Details

Time bar (total: 2.6s)

sample29.0ms

Algorithm
intervals
Results
10.0ms344×body80valid

simplify110.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1254
2454
3844
41254
51494
61704
72844
84914
98244
1013444
1121284
1233854
1350024

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.6b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z x))
6.7b
(/ (* y (- z x)) t)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
6.0ms
(* y (- z x))
7.0ms
(/ (* y (- z x)) t)

series19.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* y (- z x))
12.0ms
(/ (* y (- z x)) t)

simplify36.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0231226
11033189
25002189

prune73.0ms

Filtered
35 candidates to 55 candidates (-57.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New49655
Fresh000
Picked011
Done000
Total49756

Merged error: 0.0b

Counts
56 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt t)
0.7b
(cbrt t)
0.7b
(cbrt t)
5.3b
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite27.0ms

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)))

series88.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt t)
22.0ms
(cbrt t)
25.0ms
(cbrt t)
19.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

simplify61.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0500954
12500845
25001783

prune116.0ms

Filtered
84 candidates to 116 candidates (-38.1%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1151116
Fresh055
Picked011
Done011
Total1158123

Merged error: 0.0b

Counts
123 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt t)
0.7b
(cbrt t)
1.4b
(* (* (/ y (cbrt t)) (/ (- z x) (cbrt t))) (/ 1 (cbrt t)))
4.0b
(* (/ y (cbrt t)) (/ (- z x) (cbrt t)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
93×add-exp-log
91×add-sqr-sqrt
78×times-frac
61×*-un-lft-identity
56×associate-*r*
49×add-cube-cbrt
45×cbrt-prod
40×prod-exp add-cbrt-cube
30×div-exp
23×associate-*l*
22×cbrt-unprod
17×cbrt-undiv
11×pow1
9×unswap-sqr
6×frac-times associate-*l/ distribute-lft-out-- difference-of-squares
5×rec-exp 1-exp
4×associate-*r/ pow-prod-down add-log-exp
3×div-inv
2×pow1/3 *-commutative
1×un-div-inv
Counts
4 → 178
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
18.0ms
(* (* (/ y (cbrt t)) (/ (- z x) (cbrt t))) (/ 1 (cbrt t)))
23.0ms
(* (/ y (cbrt t)) (/ (- z x) (cbrt t)))

series128.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt t)
22.0ms
(cbrt t)
19.0ms
(* (* (/ y (cbrt t)) (/ (- z x) (cbrt t))) (/ 1 (cbrt t)))
63.0ms
(* (/ y (cbrt t)) (/ (- z x) (cbrt t)))

simplify41.0ms

Algorithm
egg-herbie
Counts
190 → 190
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
09101730
150011513

prune196.0ms

Filtered
137 candidates to 190 candidates (-38.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1891190
Fresh055
Picked011
Done112
Total1908198

Merged error: 0b

Counts
198 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt t)
0.7b
(cbrt t)
1.4b
(* (* (/ (* y (* (cbrt (- z x)) (cbrt (- z x)))) (cbrt t)) (/ (cbrt (- z x)) (cbrt t))) (/ 1 (cbrt t)))
2.5b
(/ (* y (* (cbrt (- z x)) (cbrt (- z x)))) (cbrt t))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
190×add-exp-log
95×prod-exp
61×div-exp
56×add-cbrt-cube
49×cbrt-unprod
32×cbrt-undiv
24×times-frac
23×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
22×associate-*r*
21×cbrt-prod
13×associate-*r/
12×cbrt-div
9×pow1 frac-times rec-exp 1-exp
8×associate-/l/
7×associate-*l/
6×flip3-- associate-/r* flip--
4×add-log-exp
3×pow-prod-down
2×pow1/3 div-inv
1×frac-2neg associate-*l* clear-num un-div-inv *-commutative associate-/l*
Counts
4 → 154
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
27.0ms
(* (* (/ (* y (* (cbrt (- z x)) (cbrt (- z x)))) (cbrt t)) (/ (cbrt (- z x)) (cbrt t))) (/ 1 (cbrt t)))
14.0ms
(/ (* y (* (cbrt (- z x)) (cbrt (- z x)))) (cbrt t))

series110.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt t)
22.0ms
(cbrt t)
19.0ms
(* (* (/ (* y (* (cbrt (- z x)) (cbrt (- z x)))) (cbrt t)) (/ (cbrt (- z x)) (cbrt t))) (/ 1 (cbrt t)))
45.0ms
(/ (* y (* (cbrt (- z x)) (cbrt (- z x)))) (cbrt t))

simplify127.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (109.0ms)

IterNodesCost
09242468
146561859
250011690

prune160.0ms

Filtered
105 candidates to 166 candidates (-58.1%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1660166
Fresh055
Picked011
Done022
Total1668174

Merged error: 0b

Counts
174 → 8

regimes311.0ms

Accuracy

43.5% (2.5b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 4.5b

bsearch37.0ms

Steps
ItersRangePoint
4
1.2334294854598816e-153
1.8494567696896984e-153
1.8302059170575166e-153
9
-2.573888475181405e-41
-1.3456703098874792e-49
-5.69623630598695e-44

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03621
13621

end0.0ms

sample786.0ms

Algorithm
intervals
Results
323.0ms10669×body80valid

Profiling

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