Details

Time bar (total: 3.5s)

analyze615.0ms

Algorithm
search

sample20.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
2.0ms61×body80invalid

simplify105.0ms

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

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.9b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (/ (* y (- z x)) t))
6.8b
(/ (* y (- z x)) t)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×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/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 61
Calls
3 calls:
6.0ms
(* y (- z x))
4.0ms
(+ x (/ (* y (- z x)) t))
6.0ms
(/ (* y (- z x)) t)

series29.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* y (- z x))
10.0ms
(+ x (/ (* y (- z x)) t))
11.0ms
(/ (* y (- z x)) t)

simplify37.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0290325
11223280
25001280

prune85.0ms

Filtered
45 candidates to 70 candidates (-55.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New63770
Fresh000
Picked101
Done000
Total64771

Merged error: 0.0b

Counts
71 → 7

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- z x))
0.0b
(+ x (/ y (/ t (- z x))))
6.0b
(/ y (/ t (- z x)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
105×*-un-lft-identity
103×add-sqr-sqrt
71×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip-- add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 151
Calls
3 calls:
5.0ms
(/ t (- z x))
18.0ms
(+ x (/ y (/ t (- z x))))
8.0ms
(/ y (/ t (- z x)))

series33.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(/ t (- z x))
10.0ms
(+ x (/ y (/ t (- z x))))
15.0ms
(/ y (/ t (- z x)))

simplify62.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05391150
123681110
250021107

prune141.0ms

Filtered
119 candidates to 160 candidates (-34.5%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1573160
Fresh426
Picked011
Done000
Total1616167

Merged error: 0.0b

Counts
167 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (/ y t) (- z x)))
5.8b
(* (/ y t) (- z x))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 distribute-rgt-in sub-neg associate-+r+ distribute-lft-in add-log-exp
2×frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 57
Calls
2 calls:
3.0ms
(+ x (* (/ y t) (- z x)))
9.0ms
(* (/ y t) (- z x))

series22.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(+ x (* (/ y t) (- z x)))
12.0ms
(* (/ y t) (- z x))

simplify35.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0315335
11214299
25002299

prune64.0ms

Filtered
42 candidates to 63 candidates (-50.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New62163
Fresh044
Picked011
Done011
Total62769

Merged error: 0.0b

Counts
69 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
1.0b
(* (* (* (cbrt y) (cbrt y)) (* (cbrt (- z x)) (cbrt (- z x)))) (/ (cbrt y) (/ t (cbrt (- z x)))))
1.2b
(/ (cbrt y) (/ t (cbrt (- z x))))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
672×times-frac
402×add-sqr-sqrt *-un-lft-identity
384×cbrt-prod
324×add-cube-cbrt
185×associate-*r*
78×add-exp-log
50×cbrt-div
39×prod-exp cbrt-unprod distribute-lft-out-- difference-of-squares
36×add-cbrt-cube
30×associate-/r*
28×associate-/r/
25×flip3-- flip--
22×pow1
21×associate-*r/
18×cbrt-undiv div-exp
16×frac-times
15×div-inv
13×pow-prod-down
12×associate-*l/
6×associate-/l*
4×add-log-exp
2×pow1/3
1×frac-2neg associate-*l* clear-num *-commutative
Counts
4 → 499
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
54.0ms
(* (* (* (cbrt y) (cbrt y)) (* (cbrt (- z x)) (cbrt (- z x)))) (/ (cbrt y) (/ t (cbrt (- z x)))))
14.0ms
(/ (cbrt y) (/ t (cbrt (- z x))))

series95.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
21.0ms
(cbrt y)
17.0ms
(* (* (* (cbrt y) (cbrt y)) (* (cbrt (- z x)) (cbrt (- z x)))) (/ (cbrt y) (/ t (cbrt (- z x)))))
35.0ms
(/ (cbrt y) (/ t (cbrt (- z x))))

simplify110.0ms

Algorithm
egg-herbie
Counts
511 → 511
Iterations

Useful iterations: 1 (44.0ms)

IterNodesCost
021327770
150027509

prune463.0ms

Filtered
421 candidates to 511 candidates (-21.4%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New5110511
Fresh044
Picked011
Done022
Total5117518

Merged error: 0.0b

Counts
518 → 7

regimes257.0ms

Accuracy

0% (2.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104
1104

end0.0ms

analyze604.0ms

Algorithm
search

sample536.0ms

Algorithm
intervals
Results
240.0ms8000×body80valid
61.0ms2057×body80invalid

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