x (* (- y x) (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t)))))

simplify50.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
050062960

prune126.0ms

Filtered
92 candidates to 133 candidates (-44.6%)
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New1330133
Fresh01010
Picked011
Done022
Total13313146

Merged error: 4.3b

Counts
146 → 13

regimes549.0ms

Accuracy

26% (6.1b remaining)

Error of 9.7b against oracle of 3.6b and baseline of 11.8b

bsearch53.0ms

Steps
ItersRangePoint
10
1.424609694559609e+134
8.407544445548476e+148
1.1089989809754338e+144
9
-4.8994702858444856e+207
-1.0779996039153324e+201
-2.3400231114650486e+202

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08537
18537

end0.0ms

sample777.0ms

Algorithm
intervals
Results
253.0ms6536×body80valid
70.0ms500×body640valid
46.0ms1189×body80invalid
45.0ms248×body1280valid
45.0ms440×body320valid
19.0ms267×body160valid
2.0ms9×body2560valid

Profiling

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