Details

Time bar (total: 4.9s)

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
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

sample67.0ms

Algorithm
intervals
Results
7.0ms215×body80valid
3.0ms21×body640valid
1.0ms8×body320valid
1.0ms9×body160valid
0.0ms2×body1280valid
0.0ms1×body2560valid

simplify99.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (97.0ms)

IterNodesCost
0489313
1489313

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: 7.3b

Counts
2 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (+ y (* y (/ (- z t) (- t a)))))
0.0b
(/ (- z t) (- t a))
2.0b
(* y (/ (- z t) (- t a)))
13.1b
(+ y (* y (/ (- z t) (- t a))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
77×add-sqr-sqrt
74×*-un-lft-identity
51×times-frac
31×associate-*r*
28×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
11×add-exp-log add-cbrt-cube add-log-exp
6×pow1
5×associate-/r* associate-/l*
4×sum-log associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv +-commutative flip3-+ div-exp prod-exp cbrt-unprod flip-+ div-inv associate-/l/ unswap-sqr
1×associate-+r+ frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative distribute-lft-out
Counts
4 → 127
Calls
4 calls:
5.0ms
(+ x (+ y (* y (/ (- z t) (- t a)))))
8.0ms
(/ (- z t) (- t a))
14.0ms
(* y (/ (- z t) (- t a)))
3.0ms
(+ y (* y (/ (- z t) (- t a))))

series85.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(+ x (+ y (* y (/ (- z t) (- t a)))))
9.0ms
(/ (- z t) (- t a))
16.0ms
(* y (/ (- z t) (- t a)))
25.0ms
(+ y (* y (/ (- z t) (- t a))))

simplify51.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
050721615

prune194.0ms

Filtered
96 candidates to 139 candidates (-44.8%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New12811139
Fresh101
Picked101
Done000
Total13011141

Merged error: 3.7b

Counts
141 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

7.3b
(cbrt (* y (/ (- z t) (- t a))))
7.3b
(cbrt (* y (/ (- z t) (- t a))))
7.3b
(cbrt (* y (/ (- z t) (- t a))))
13.1b
(+ y (* (* (cbrt (* y (/ (- z t) (- t a)))) (cbrt (* y (/ (- z t) (- t a))))) (cbrt (* y (/ (- z t) (- t a))))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
6×add-log-exp
4×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube
3×cbrt-prod cbrt-div pow1/3 associate-*r/
1×+-commutative flip3-+ sum-log flip-+
Counts
4 → 41
Calls
4 calls:
9.0ms
(cbrt (* y (/ (- z t) (- t a))))
10.0ms
(cbrt (* y (/ (- z t) (- t a))))
8.0ms
(cbrt (* y (/ (- z t) (- t a))))
4.0ms
(+ y (* (* (cbrt (* y (/ (- z t) (- t a)))) (cbrt (* y (/ (- z t) (- t a))))) (cbrt (* y (/ (- z t) (- t a))))))

series194.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(cbrt (* y (/ (- z t) (- t a))))
54.0ms
(cbrt (* y (/ (- z t) (- t a))))
55.0ms
(cbrt (* y (/ (- z t) (- t a))))
30.0ms
(+ y (* (* (cbrt (* y (/ (- z t) (- t a)))) (cbrt (* y (/ (- z t) (- t a))))) (cbrt (* y (/ (- z t) (- t a))))))

simplify43.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05324596

prune114.0ms

Filtered
48 candidates to 53 candidates (-10.4%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New52153
Fresh01010
Picked011
Done000
Total521264

Merged error: 3.7b

Counts
64 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
2.0b
(* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- t a))))
13.1b
(+ y (* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- t a)))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-div
22×add-exp-log associate-*r/
16×frac-times add-cbrt-cube
14×flip3-- flip--
13×pow1
12×associate-*l/
11×add-sqr-sqrt *-un-lft-identity prod-exp cbrt-unprod
10×cbrt-prod
7×add-cube-cbrt
6×pow-prod-down add-log-exp
3×associate-*l*
2×cbrt-undiv pow1/3 div-exp distribute-lft-out-- difference-of-squares
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+
Counts
4 → 83
Calls
4 calls:
3.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))
23.0ms
(* 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)))))

series97.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(cbrt (- z t))
27.0ms
(cbrt (- z t))
16.0ms
(* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- t a))))
25.0ms
(+ y (* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- t a)))))

simplify55.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
049421130
149421130

prune151.0ms

Filtered
66 candidates to 95 candidates (-43.9%)
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New92395
Fresh1910
Picked011
Done011
Total9314107

Merged error: 3.7b

Counts
107 → 14

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- t a))
0.5b
(cbrt (- t a))
7.9b
(* (/ y (* (cbrt (- t a)) (cbrt (- t a)))) (/ (- z t) (cbrt (- t a))))
13.1b
(+ y (* (/ y (* (cbrt (- t a)) (cbrt (- t a)))) (/ (- z t) (cbrt (- t a)))))

rewrite50.0ms

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))
34.0ms
(* (/ 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)))))

series107.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (- t a))
26.0ms
(cbrt (- t a))
22.0ms
(* (/ y (* (cbrt (- t a)) (cbrt (- t a)))) (/ (- z t) (cbrt (- t a))))
32.0ms
(+ y (* (/ y (* (cbrt (- t a)) (cbrt (- t a)))) (/ (- z t) (cbrt (- t a)))))

simplify65.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
049762254
149762254

prune164.0ms

Filtered
107 candidates to 144 candidates (-34.6%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1422144
Fresh2911
Picked101
Done112
Total14612158

Merged error: 3.7b

Counts
158 → 12

regimes612.0ms

Accuracy

28.8% (5.6b remaining)

Error of 8.8b against oracle of 3.2b and baseline of 11.1b

bsearch61.0ms

Steps
ItersRangePoint
8
1.8188386762962337e-51
1.0077546886452947e-48
1.842621632146583e-51
7
-3.1636746253590895e-140
-1.3211694394127536e-141
-2.4513215004018157e-141

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
057112
157112

end0.0ms

sample1.5s

Algorithm
intervals
Results
224.0ms6625×body80valid
62.0ms460×body640valid
41.0ms241×body1280valid
40.0ms400×body320valid
17.0ms255×body160valid
4.0ms19×body2560valid

Profiling

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