Details

Time bar (total: 4.5s)

analyze1.1s

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

sample28.0ms

Algorithm
intervals
Results
8.0ms218×body80valid
2.0ms15×body640valid
1.0ms38×body80invalid
1.0ms8×body1280valid
1.0ms10×body320valid
0.0ms5×body160valid

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
0491213
1491213

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: 9.2b

Counts
2 → 2

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- a t))
1.5b
(* (- y x) (/ (- z t) (- a t)))
1.9b
(+ 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))))

series92.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(/ (- z t) (- a t))
31.0ms
(* (- y x) (/ (- z t) (- a t)))
52.0ms
(+ x (* (- y x) (/ (- z t) (- a t))))

simplify40.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
050681606

prune173.0ms

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

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New11612128
Fresh011
Picked011
Done000
Total11614130

Merged error: 3.3b

Counts
130 → 14

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a t))
0.5b
(cbrt (- a t))
1.5b
(* (- y x) (/ (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t))))
6.6b
(+ x (* (- y x) (/ (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t)))))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
182×times-frac
142×associate-*r*
128×add-sqr-sqrt
114×*-un-lft-identity
102×cbrt-div
97×cbrt-prod
66×associate-/r/
58×add-cube-cbrt
53×flip3-- flip--
34×frac-times
28×distribute-lft-out-- difference-of-squares
18×add-exp-log associate-*l/
17×associate-*r/
13×add-cbrt-cube
9×div-inv
6×pow1 add-log-exp
5×cbrt-undiv div-exp associate-*l* prod-exp cbrt-unprod unswap-sqr
2×pow1/3
1×+-commutative flip3-+ pow-prod-down sum-log *-commutative flip-+
Counts
4 → 215
Calls
4 calls:
3.0ms
(cbrt (- a t))
3.0ms
(cbrt (- a t))
51.0ms
(* (- y x) (/ (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t))))
4.0ms
(+ x (* (- y x) (/ (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t)))))

series138.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(cbrt (- a t))
25.0ms
(cbrt (- a t))
32.0ms
(* (- y x) (/ (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t))))
54.0ms
(+ x (* (- y x) (/ (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t)))))

simplify54.0ms

Algorithm
egg-herbie
Counts
227 → 227
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
061084540

prune263.0ms

Filtered
165 candidates to 227 candidates (-37.6%)
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New2261227
Fresh11112
Picked011
Done011
Total22714241

Merged error: 3.3b

Counts
241 → 14

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y x))
0.8b
(* (/ (- z t) (- a t)) (cbrt (- y x)))
1.0b
(* (* (cbrt (- y x)) (cbrt (- y x))) (* (/ (- z t) (- a t)) (cbrt (- y x))))
6.8b
(+ x (* (* (cbrt (- y x)) (cbrt (- y x))) (* (/ (- z t) (- a t)) (cbrt (- y x)))))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
114×cbrt-div
84×frac-times
58×flip3-- flip--
52×add-sqr-sqrt
42×*-un-lft-identity
37×associate-*r/
32×associate-*l*
30×add-exp-log associate-*l/
27×times-frac
18×pow1 add-cube-cbrt add-cbrt-cube
15×prod-exp cbrt-unprod
12×cbrt-prod distribute-lft-out-- difference-of-squares
9×associate-*r* pow-prod-down
6×add-log-exp
4×unswap-sqr
3×cbrt-undiv div-exp
2×associate-/r/ *-commutative
1×+-commutative flip3-+ pow1/3 sum-log flip-+ div-inv
Counts
4 → 166
Calls
4 calls:
3.0ms
(cbrt (- y x))
17.0ms
(* (/ (- z t) (- a t)) (cbrt (- y x)))
23.0ms
(* (* (cbrt (- y x)) (cbrt (- y x))) (* (/ (- z t) (- a t)) (cbrt (- y x))))
4.0ms
(+ x (* (* (cbrt (- y x)) (cbrt (- y x))) (* (/ (- z t) (- a t)) (cbrt (- y x)))))

series154.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (- y x))
43.0ms
(* (/ (- z t) (- a t)) (cbrt (- y x)))
35.0ms
(* (* (cbrt (- y x)) (cbrt (- y x))) (* (/ (- z t) (- a t)) (cbrt (- y x))))
50.0ms
(+ x (* (* (cbrt (- y x)) (cbrt (- y x))) (* (/ (- z t) (- a t)) (cbrt (- y x)))))

simplify48.0ms

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
050283757

prune219.0ms

Filtered
108 candidates to 178 candidates (-64.8%)
Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New1762178
Fresh01111
Picked101
Done022
Total17715192

Merged error: 3.3b

Counts
192 → 15

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
1.5b
(* (- y x) (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t))))
5.4b
(+ 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)))))

series162.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(cbrt (- z t))
40.0ms
(cbrt (- z t))
32.0ms
(* (- y x) (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t))))
54.0ms
(+ x (* (- y x) (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t)))))

simplify51.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
050062960

prune129.0ms

Filtered
89 candidates to 133 candidates (-49.4%)
Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New1330133
Fresh01212
Picked011
Done022
Total13315148

Merged error: 3.3b

Counts
148 → 15

regimes746.0ms

Accuracy

26.2% (6.0b remaining)

Error of 9.7b against oracle of 3.7b and baseline of 11.8b

bsearch42.0ms

Steps
ItersRangePoint
7
7.539008139259108e+161
5.340438701669289e+163
2.908034067975434e+163
8
-3.709281723279013e+192
-2.1028969772158077e+189
-3.9871011799561977e+189

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08235
18235

end0.0ms

sample774.0ms

Algorithm
intervals
Results
246.0ms6532×body80valid
69.0ms493×body640valid
49.0ms421×body320valid
49.0ms1184×body80invalid
45.0ms270×body1280valid
18.0ms261×body160valid
5.0ms23×body2560valid

Profiling

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