Details

Time bar (total: 5.1s)

sample24.0ms

Algorithm
intervals
Results
12.0ms343×body80valid

simplify98.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1254
2454
3844
41254
51494
61704
72844
84914
98244
1013444
1125764
1238734
1350014

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.4b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z x)) t))
0.0b
(* y (- z x))
7.4b
(/ (* y (- z x)) t)

rewrite21.0ms

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:
5.0ms
(+ x (/ (* y (- z x)) t))
7.0ms
(* y (- z x))
8.0ms
(/ (* y (- z x)) t)

series116.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(+ x (/ (* y (- z x)) t))
34.0ms
(* y (- z x))
48.0ms
(/ (* y (- z x)) t)

simplify37.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0290325
11223280
25001280

prune113.0ms

Filtered
70 candidates to 45 candidates (64.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New63770
Fresh000
Picked101
Done000
Total64771

Merged error: 0.0b

Counts
71 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (/ t (- z x))))
0.0b
(/ t (- z x))
7.6b
(/ y (/ t (- z x)))

rewrite42.0ms

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:
20.0ms
(+ x (/ y (/ t (- z x))))
6.0ms
(/ t (- z x))
9.0ms
(/ y (/ t (- z x)))

series120.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(+ x (/ y (/ t (- z x))))
28.0ms
(/ t (- z x))
56.0ms
(/ y (/ t (- z x)))

simplify65.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05391150
123681110
250011107

prune295.0ms

Filtered
160 candidates to 119 candidates (74.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1573160
Fresh426
Picked011
Done000
Total1616167

Merged error: 0b

Counts
167 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (/ y t) (/ 1 (- z x))))
0.0b
(/ 1 (- z x))
6.1b
(/ (/ y t) (/ 1 (- z x)))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
696×times-frac
387×*-un-lft-identity
385×add-sqr-sqrt
293×add-cube-cbrt
46×distribute-lft-out-- difference-of-squares
38×div-inv
31×associate-/r/
29×add-exp-log
26×associate-/r*
18×div-exp
17×add-cbrt-cube
16×associate-/l*
15×flip3-- flip--
9×cbrt-undiv
5×add-log-exp
4×pow1
3×rec-exp 1-exp
2×frac-2neg clear-num
1×+-commutative pow-flip flip3-+ sum-log flip-+ associate-/l/ distribute-lft-out inv-pow
Counts
3 → 384
Calls
3 calls:
62.0ms
(+ x (/ (/ y t) (/ 1 (- z x))))
6.0ms
(/ 1 (- z x))
16.0ms
(/ (/ y t) (/ 1 (- z x)))

series123.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(+ x (/ (/ y t) (/ 1 (- z x))))
38.0ms
(/ 1 (- z x))
51.0ms
(/ (/ y t) (/ 1 (- z x)))

simplify81.0ms

Algorithm
egg-herbie
Counts
393 → 393
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
017044274
150013890

prune579.0ms

Filtered
393 candidates to 217 candidates (55.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New3921393
Fresh134
Picked011
Done011
Total3936399

Merged error: 0b

Counts
399 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
1.5b
(* (* (* (cbrt y) (cbrt y)) (* (cbrt (- z x)) (cbrt (- z x)))) (/ (cbrt y) (/ t (cbrt (- z x)))))
1.9b
(/ (cbrt y) (/ t (cbrt (- z x))))

rewrite116.0ms

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)
62.0ms
(* (* (* (cbrt y) (cbrt y)) (* (cbrt (- z x)) (cbrt (- z x)))) (/ (cbrt y) (/ t (cbrt (- z x)))))
14.0ms
(/ (cbrt y) (/ t (cbrt (- z x))))

series576.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(cbrt y)
180.0ms
(cbrt y)
76.0ms
(* (* (* (cbrt y) (cbrt y)) (* (cbrt (- z x)) (cbrt (- z x)))) (/ (cbrt y) (/ t (cbrt (- z x)))))
124.0ms
(/ (cbrt y) (/ t (cbrt (- z x))))

simplify112.0ms

Algorithm
egg-herbie
Counts
511 → 511
Iterations

Useful iterations: 1 (45.0ms)

IterNodesCost
021227742
150017241

prune1.8s

Filtered
511 candidates to 422 candidates (82.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New5110511
Fresh033
Picked011
Done022
Total5116517

Merged error: 0b

Counts
517 → 6

regimes103.0ms

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
0135
1135

end0.0ms

sample585.0ms

Algorithm
intervals
Results
325.0ms10686×body80valid

Profiling

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