Details

Time bar (total: 4.5s)

sample1.3s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 16.864014%

Guaranteed chance to sample good point: 70.097643%

Results
8.0ms256×body80valid
1.0ms31×body80invalid

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0174
1254
2494
3724
41054
51224
61394
71494
81564
91604
101644
112594
122974
133194
144054
154744
165324
176264
187024
197114
207114

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.5b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
1.5b
(* (/ (- x y) (- z y)) t)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*l*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*r* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
7.0ms
(/ (- x y) (- z y))
15.0ms
(* (/ (- x y) (- z y)) t)

series30.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ (- x y) (- z y))
21.0ms
(* (/ (- x y) (- z y)) t)

simplify102.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0360653
11125612
24514611
35001611

prune108.0ms

Filtered
72 candidates to 108 candidates (-50.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1026108
Fresh000
Picked011
Done000
Total1027109

Merged error: 0b

Counts
109 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z y))
0.2b
(* (- x y) (/ 1 (- z y)))
1.5b
(* (* (- x y) (/ 1 (- z y))) t)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
31×add-exp-log
24×add-cube-cbrt associate-*r*
19×add-cbrt-cube
13×prod-exp
11×pow1
10×associate-*l/
8×distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×flip3-- div-exp associate-*l* flip--
5×associate-/r*
4×frac-times pow-prod-down associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp unswap-sqr
2×associate-*r/ un-div-inv *-commutative div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 119
Calls
3 calls:
5.0ms
(/ 1 (- z y))
15.0ms
(* (- x y) (/ 1 (- z y)))
12.0ms
(* (* (- x y) (/ 1 (- z y))) t)

series34.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ 1 (- z y))
9.0ms
(* (- x y) (/ 1 (- z y)))
21.0ms
(* (* (- x y) (/ 1 (- z y))) t)

simplify49.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0392673
11893556
25001514

prune121.0ms

Filtered
71 candidates to 128 candidates (-80.3%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1280128
Fresh055
Picked011
Done011
Total1287135

Merged error: 0b

Counts
135 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))
6.9b
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
31×prod-exp add-cbrt-cube
18×cbrt-unprod
17×div-exp
15×cbrt-prod add-sqr-sqrt *-un-lft-identity
9×pow1 cbrt-undiv add-cube-cbrt
7×associate-*l*
6×cbrt-div 1-exp
4×add-log-exp
3×flip3-- times-frac pow1/3 pow-prod-down associate-*l/ flip-- distribute-lft-out-- difference-of-squares
1×frac-times associate-*r/ associate-*r* *-commutative div-inv
Counts
4 → 90
Calls
4 calls:
3.0ms
(cbrt (- x y))
5.0ms
(cbrt (- x y))
3.0ms
(cbrt (- x y))
20.0ms
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

series101.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(cbrt (- x y))
25.0ms
(cbrt (- x y))
25.0ms
(cbrt (- x y))
22.0ms
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

simplify62.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
04781007
12158786
25001655

prune102.0ms

Filtered
64 candidates to 102 candidates (-59.4%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1020102
Fresh044
Picked011
Done022
Total1027109

Merged error: 0b

Counts
109 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- z y))
11.5b
(* (- x y) (/ t (- z y)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*r*
9×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×associate-*l* associate-/r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 83
Calls
2 calls:
5.0ms
(/ t (- z y))
12.0ms
(* (- x y) (/ t (- z y)))

series22.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ t (- z y))
15.0ms
(* (- x y) (/ t (- z y)))

simplify42.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0293474
11347437
25001437

prune67.0ms

Filtered
64 candidates to 89 candidates (-39.1%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New88189
Fresh123
Picked011
Done123
Total90696

Merged error: 0b

Counts
96 → 6

regimes441.0ms

Accuracy

37.7% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 2.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02114
12114

end0.0ms

sample1.8s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 16.864014%

Guaranteed chance to sample good point: 70.097643%

Results
255.0ms8000×body80valid
20.0ms674×body80invalid

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