Details

Time bar (total: 2.9s)

sample27.0ms

Algorithm
intervals
Results
9.0ms320×body80valid

simplify21.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
05819
15819

prune11.0ms

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: 0.1b

Counts
2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z x) t)
7.5b
(* y (/ (- z x) t))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 76
Calls
2 calls:
5.0ms
(/ (- z x) t)
14.0ms
(* y (/ (- z x) t))

series17.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ (- z x) t)
11.0ms
(* y (/ (- z x) t))

simplify54.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
05794708

prune94.0ms

Filtered
55 candidates to 82 candidates (-49.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New76682
Fresh011
Picked011
Done000
Total76884

Merged error: 0.0b

Counts
84 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.5b
(cbrt t)
0.5b
(cbrt t)
7.4b
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
19.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series84.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt t)
21.0ms
(cbrt t)
24.0ms
(cbrt t)
17.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

simplify72.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
049531100
149531100

prune122.0ms

Filtered
75 candidates to 116 candidates (-54.7%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1151116
Fresh066
Picked011
Done011
Total1159124

Merged error: 0.0b

Counts
124 → 9

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (pow (cbrt t) 2))
0.6b
(cbrt (cbrt t))
0.7b
(* (* (/ y (pow (cbrt t) 2)) (* (cbrt (- z x)) (/ (cbrt (- z x)) (cbrt (pow (cbrt t) 2))))) (/ (cbrt (- z x)) (cbrt (cbrt t))))
4.7b
(* (/ y (pow (cbrt t) 2)) (* (cbrt (- z x)) (/ (cbrt (- z x)) (cbrt (pow (cbrt t) 2)))))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
171×add-exp-log
149×cbrt-prod
105×times-frac
91×add-sqr-sqrt *-un-lft-identity
86×prod-exp
77×associate-*r*
73×add-cube-cbrt
52×div-exp add-cbrt-cube
44×cbrt-unprod
38×frac-times associate-*l*
26×associate-*l/
24×unpow-prod-down cbrt-div
22×cbrt-undiv associate-*r/
18×pow1
12×flip3-- flip--
9×pow-to-exp pow-prod-down pow-exp distribute-lft-out-- difference-of-squares
4×unpow2 add-log-exp sqr-pow
2×pow1/3 *-commutative div-inv
Counts
4 → 261
Calls
4 calls:
3.0ms
(cbrt (pow (cbrt t) 2))
2.0ms
(cbrt (cbrt t))
50.0ms
(* (* (/ y (pow (cbrt t) 2)) (* (cbrt (- z x)) (/ (cbrt (- z x)) (cbrt (pow (cbrt t) 2))))) (/ (cbrt (- z x)) (cbrt (cbrt t))))
27.0ms
(* (/ y (pow (cbrt t) 2)) (* (cbrt (- z x)) (/ (cbrt (- z x)) (cbrt (pow (cbrt t) 2)))))

series161.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(cbrt (pow (cbrt t) 2))
30.0ms
(cbrt (cbrt t))
18.0ms
(* (* (/ y (pow (cbrt t) 2)) (* (cbrt (- z x)) (/ (cbrt (- z x)) (cbrt (pow (cbrt t) 2))))) (/ (cbrt (- z x)) (cbrt (cbrt t))))
77.0ms
(* (/ y (pow (cbrt t) 2)) (* (cbrt (- z x)) (/ (cbrt (- z x)) (cbrt (pow (cbrt t) 2)))))

simplify67.0ms

Algorithm
egg-herbie
Counts
273 → 273
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
050317060

prune488.0ms

Filtered
202 candidates to 273 candidates (-35.1%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New2721273
Fresh156
Picked011
Done022
Total2739282

Merged error: 0.0b

Counts
282 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z x))
0.5b
(cbrt (- z x))
0.5b
(cbrt (- z x))
5.7b
(* (* y (* (cbrt (- z x)) (cbrt (- z x)))) (/ (cbrt (- z x)) t))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt *-un-lft-identity
30×cbrt-prod cbrt-div
28×associate-*r*
25×add-exp-log
24×times-frac
22×add-cube-cbrt
21×associate-*r/
18×add-cbrt-cube
16×frac-times
15×flip3-- flip--
13×pow1
12×associate-*l/ prod-exp cbrt-unprod
6×pow-prod-down distribute-lft-out-- difference-of-squares
4×add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×associate-*l* *-commutative div-inv
Counts
4 → 114
Calls
4 calls:
3.0ms
(cbrt (- z x))
3.0ms
(cbrt (- z x))
3.0ms
(cbrt (- z x))
22.0ms
(* (* y (* (cbrt (- z x)) (cbrt (- z x)))) (/ (cbrt (- z x)) t))

series92.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (- z x))
26.0ms
(cbrt (- z x))
29.0ms
(cbrt (- z x))
12.0ms
(* (* y (* (cbrt (- z x)) (cbrt (- z x)))) (/ (cbrt (- z x)) t))

simplify80.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
049221537
149221537

prune107.0ms

Filtered
81 candidates to 126 candidates (-55.6%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New1260126
Fresh055
Picked011
Done033
Total1269135

Merged error: 0.0b

Counts
135 → 9

regimes389.0ms

Accuracy

15.1% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.8b

bsearch37.0ms

Steps
ItersRangePoint
8
-2.9718669971490716e-183
-1.172695641465439e-186
-1.7830765219654784e-183
7
-613486.7830977613
-27619.89564791414
-72395.033720331

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04063
14063

end0.0ms

sample790.0ms

Algorithm
intervals
Results
321.0ms10691×body80valid

Profiling

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