Details

Time bar (total: 2.5s)

sample31.0ms

Algorithm
intervals
Results
14.0ms332×body80valid

simplify128.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
0144
1284
2513
3903
41503
52143
63083
74473
85503
98653
1012313
1117253
1227283
1344643
1450013

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* (- y x) z) t))
0.0b
(* (- y x) z)
5.7b
(/ (* (- y x) z) t)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
45×*-un-lft-identity
42×times-frac
33×add-cube-cbrt
25×associate-*l*
15×associate-*r*
14×associate-/l*
10×add-exp-log add-cbrt-cube
pow1 *-commutative distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
associate-*l/
expm1-log1p-u fma-def associate-/r* log1p-expm1-u
cbrt-undiv flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/
+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log flip-+ div-inv distribute-lft-out
Counts
3 → 118
Calls
3 calls:
15.0ms
(+ x (/ (* (- y x) z) t))
6.0ms
(* (- y x) z)
11.0ms
(/ (* (- y x) z) t)

series114.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(+ x (/ (* (- y x) z) t))
30.0ms
(* (- y x) z)
46.0ms
(/ (* (- y x) z) t)

simplify55.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0442708
11795660
25003655

prune190.0ms

Filtered
127 candidates to 94 candidates (74.0%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1216127
Fresh101
Picked101
Done000
Total1236129

Merged error: 0b

Counts
129 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
27×*-un-lft-identity
24×add-sqr-sqrt
18×frac-times
17×add-cube-cbrt
13×associate-*r*
10×flip3-- times-frac flip-- associate-/l*
associate-*r/ associate-/r*
add-exp-log associate-*l* add-cbrt-cube
pow1 clear-num add-log-exp
fma-def frac-2neg distribute-lft-out
expm1-log1p-u associate-*l/ prod-exp un-div-inv cbrt-unprod log1p-expm1-u distribute-lft-out-- unswap-sqr
cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv difference-of-squares
Counts
2 → 85
Calls
2 calls:
12.0ms
(+ x (* (- y x) (/ z t)))
11.0ms
(* (- y x) (/ z t))

series82.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(+ x (* (- y x) (/ z t)))
46.0ms
(* (- y x) (/ z t))

simplify58.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0398512
11954483
25003468

prune145.0ms

Filtered
91 candidates to 66 candidates (72.5%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New89291
Fresh235
Picked011
Done000
Total91697

Merged error: 0b

Counts
97 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) (/ t z)))
7.7b
(/ (- y x) (/ t z))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
91×*-un-lft-identity
89×add-sqr-sqrt
61×add-cube-cbrt
16×associate-/r*
14×distribute-lft-out-- difference-of-squares
associate-/r/
associate-/l*
add-exp-log add-cbrt-cube div-inv
add-log-exp
cbrt-undiv fma-def div-exp
pow1 expm1-log1p-u frac-2neg div-sub clear-num log1p-expm1-u associate-/l/
+-commutative associate-+r- flip3-- flip3-+ sum-log flip-- flip-+ distribute-lft-out
Counts
2 → 129
Calls
2 calls:
24.0ms
(+ x (/ (- y x) (/ t z)))
11.0ms
(/ (- y x) (/ t z))

series84.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(+ x (/ (- y x) (/ t z)))
44.0ms
(/ (- y x) (/ t z))

simplify67.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
06381001
12376948
25003945

prune212.0ms

Filtered
135 candidates to 99 candidates (73.3%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1350135
Fresh044
Picked011
Done011
Total1356141

Merged error: 0b

Counts
141 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (* z (- y x)) (/ 1 t)))
0.0b
(* z (- y x))
5.8b
(* (* z (- y x)) (/ 1 t))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
59×add-sqr-sqrt
47×*-un-lft-identity
34×add-cube-cbrt
31×associate-*r/
27×add-exp-log
23×associate-*r* associate-*l*
18×frac-times prod-diff
17×add-cbrt-cube
13×times-frac prod-exp
11×distribute-rgt-in flip3-- distribute-lft-in flip-- unswap-sqr
10×pow1 associate-/l*
associate-/r*
cbrt-unprod
add-log-exp
div-exp pow-prod-down clear-num
expm1-log1p-u fma-def frac-2neg un-div-inv *-commutative log1p-expm1-u distribute-lft-out
cbrt-undiv sub-neg rec-exp 1-exp associate-*l/ distribute-lft-out-- difference-of-squares
+-commutative flip3-+ sum-log flip-+ div-inv
Counts
3 → 154
Calls
3 calls:
18.0ms
(+ x (* (* z (- y x)) (/ 1 t)))
7.0ms
(* z (- y x))
20.0ms
(* (* z (- y x)) (/ 1 t))

series129.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(+ x (* (* z (- y x)) (/ 1 t)))
35.0ms
(* z (- y x))
52.0ms
(* (* z (- y x)) (/ 1 t))

simplify89.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
06731081
13359851
25001801

prune187.0ms

Filtered
163 candidates to 91 candidates (55.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1630163
Fresh033
Picked011
Done022
Total1636169

Merged error: 0b

Counts
169 → 6

regimes107.0ms

Accuracy

8.1% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 2.1b

bsearch64.0ms

Steps
ItersRangePoint
7
4.5669095097552676e-182
5.8218956722497675e-180
2.57404735804438e-180
8
-7.613799283538981e-295
-2.634901145462478e-297
-8.423431261966075e-297

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0238
1238

end0.0ms

sample542.0ms

Algorithm
intervals
Results
279.0ms10591×body80valid