Details

Time bar (total: 4.0s)

sample34.0ms

Algorithm
intervals
Results
17.0ms324×body80valid

simplify24.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0155
1255
2395
3585
4735
5875
61025
71085
81105
91105

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: 5.5b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
5.3b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
45×*-un-lft-identity
31×times-frac
15×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
10×associate-*r*
7×add-exp-log add-cbrt-cube
5×pow1 associate-/r* add-log-exp
3×sub-neg flip3-- associate-*r/ associate-*l* flip-- associate-/l*
2×distribute-rgt-in distribute-lft-in associate-/r/ frac-sub
1×cbrt-undiv frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
3 → 89
Calls
3 calls:
30.0ms
(- (/ y z) (/ t (- 1.0 z)))
6.0ms
(/ t (- 1.0 z))
22.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series125.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(- (/ y z) (/ t (- 1.0 z)))
32.0ms
(/ t (- 1.0 z))
59.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify43.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0387632
11452595
25001593

prune190.0ms

Filtered
98 candidates to 71 candidates (72.4%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New89998
Fresh000
Picked101
Done000
Total90999

Merged error: 1.6b

Counts
99 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x (/ y z)) (* x (- (/ t (- 1.0 z)))))
0.0b
(/ t (- 1.0 z))
3.4b
(* x (- (/ t (- 1.0 z))))
7.5b
(* x (/ y z))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
69×add-sqr-sqrt
62×*-un-lft-identity
59×associate-*r*
55×times-frac
42×add-cube-cbrt
21×distribute-lft-neg-in distribute-rgt-neg-in
13×add-exp-log add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
8×pow1
6×associate-*l* associate-/r/ add-log-exp
5×associate-/r*
4×associate-*r/ div-inv
3×flip3-- prod-exp distribute-rgt-neg-out flip-- cbrt-unprod associate-/l* unswap-sqr
2×cbrt-undiv div-exp pow-prod-down *-commutative distribute-neg-frac
1×+-commutative neg-mul-1 frac-2neg flip3-+ unsub-neg frac-add clear-num sum-log flip-+ distribute-lft-out
Counts
4 → 147
Calls
4 calls:
5.0ms
(+ (* x (/ y z)) (* x (- (/ t (- 1.0 z)))))
5.0ms
(/ t (- 1.0 z))
14.0ms
(* x (- (/ t (- 1.0 z))))
9.0ms
(* x (/ y z))

series172.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(+ (* x (/ y z)) (* x (- (/ t (- 1.0 z)))))
32.0ms
(/ t (- 1.0 z))
58.0ms
(* x (- (/ t (- 1.0 z))))
19.0ms
(* x (/ y z))

simplify81.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
0674871
13174809
25001808

prune336.0ms

Filtered
159 candidates to 119 candidates (74.8%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1527159
Fresh628
Picked101
Done000
Total1599168

Merged error: 0.0b

Counts
168 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
3.4b
(* x (- (/ t (- 1.0 z))))
3.6b
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
51×associate-*r*
45×add-sqr-sqrt
40×*-un-lft-identity
32×times-frac
28×add-cube-cbrt
24×add-exp-log
21×distribute-lft-neg-in distribute-rgt-neg-in
16×add-cbrt-cube
10×prod-exp cbrt-unprod
8×pow1
6×cbrt-prod associate-*l* distribute-lft-out-- difference-of-squares
4×cbrt-undiv div-exp associate-/r/ add-log-exp
3×div-inv unswap-sqr
2×flip3-- pow1/3 associate-*r/ pow-prod-down *-commutative flip--
1×neg-mul-1 distribute-rgt-neg-out distribute-neg-frac
Counts
4 → 115
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
18.0ms
(* x (- (/ t (- 1.0 z))))
12.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

series494.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt y)
180.0ms
(cbrt y)
56.0ms
(* x (- (/ t (- 1.0 z))))
83.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

simplify78.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
0634798
13020680
25001651

prune380.0ms

Filtered
127 candidates to 96 candidates (75.6%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1252127
Fresh088
Picked101
Done000
Total12610136

Merged error: 0.0b

Counts
136 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
3.4b
(* x (- (/ t (- 1.0 z))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
46×associate-*r*
41×add-sqr-sqrt
39×*-un-lft-identity
30×times-frac
27×add-cube-cbrt
21×distribute-lft-neg-in distribute-rgt-neg-in
9×cbrt-prod
6×pow1 add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
4×associate-/r/ add-log-exp
3×pow1/3 associate-*l*
2×flip3-- flip-- div-inv
1×neg-mul-1 associate-*r/ pow-prod-down prod-exp *-commutative distribute-rgt-neg-out cbrt-unprod distribute-neg-frac unswap-sqr
Counts
4 → 96
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
15.0ms
(* x (- (/ t (- 1.0 z))))

series597.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt y)
177.0ms
(cbrt y)
185.0ms
(cbrt y)
56.0ms
(* x (- (/ t (- 1.0 z))))

simplify51.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0385481
11746447
25002439

prune301.0ms

Filtered
108 candidates to 86 candidates (79.6%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1080108
Fresh099
Picked011
Done000
Total10810118

Merged error: 0.0b

Counts
118 → 10

regimes269.0ms

Accuracy

1.5% (1.4b remaining)

Error of 1.5b against oracle of 0.1b and baseline of 1.5b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05135
15535
25635
35635

end0.0ms

sample621.0ms

Algorithm
intervals
Results
374.0ms10065×body80valid