Details

Time bar (total: 2.5s)

sample34.0ms

Algorithm
intervals
Results
11.0ms350×body80valid

simplify139.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1314
2574
3914
41174
51364
61584
72124
84214
98804
1016184
1129914
1247574
1350014

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.4b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- z t)) t)
7.3b
(* (/ x y) (- z t))

rewrite18.0ms

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

series22.0ms

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

simplify33.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0314342
11191302
25002302

prune90.0ms

Filtered
43 candidates to 63 candidates (-46.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New56763
Fresh000
Picked011
Done000
Total56864

Merged error: 0b

Counts
64 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.8b
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
11.6b
(cbrt (/ x y))
11.6b
(cbrt (/ x y))
11.6b
(cbrt (/ x y))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod cbrt-div
29×frac-times
27×times-frac
25×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
19×associate-*r/
16×pow1 add-exp-log
13×associate-*l/
10×add-cbrt-cube
8×distribute-rgt-in flip3-- distribute-lft-in pow-prod-down prod-exp flip-- cbrt-unprod
4×sub-neg add-log-exp
3×pow1/3 div-inv
1×associate-*r* associate-*l* *-commutative
Counts
4 → 119
Calls
4 calls:
19.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))

series51.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
13.0ms
(cbrt (/ x y))
12.0ms
(cbrt (/ x y))
13.0ms
(cbrt (/ x y))

simplify48.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04901215
116041027
25001902

prune129.0ms

Filtered
90 candidates to 131 candidates (-45.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1301131
Fresh156
Picked101
Done011
Total1327139

Merged error: 0b

Counts
139 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
1.6b
(* (/ x (cbrt y)) (- z t))
4.1b
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (- z t)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
87×add-exp-log
46×prod-exp
35×add-cbrt-cube
32×add-sqr-sqrt
29×associate-*l*
24×*-un-lft-identity
23×times-frac
22×add-cube-cbrt
20×div-exp cbrt-unprod
16×cbrt-prod
11×pow1 frac-times associate-*r/
10×cbrt-undiv distribute-rgt-in distribute-lft-in
6×sub-neg rec-exp flip3-- 1-exp associate-*r* flip--
4×pow-prod-down associate-*l/ add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative div-inv
1×distribute-lft-out-- difference-of-squares
Counts
4 → 141
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
10.0ms
(* (/ x (cbrt y)) (- z t))
16.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (- z t)))

series106.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt y)
22.0ms
(cbrt y)
42.0ms
(* (/ x (cbrt y)) (- z t))
20.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (- z t)))

simplify74.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
07181312
131411057
25001921

prune131.0ms

Filtered
93 candidates to 153 candidates (-64.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1530153
Fresh055
Picked011
Done011
Total1537160

Merged error: 0b

Counts
160 → 7

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative flip3-- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-- flip-+
Counts
3 → 87
Calls
3 calls:
6.0ms
(/ (- z t) y)
7.0ms
(+ (* x (/ (- z t) y)) t)
9.0ms
(* x (/ (- z t) y))

series32.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ (- z t) y)
10.0ms
(+ (* x (/ (- z t) y)) t)
15.0ms
(* x (/ (- z t) y))

simplify41.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0342501
11379468
25001456

prune69.0ms

Filtered
66 candidates to 96 candidates (-45.5%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New96096
Fresh044
Picked011
Done022
Total967103

Merged error: 0b

Counts
103 → 7

regimes524.0ms

Accuracy

17% (1.7b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 2.1b

bsearch39.0ms

Steps
ItersRangePoint
9
3.9797911173252017e-78
7.944360267890114e-73
3.5310335184008532e-74
7
-4.7491081966370885e-108
-3.1116853234737057e-110
-3.499344762550085e-108

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03214
13214

end0.0ms

sample766.0ms

Algorithm
intervals
Results
314.0ms10609×body80valid

Profiling

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