Details

Time bar (total: 4.1s)

analyze981.0ms

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
9.0ms223×body80valid
2.0ms13×body640valid
1.0ms7×body1280valid
1.0ms21×body80invalid
1.0ms7×body320valid
0.0ms5×body160valid
0.0ms1×body2560valid

simplify98.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (96.0ms)

IterNodesCost
0489313
1489313

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: 5.0b

Counts
2 → 2

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- t a))
1.8b
(* y (/ (- z t) (- t a)))
2.7b
(+ y (* y (/ (- z t) (- t a))))

rewrite31.0ms

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:
9.0ms
(/ (- z t) (- t a))
13.0ms
(* y (/ (- z t) (- t a)))
3.0ms
(+ y (* y (/ (- z t) (- t a))))

series55.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(/ (- z t) (- t a))
17.0ms
(* y (/ (- z t) (- t a)))
24.0ms
(+ y (* y (/ (- z t) (- t a))))

simplify44.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
050251354

prune168.0ms

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

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1139122
Fresh011
Picked101
Done000
Total11410124

Merged error: 1.8b

Counts
124 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

2.7b
(+ y (* (* y (* (cbrt (/ (- z t) (- t a))) (cbrt (/ (- z t) (- t a))))) (cbrt (/ (- z t) (- t a)))))
4.3b
(cbrt (/ (- z t) (- t a)))
4.3b
(cbrt (/ (- z t) (- t a)))
4.3b
(cbrt (/ (- z t) (- t a)))

rewrite31.0ms

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:
4.0ms
(+ y (* (* y (* (cbrt (/ (- z t) (- t a))) (cbrt (/ (- z t) (- t a))))) (cbrt (/ (- z t) (- t a)))))
7.0ms
(cbrt (/ (- z t) (- t a)))
7.0ms
(cbrt (/ (- z t) (- t a)))
7.0ms
(cbrt (/ (- z t) (- t a)))

series218.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(+ y (* (* y (* (cbrt (/ (- z t) (- t a))) (cbrt (/ (- z t) (- t a))))) (cbrt (/ (- z t) (- t a)))))
62.0ms
(cbrt (/ (- z t) (- t a)))
64.0ms
(cbrt (/ (- z t) (- t a)))
65.0ms
(cbrt (/ (- z t) (- t a)))

simplify46.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
056022256

prune176.0ms

Filtered
107 candidates to 143 candidates (-33.6%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1430143
Fresh099
Picked011
Done000
Total14310153

Merged error: 1.8b

Counts
153 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- t a))
0.5b
(cbrt (- t a))
8.5b
(* (/ y (* (cbrt (- t a)) (cbrt (- t a)))) (/ (- z t) (cbrt (- t a))))
12.9b
(+ y (* (/ y (* (cbrt (- t a)) (cbrt (- t a)))) (/ (- z t) (cbrt (- t a)))))

rewrite52.0ms

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 (- t a))
3.0ms
(cbrt (- t a))
32.0ms
(* (/ y (* (cbrt (- t a)) (cbrt (- t a)))) (/ (- z t) (cbrt (- t a))))
4.0ms
(+ y (* (/ y (* (cbrt (- t a)) (cbrt (- t a)))) (/ (- z t) (cbrt (- t a)))))

series113.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(cbrt (- t a))
30.0ms
(cbrt (- t a))
23.0ms
(* (/ y (* (cbrt (- t a)) (cbrt (- t a)))) (/ (- z t) (cbrt (- t a))))
31.0ms
(+ y (* (/ y (* (cbrt (- t a)) (cbrt (- t a)))) (/ (- z t) (cbrt (- t a)))))

simplify51.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
049762254
149762254

prune166.0ms

Filtered
108 candidates to 144 candidates (-33.3%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1440144
Fresh088
Picked011
Done011
Total14410154

Merged error: 1.8b

Counts
154 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
7.1b
(* (* y (* (cbrt (- z t)) (cbrt (- z t)))) (/ (cbrt (- z t)) (- t a)))
14.8b
(+ y (* (* y (* (cbrt (- z t)) (cbrt (- z t)))) (/ (cbrt (- z t)) (- t a))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt *-un-lft-identity
46×associate-*r*
40×times-frac
35×cbrt-prod
28×cbrt-div
25×add-exp-log add-cube-cbrt
21×associate-*r/
18×add-cbrt-cube
16×frac-times
15×flip3-- flip-- distribute-lft-out-- difference-of-squares
13×pow1
12×associate-*l/ prod-exp cbrt-unprod
6×pow-prod-down add-log-exp
3×cbrt-undiv div-exp
2×pow1/3 associate-/r/
1×+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+ div-inv
Counts
4 → 128
Calls
4 calls:
3.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))
25.0ms
(* (* y (* (cbrt (- z t)) (cbrt (- z t)))) (/ (cbrt (- z t)) (- t a)))
4.0ms
(+ y (* (* y (* (cbrt (- z t)) (cbrt (- z t)))) (/ (cbrt (- z t)) (- t a))))

series101.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(cbrt (- z t))
28.0ms
(cbrt (- z t))
17.0ms
(* (* y (* (cbrt (- z t)) (cbrt (- z t)))) (/ (cbrt (- z t)) (- t a)))
24.0ms
(+ y (* (* y (* (cbrt (- z t)) (cbrt (- z t)))) (/ (cbrt (- z t)) (- t a))))

simplify50.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
049642189
149642189

prune125.0ms

Filtered
96 candidates to 140 candidates (-45.8%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1391140
Fresh077
Picked011
Done022
Total13911150

Merged error: 1.8b

Counts
150 → 11

regimes631.0ms

Accuracy

19.4% (3.4b remaining)

Error of 6.7b against oracle of 3.3b and baseline of 7.5b

bsearch56.0ms

Steps
ItersRangePoint
8
8.444130313753608e-192
4.338587582151859e-187
1.6371256454722758e-188
10
-1.866723966948882e-144
-2.5254977054892778e-154
-1.868450818411867e-148

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05048
15048

end0.0ms

sample776.0ms

Algorithm
intervals
Results
279.0ms6643×body80valid
81.0ms491×body640valid
46.0ms383×body320valid
45.0ms241×body1280valid
33.0ms716×body80invalid
17.0ms224×body160valid
4.0ms18×body2560valid

Profiling

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