Details

Time bar (total: 4.7s)

sample1.4s

Algorithm
intervals
sampling

Space saved by range analysis: 10.648361%

Space saved by search: 0.195169%

Guaranteed chance to sample good point: 0%

Results
13.0ms256×body80valid
3.0ms54×body80invalid

simplify150.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.8b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- z t)) t)
7.9b
(* (/ x y) (- z t))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
add-exp-log add-cbrt-cube
associate-*r*
pow1 distribute-rgt-in sub-neg associate-+l+ distribute-lft-in add-log-exp
frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
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)
14.0ms
(* (/ x y) (- z t))

series23.0ms

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

simplify36.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0314342
11191302
25002302

prune94.0ms

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

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New56763
Fresh000
Picked101
Done000
Total57764

Merged error: 0b

Counts
64 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (/ x y) z) (- t (* t (/ x y))))
0.0b
(- t (* t (/ x y)))
4.8b
(* t (/ x y))
5.8b
(* (/ x y) z)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity times-frac
16×associate-*r* associate-*l*
14×add-exp-log add-cbrt-cube
11×add-log-exp
pow1
prod-exp cbrt-unprod unswap-sqr
associate-*l/
cbrt-undiv sub-neg associate-+r+ flip3-- diff-log div-exp pow-prod-down frac-add sum-log *-commutative flip-- div-inv
+-commutative associate-+r- flip3-+ associate-*r/ flip-+
Counts
4 → 93
Calls
4 calls:
6.0ms
(+ (* (/ x y) z) (- t (* t (/ x y))))
3.0ms
(- t (* t (/ x y)))
7.0ms
(* t (/ x y))
6.0ms
(* (/ x y) z)

series28.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(+ (* (/ x y) z) (- t (* t (/ x y))))
7.0ms
(- t (* t (/ x y)))
5.0ms
(* t (/ x y))
5.0ms
(* (/ x y) z)

simplify59.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0437525
12109485
25002470

prune99.0ms

Filtered
74 candidates to 105 candidates (-41.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1050105
Fresh066
Picked011
Done000
Total1057112

Merged error: 0b

Counts
112 → 7

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) y)
0.0b
(+ (* x (/ (- z t) y)) t)
3.9b
(* x (/ (- z t) y))

rewrite27.0ms

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
distribute-lft-out-- difference-of-squares
pow1 associate-/l* add-log-exp
associate-*l* associate-/r*
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
+-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:
7.0ms
(/ (- z t) y)
7.0ms
(+ (* x (/ (- z t) y)) t)
9.0ms
(* x (/ (- z t) y))

series30.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ (- z t) y)
11.0ms
(+ (* x (/ (- z t) y)) t)
12.0ms
(* x (/ (- z t) y))

simplify42.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0342501
11379468
25001456

prune87.0ms

Filtered
65 candidates to 96 candidates (-47.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New94296
Fresh325
Picked011
Done011
Total976103

Merged error: 0b

Counts
103 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x (/ 1 (/ y (- z t)))) t)
0.0b
(/ y (- z t))
0.3b
(/ 1 (/ y (- z t)))
3.9b
(* x (/ 1 (/ y (- z t))))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
252×times-frac
186×add-sqr-sqrt
174×*-un-lft-identity
122×add-cube-cbrt
68×associate-*r*
36×add-exp-log
26×associate-/r*
25×distribute-lft-out-- difference-of-squares
20×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
flip3-- flip--
pow1 cbrt-undiv prod-exp
associate-/l* add-log-exp
unswap-sqr
rec-exp 1-exp
associate-*l* cbrt-unprod
frac-2neg clear-num
+-commutative pow-flip flip3-+ associate-*r/ pow-prod-down sum-log un-div-inv *-commutative flip-+ inv-pow
Counts
4 → 253
Calls
4 calls:
12.0ms
(+ (* x (/ 1 (/ y (- z t)))) t)
5.0ms
(/ y (- z t))
8.0ms
(/ 1 (/ y (- z t)))
21.0ms
(* x (/ 1 (/ y (- z t))))

series41.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(+ (* x (/ 1 (/ y (- z t)))) t)
7.0ms
(/ y (- z t))
7.0ms
(/ 1 (/ y (- z t)))
16.0ms
(* x (/ 1 (/ y (- z t))))

simplify84.0ms

Algorithm
egg-herbie
Counts
265 → 265
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
07651801
138221594
250021400

prune170.0ms

Filtered
153 candidates to 265 candidates (-73.2%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New2650265
Fresh033
Picked011
Done022
Total2656271

Merged error: 0b

Counts
271 → 6

regimes339.0ms

Accuracy

54.7% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
03525
13814
24114
34114

end0.0ms

sample1.9s

Algorithm
intervals
sampling

Space saved by range analysis: 10.648361%

Space saved by search: 0.195169%

Guaranteed chance to sample good point: 0%

Results
250.0ms8000×body80valid
55.0ms1582×body80invalid

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