Details

Time bar (total: 3.3s)

sample20.0ms

Algorithm
intervals
Results
8.0ms333×body80valid

simplify109.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1254
2454
3844
41254
51494
61704
72844
84914
98244
1013444
1125764
1238734
1350014

prune5.0ms

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: 9.0b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (/ (* y (- z x)) t))
8.9b
(/ (* y (- z x)) t)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
add-cube-cbrt
pow1 associate-*r* add-log-exp
associate-*r/
times-frac associate-*l* associate-/r*
cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/
+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 61
Calls
3 calls:
6.0ms
(* y (- z x))
4.0ms
(+ x (/ (* y (- z x)) t))
7.0ms
(/ (* y (- z x)) t)

series119.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(* y (- z x))
39.0ms
(+ x (/ (* y (- z x)) t))
46.0ms
(/ (* y (- z x)) t)

simplify41.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0290325
11223280
25001280

prune328.0ms

Filtered
70 candidates to 45 candidates (64.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New63770
Fresh000
Picked011
Done000
Total63871

Merged error: 0.0b

Counts
71 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.5b
(cbrt t)
0.5b
(cbrt t)
6.5b
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
prod-exp cbrt-unprod
cbrt-undiv div-exp associate-*l*
pow1 distribute-lft-out-- difference-of-squares unswap-sqr
add-log-exp
pow1/3
div-inv
frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
24.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series607.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt t)
172.0ms
(cbrt t)
173.0ms
(cbrt t)
90.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

simplify68.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0480918
12615741
25001706

prune269.0ms

Filtered
116 candidates to 88 candidates (75.9%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1160116
Fresh066
Picked011
Done011
Total1168124

Merged error: 0.0b

Counts
124 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- z x))
0.0b
(+ x (/ y (/ t (- z x))))
5.1b
(/ y (/ t (- z x)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
105×*-un-lft-identity
103×add-sqr-sqrt
71×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-exp-log add-cbrt-cube
div-inv associate-/l*
flip3-- flip-- add-log-exp
cbrt-undiv div-exp
pow1
frac-2neg clear-num
+-commutative flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 151
Calls
3 calls:
5.0ms
(/ t (- z x))
23.0ms
(+ x (/ y (/ t (- z x))))
9.0ms
(/ y (/ t (- z x)))

series118.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ t (- z x))
40.0ms
(+ x (/ y (/ t (- z x))))
51.0ms
(/ y (/ t (- z x)))

simplify69.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05391150
123681110
250011107

prune317.0ms

Filtered
160 candidates to 119 candidates (74.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1573160
Fresh325
Picked101
Done022
Total1617168

Merged error: 0.0b

Counts
168 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (/ y t) (- z x)))
8.5b
(* (/ y t) (- z x))

rewrite15.0ms

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-+r+ 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:
3.0ms
(+ x (* (/ y t) (- z x)))
9.0ms
(* (/ y t) (- z x))

series87.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ x (* (/ y t) (- z x)))
54.0ms
(* (/ y t) (- z x))

simplify39.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0315335
11214299
25002299

prune95.0ms

Filtered
63 candidates to 41 candidates (65.1%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New62163
Fresh044
Picked011
Done022
Total62870

Merged error: 0b

Counts
70 → 8

regimes194.0ms

Accuracy

-15.5% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 1.8b

bsearch68.0ms

Steps
ItersRangePoint
6
1.8552091842913663e-40
1.4156516900055138e-39
5.6454637165102465e-40
10
-2.612645209590514e-104
-1.5973691586942312e-114
-2.2957592001103627e-111

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0248
1248

end0.0ms

sample570.0ms

Algorithm
intervals
Results
291.0ms10631×body80valid