Details

Time bar (total: 4.8s)

analyze614.0ms

Algorithm
search

sample21.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
2.0ms57×body80invalid

simplify98.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1254
2584
3964
41314
51554
61794
73104
86434
911714
1020244
1132764
1250014

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.9b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
6.1b
(* (- y x) (/ z t))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 add-log-exp
2×frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 49
Calls
2 calls:
3.0ms
(+ x (* (- y x) (/ z t)))
9.0ms
(* (- y x) (/ z t))

series23.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(+ x (* (- y x) (/ z t)))
12.0ms
(* (- y x) (/ z t))

simplify36.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0296310
11245287
25001275

prune80.0ms

Filtered
39 candidates to 55 candidates (-41.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New49655
Fresh000
Picked011
Done000
Total49756

Merged error: 0.0b

Counts
56 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
5.9b
(* (* (* (cbrt z) (cbrt z)) (- y x)) (/ (cbrt z) t))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
22×associate-*r*
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×cbrt-prod times-frac add-cbrt-cube
13×pow1
12×prod-exp cbrt-unprod
6×pow-prod-down
5×associate-*r/
4×add-log-exp
3×cbrt-undiv pow1/3 div-exp
2×frac-times flip3-- associate-*l/ flip--
1×associate-*l* *-commutative div-inv
Counts
4 → 84
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
15.0ms
(* (* (* (cbrt z) (cbrt z)) (- y x)) (/ (cbrt z) t))

series86.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt z)
24.0ms
(cbrt z)
23.0ms
(cbrt z)
17.0ms
(* (* (* (cbrt z) (cbrt z)) (- y x)) (/ (cbrt z) t))

simplify61.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0450730
12271619
25002559

prune102.0ms

Filtered
69 candidates to 96 candidates (-39.1%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New95196
Fresh055
Picked011
Done011
Total958103

Merged error: 0.0b

Counts
103 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.7b
(* (* (* (* (cbrt z) (cbrt z)) (- y x)) (/ (cbrt (* (cbrt z) (cbrt z))) (* (cbrt t) (cbrt t)))) (/ (cbrt (cbrt z)) (cbrt t)))
3.7b
(* (* (* (cbrt z) (cbrt z)) (- y x)) (/ (cbrt (* (cbrt z) (cbrt z))) (* (cbrt t) (cbrt t))))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
144×add-exp-log
88×cbrt-prod
83×prod-exp cbrt-unprod
70×add-cbrt-cube
66×associate-*r*
58×times-frac
45×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
28×cbrt-undiv div-exp
27×pow1
16×associate-*r/ pow-prod-down
11×frac-times associate-*l/
6×flip3-- flip--
4×add-log-exp
2×pow1/3 associate-*l* *-commutative div-inv
Counts
4 → 187
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
31.0ms
(* (* (* (* (cbrt z) (cbrt z)) (- y x)) (/ (cbrt (* (cbrt z) (cbrt z))) (* (cbrt t) (cbrt t)))) (/ (cbrt (cbrt z)) (cbrt t)))
16.0ms
(* (* (* (cbrt z) (cbrt z)) (- y x)) (/ (cbrt (* (cbrt z) (cbrt z))) (* (cbrt t) (cbrt t))))

series146.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt t)
22.0ms
(cbrt t)
13.0ms
(* (* (* (* (cbrt z) (cbrt z)) (- y x)) (/ (cbrt (* (cbrt z) (cbrt z))) (* (cbrt t) (cbrt t)))) (/ (cbrt (cbrt z)) (cbrt t)))
88.0ms
(* (* (* (cbrt z) (cbrt z)) (- y x)) (/ (cbrt (* (cbrt z) (cbrt z))) (* (cbrt t) (cbrt t))))

simplify55.0ms

Algorithm
egg-herbie
Counts
199 → 199
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
012193944
150023323

prune237.0ms

Filtered
155 candidates to 199 candidates (-28.4%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1981199
Fresh055
Picked011
Done022
Total1989207

Merged error: 0b

Counts
207 → 9

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.4b
(* (* (* (* (cbrt z) (cbrt z)) (- y x)) (/ (cbrt (* (cbrt z) (cbrt z))) (* (cbrt t) (cbrt t)))) (* (cbrt (/ (cbrt (cbrt z)) (cbrt t))) (cbrt (/ (cbrt (cbrt z)) (cbrt t)))))
3.7b
(* (* (* (cbrt z) (cbrt z)) (- y x)) (/ (cbrt (* (cbrt z) (cbrt z))) (* (cbrt t) (cbrt t))))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
144×add-exp-log
93×prod-exp cbrt-unprod
70×add-cbrt-cube
45×pow1
34×associate-*r/
31×frac-times
30×pow-prod-down
24×cbrt-div
21×associate-*l/
18×cbrt-undiv div-exp
10×flip3-- flip--
9×associate-*r*
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×cbrt-prod
4×times-frac add-log-exp
2×pow1/3 associate-*l* *-commutative
1×div-inv
Counts
4 → 146
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
37.0ms
(* (* (* (* (cbrt z) (cbrt z)) (- y x)) (/ (cbrt (* (cbrt z) (cbrt z))) (* (cbrt t) (cbrt t)))) (* (cbrt (/ (cbrt (cbrt z)) (cbrt t))) (cbrt (/ (cbrt (cbrt z)) (cbrt t)))))
18.0ms
(* (* (* (cbrt z) (cbrt z)) (- y x)) (/ (cbrt (* (cbrt z) (cbrt z))) (* (cbrt t) (cbrt t))))

series229.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt t)
22.0ms
(cbrt t)
96.0ms
(* (* (* (* (cbrt z) (cbrt z)) (- y x)) (/ (cbrt (* (cbrt z) (cbrt z))) (* (cbrt t) (cbrt t)))) (* (cbrt (/ (cbrt (cbrt z)) (cbrt t))) (cbrt (/ (cbrt (cbrt z)) (cbrt t)))))
87.0ms
(* (* (* (cbrt z) (cbrt z)) (- y x)) (/ (cbrt (* (cbrt z) (cbrt z))) (* (cbrt t) (cbrt t))))

simplify134.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
010443779
146532902
250012902

prune150.0ms

Filtered
96 candidates to 158 candidates (-64.6%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New1580158
Fresh055
Picked011
Done033
Total1589167

Merged error: 0b

Counts
167 → 9

regimes510.0ms

Accuracy

21.5% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 2.2b

bsearch776.0ms

Steps
ItersRangePoint
6
1.376459980468304e-165
8.148375291284403e-165
2.484534578967792e-165
5
-6.907523683907223e-82
-2.779539338844521e-82
-4.1758493966687633e-82

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02813
12813

end0.0ms

analyze610.0ms

Algorithm
search

sample581.0ms

Algorithm
intervals
Results
268.0ms8000×body80valid
64.0ms2041×body80invalid

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