Details

Time bar (total: 2.7s)

sample19.0ms

Algorithm
intervals
Results
9.0ms323×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1296
2426
3496
4556
5616
6636
7636

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: 1.5b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
4.1b
(* (/ x y) z)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
56×*-un-lft-identity
46×times-frac
41×add-sqr-sqrt
36×add-cube-cbrt
16×fma-neg prod-diff
13×associate-*l*
10×add-exp-log add-cbrt-cube distribute-lft-out
5×pow1 add-log-exp
4×div-inv associate-/l*
3×expm1-log1p-u associate-*r* associate-*l/ associate-/r* log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod associate-/l/ unswap-sqr
1×sub-neg flip3-- frac-2neg flip3-+ diff-log pow-prod-down clear-num *-commutative frac-sub flip-- flip-+ sub-div
Counts
3 → 117
Calls
3 calls:
5.0ms
(/ (+ x 4.0) y)
10.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
6.0ms
(* (/ x y) z)

series94.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ (+ x 4.0) y)
42.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
24.0ms
(* (/ x y) z)

simplify44.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0399743
11422683
25001668

prune251.0ms

Filtered
126 candidates to 89 candidates (70.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1197126
Fresh000
Picked101
Done000
Total1207127

Merged error: 0.0b

Counts
127 → 7

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma 4.0 (/ 1 y) (* (/ x y) (- 1 z)))
4.0b
(* (/ x y) (- 1 z))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
25×*-un-lft-identity
22×add-cube-cbrt
18×prod-diff
13×associate-*l*
11×distribute-rgt-in distribute-lft-in
10×times-frac
7×add-exp-log add-cbrt-cube
6×associate-*r*
4×pow1
2×expm1-log1p-u frac-times sub-neg flip3-- associate-*r/ prod-exp flip-- cbrt-unprod log1p-expm1-u add-log-exp difference-of-squares unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative fma-udef div-inv distribute-lft-out--
Counts
2 → 73
Calls
2 calls:
1.0ms
(fma 4.0 (/ 1 y) (* (/ x y) (- 1 z)))
11.0ms
(* (/ x y) (- 1 z))

series119.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(fma 4.0 (/ 1 y) (* (/ x y) (- 1 z)))
56.0ms
(* (/ x y) (- 1 z))

simplify46.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0402603
11761405
25002402

prune149.0ms

Filtered
79 candidates to 45 candidates (57.0%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New78179
Fresh066
Picked101
Done000
Total79786

Merged error: 0.0b

Counts
86 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

4.1b
(* (/ x y) z)
10.5b
(cbrt (* (/ x y) z))
10.5b
(cbrt (* (/ x y) z))
10.5b
(cbrt (* (/ x y) z))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×add-cube-cbrt *-un-lft-identity
10×times-frac
9×add-exp-log add-cbrt-cube
6×pow1
4×expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
3×cbrt-prod cbrt-div pow1/3 associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down *-commutative div-inv
Counts
4 → 70
Calls
4 calls:
6.0ms
(* (/ x y) z)
4.0ms
(cbrt (* (/ x y) z))
4.0ms
(cbrt (* (/ x y) z))
4.0ms
(cbrt (* (/ x y) z))

series261.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (/ x y) z)
79.0ms
(cbrt (* (/ x y) z))
79.0ms
(cbrt (* (/ x y) z))
82.0ms
(cbrt (* (/ x y) z))

simplify57.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 3 (52.0ms)

IterNodesCost
0222383
1730335
22840307
35001303

prune213.0ms

Filtered
82 candidates to 63 candidates (76.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New82082
Fresh066
Picked011
Done000
Total82789

Merged error: 0.0b

Counts
89 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (/ (+ x 4.0) y))
0.5b
(cbrt (/ (+ x 4.0) y))
0.5b
(cbrt (/ (+ x 4.0) y))
4.1b
(* (/ x y) z)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
54×*-un-lft-identity
48×cbrt-prod
46×times-frac
41×add-sqr-sqrt
36×add-cube-cbrt
13×associate-*l*
9×add-exp-log add-cbrt-cube distribute-lft-out
6×pow1
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×cbrt-div pow1/3 associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative
Counts
4 → 115
Calls
4 calls:
4.0ms
(cbrt (/ (+ x 4.0) y))
4.0ms
(cbrt (/ (+ x 4.0) y))
4.0ms
(cbrt (/ (+ x 4.0) y))
6.0ms
(* (/ x y) z)

series293.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(cbrt (/ (+ x 4.0) y))
90.0ms
(cbrt (/ (+ x 4.0) y))
92.0ms
(cbrt (/ (+ x 4.0) y))
21.0ms
(* (/ x y) z)

simplify40.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0337968
11077917
25001850

prune362.0ms

Filtered
127 candidates to 102 candidates (80.3%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1270127
Fresh055
Picked011
Done011
Total1277134

Merged error: 0.0b

Counts
134 → 7

regimes106.0ms

Accuracy

91.9% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.8b

bsearch58.0ms

Steps
ItersRangePoint
4
4.735819680718145e-43
9.347414527225329e-43
7.80513442966518e-43
8
-51330663.2772825
-45386.90934105675
-23494568.222248383

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02611
12611

end0.0ms

sample494.0ms

Algorithm
intervals
Results
295.0ms10155×body80valid