Details

Time bar (total: 4.1s)

sample23.0ms

Algorithm
intervals
Results
11.0ms345×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0153
1343
2723
31003
41083
51083

prune4.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 7.3b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- x z))
7.0b
(* t (* y (- x z)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
10×distribute-rgt-in distribute-lft-in
9×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
7×*-un-lft-identity
6×sub-neg associate-*r/ associate-*r* associate-*l*
5×add-cube-cbrt
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 54
Calls
2 calls:
6.0ms
(* y (- x z))
7.0ms
(* t (* y (- x z)))

series76.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* y (- x z))
43.0ms
(* t (* y (- x z)))

simplify32.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0201242
1924211
25001211

prune85.0ms

Filtered
60 candidates to 32 candidates (53.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New53760
Fresh000
Picked011
Done000
Total53861

Merged error: 0.0b

Counts
61 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
2.9b
(* (cbrt t) (* y (- x z)))
4.4b
(* (* (cbrt t) (cbrt t)) (* (cbrt t) (* y (- x z))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
32×distribute-rgt-in distribute-lft-in
30×pow1 add-exp-log
18×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
12×sub-neg
10×associate-*r/
9×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*l*
4×add-log-exp
2×flip3-- pow1/3 associate-*r* *-commutative flip--
Counts
4 → 99
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
8.0ms
(* (cbrt t) (* y (- x z)))
15.0ms
(* (* (cbrt t) (cbrt t)) (* (cbrt t) (* y (- x z))))

series573.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(cbrt t)
167.0ms
(cbrt t)
172.0ms
(* (cbrt t) (* y (- x z)))
70.0ms
(* (* (cbrt t) (cbrt t)) (* (cbrt t) (* y (- x z))))

simplify50.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0403854
11575609
25002511

prune167.0ms

Filtered
111 candidates to 58 candidates (52.3%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1083111
Fresh066
Picked011
Done011
Total10811119

Merged error: 0.0b

Counts
119 → 11

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
2.1b
(* (* (cbrt t) y) (- x z))
4.4b
(* (* (cbrt t) (cbrt t)) (* (* (cbrt t) y) (- x z)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
30×pow1 add-exp-log
21×add-cbrt-cube
18×pow-prod-down prod-exp cbrt-unprod
10×distribute-rgt-in distribute-lft-in
9×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
6×cbrt-prod sub-neg associate-*r/ associate-*r*
4×add-log-exp
2×flip3-- pow1/3 associate-*l* *-commutative flip--
1×distribute-lft-out-- difference-of-squares
Counts
4 → 86
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
8.0ms
(* (* (cbrt t) y) (- x z))
14.0ms
(* (* (cbrt t) (cbrt t)) (* (* (cbrt t) y) (- x z)))

series604.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt t)
173.0ms
(cbrt t)
175.0ms
(* (* (cbrt t) y) (- x z))
70.0ms
(* (* (cbrt t) (cbrt t)) (* (* (cbrt t) y) (- x z)))

simplify62.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0388717
11949522
25002439

prune157.0ms

Filtered
98 candidates to 54 candidates (55.1%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New96298
Fresh268
Picked011
Done022
Total9811109

Merged error: 0.0b

Counts
109 → 11

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(* (* (* (cbrt t) y) (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z)))
1.8b
(* (* (cbrt t) y) (* (cbrt (- x z)) (cbrt (- x z))))
4.4b
(* (* (cbrt t) (cbrt t)) (* (* (* (cbrt t) y) (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z))))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
120×cbrt-div
100×associate-*r/
90×pow1 add-exp-log
65×pow-prod-down prod-exp cbrt-unprod
60×frac-times flip3-- flip--
39×add-cbrt-cube
30×associate-*l/
10×associate-*r*
9×add-sqr-sqrt *-un-lft-identity
8×cbrt-prod
7×add-cube-cbrt
4×add-log-exp
3×associate-*l* *-commutative
1×pow1/3 distribute-lft-out-- difference-of-squares
Counts
4 → 171
Calls
4 calls:
1.0ms
(cbrt t)
21.0ms
(* (* (* (cbrt t) y) (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z)))
15.0ms
(* (* (cbrt t) y) (* (cbrt (- x z)) (cbrt (- x z))))
31.0ms
(* (* (cbrt t) (cbrt t)) (* (* (* (cbrt t) y) (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z))))

series579.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt t)
183.0ms
(* (* (* (cbrt t) y) (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z)))
148.0ms
(* (* (cbrt t) y) (* (cbrt (- x z)) (cbrt (- x z))))
68.0ms
(* (* (cbrt t) (cbrt t)) (* (* (* (cbrt t) y) (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z))))

simplify132.0ms

Algorithm
egg-herbie
Counts
183 → 183
Iterations

Useful iterations: 2 (103.0ms)

IterNodesCost
08862839
136322188
250032032

prune336.0ms

Filtered
183 candidates to 84 candidates (45.9%)
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New1830183
Fresh077
Picked011
Done033
Total18311194

Merged error: 0.0b

Counts
194 → 11

regimes209.0ms

Accuracy

-12.2% (7.0b remaining)

Error of 7.1b against oracle of 0.1b and baseline of 6.3b

bsearch158.0ms

Steps
ItersRangePoint
11
8.467104806048855e+211
5.77641344774645e+233
4.146211365397844e+222
8
3.8015894446419474e-288
3.014210302835833e-285
4.789149855741165e-286
9
-3.326072903539595e-225
-6.174818213389885e-233
-3.197200033242854e-226
8
-4.578152784627497e-119
-9.011538858582313e-123
-1.2092408624693047e-120

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 2 (1.0ms)

IterNodesCost
02815
13115
2376
3406
4466
5576
6646
7656
8656

end0.0ms

sample646.0ms

Algorithm
intervals
Results
376.0ms10748×body80valid

Profiling

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