Details

Time bar (total: 4.1s)

analyze622.0ms

Algorithm
search

sample21.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
2.0ms59×body80invalid

simplify99.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1254
2584
3964
41314
51554
61794
73104
86434
911714
1020244
1132764
1250014

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.6b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 add-log-exp
2×frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 49
Calls
2 calls:
3.0ms
(+ x (* (- y x) (/ z t)))
13.0ms
(* (- y x) (/ z t))

series22.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(+ x (* (- y x) (/ z t)))
11.0ms
(* (- y x) (/ z t))

simplify36.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0296310
11245287
25001275

prune81.0ms

Filtered
39 candidates to 55 candidates (-41.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New49655
Fresh000
Picked011
Done000
Total49756

Merged error: 0.0b

Counts
56 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
5.2b
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
30×times-frac
25×add-exp-log
24×*-un-lft-identity
22×add-cube-cbrt associate-*r*
20×cbrt-prod
18×add-cbrt-cube
9×associate-*l*
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×pow1 unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 94
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
16.0ms
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

series82.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt t)
24.0ms
(cbrt t)
21.0ms
(cbrt t)
16.0ms
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

simplify55.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0475857
12098748
25002689

prune115.0ms

Filtered
79 candidates to 106 candidates (-34.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1042106
Fresh145
Picked101
Done011
Total1067113

Merged error: 0.0b

Counts
113 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (- (/ (* z y) t) (/ (* x z) t)))
0.0b
(- (/ (* z y) t) (/ (* x z) t))
5.3b
(/ (* z y) t)
6.1b
(/ (* x z) t)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
14×add-exp-log add-cbrt-cube
11×add-log-exp
10×add-sqr-sqrt
8×add-cube-cbrt
6×times-frac associate-/r*
4×pow1 cbrt-undiv div-exp div-inv
2×sub-neg associate-+r+ frac-2neg diff-log prod-exp clear-num sum-log cbrt-unprod distribute-lft-out associate-/l* distribute-lft-out--
1×+-commutative associate-+r- flip3-- distribute-rgt-out-- flip3-+ frac-sub flip-- flip-+ sub-div difference-of-squares
Counts
4 → 76
Calls
4 calls:
9.0ms
(+ x (- (/ (* z y) t) (/ (* x z) t)))
7.0ms
(- (/ (* z y) t) (/ (* x z) t))
4.0ms
(/ (* z y) t)
4.0ms
(/ (* x z) t)

series33.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(+ x (- (/ (* z y) t) (/ (* x z) t)))
13.0ms
(- (/ (* z y) t) (/ (* x z) t))
5.0ms
(/ (* z y) t)
5.0ms
(/ (* x z) t)

simplify39.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0330467
11537432
25002431

prune83.0ms

Filtered
60 candidates to 88 candidates (-46.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New86288
Fresh235
Picked011
Done011
Total88795

Merged error: 0b

Counts
95 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1 (/ t (* z y))) (/ (* x z) t))
0.7b
(/ 1 (/ t (* z y)))
5.3b
(/ t (* z y))
6.1b
(/ (* x z) t)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
41×times-frac
35×add-exp-log
31×add-sqr-sqrt
28×*-un-lft-identity
24×add-cube-cbrt
23×add-cbrt-cube
16×div-exp
11×associate-/r*
9×cbrt-undiv
8×div-inv
7×associate-/l*
6×add-log-exp
5×pow1 prod-exp
3×rec-exp frac-2neg 1-exp clear-num cbrt-unprod difference-of-squares
2×distribute-lft-out--
1×sub-neg flip3-- pow-flip diff-log associate-/r/ frac-sub flip-- inv-pow
Counts
4 → 116
Calls
4 calls:
15.0ms
(- (/ 1 (/ t (* z y))) (/ (* x z) t))
8.0ms
(/ 1 (/ t (* z y)))
4.0ms
(/ t (* z y))
4.0ms
(/ (* x z) t)

series27.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(- (/ 1 (/ t (* z y))) (/ (* x z) t))
6.0ms
(/ 1 (/ t (* z y)))
5.0ms
(/ t (* z y))
5.0ms
(/ (* x z) t)

simplify56.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0431691
12224570
25001566

prune81.0ms

Filtered
69 candidates to 128 candidates (-85.5%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1280128
Fresh044
Picked011
Done022
Total1287135

Merged error: 0b

Counts
135 → 7

regimes407.0ms

Accuracy

35.2% (1.4b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.2b

bsearch768.0ms

Steps
ItersRangePoint
8
1.2749207560351905e+36
1.204848646800013e+39
1.5531204693475367e+36
5
-3.101520217961628e-154
-1.0005265854289637e-154
-3.022362617005285e-154

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03217
13217

end0.0ms

analyze750.0ms

Algorithm
search

sample559.0ms

Algorithm
intervals
Results
250.0ms8000×body80valid
62.0ms2083×body80invalid

Profiling

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