Details

Time bar (total: 4.2s)

analyze619.0ms

Algorithm
search

sample26.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
2.0ms65×body80invalid

simplify108.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1254
2454
3844
41254
51494
61704
72844
84914
98244
1013444
1121284
1233854
1350024

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.6b

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))
6.3b
(/ (* y (- z x)) t)

rewrite18.0ms

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)

series29.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* y (- z x))
11.0ms
(+ x (/ (* y (- z x)) t))
12.0ms
(/ (* y (- z x)) t)

simplify38.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0290325
11223280
25001280

prune91.0ms

Filtered
45 candidates to 70 candidates (-55.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New62870
Fresh000
Picked101
Done000
Total63871

Merged error: 0.0b

Counts
71 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
5.0b
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite28.0ms

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)
21.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series88.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt t)
23.0ms
(cbrt t)
22.0ms
(cbrt t)
18.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

simplify60.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0500954
12500845
25001783

prune124.0ms

Filtered
85 candidates to 116 candidates (-36.5%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1151116
Fresh077
Picked101
Done000
Total1168124

Merged error: 0.0b

Counts
124 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (/ t (- z x))))
0.0b
(/ t (- z x))
6.9b
(/ y (/ t (- z x)))

rewrite41.0ms

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:
18.0ms
(+ x (/ y (/ t (- z x))))
5.0ms
(/ t (- z x))
8.0ms
(/ y (/ t (- z x)))

series30.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(+ x (/ y (/ t (- z x))))
7.0ms
(/ t (- z x))
12.0ms
(/ y (/ t (- z x)))

simplify63.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05391150
123681110
250021107

prune147.0ms

Filtered
119 candidates to 160 candidates (-34.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1573160
Fresh347
Picked011
Done000
Total1608168

Merged error: 0b

Counts
168 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (/ y t) (- z x)))
6.8b
(* (/ y t) (- z x))

rewrite14.0ms

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))

series23.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(+ x (* (/ y t) (- z x)))
12.0ms
(* (/ y t) (- z x))

simplify38.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0315335
11214299
25002299

prune47.0ms

Filtered
41 candidates to 63 candidates (-53.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New63063
Fresh066
Picked011
Done011
Total63871

Merged error: 0b

Counts
71 → 8

regimes302.0ms

Accuracy

33.3% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 2.1b

bsearch1.1s

Steps
ItersRangePoint
5
3.181100256461169e-29
6.934240710635844e-29
4.630199863548851e-29
10
-2.264405923912126e-186
-4.192229211190442e-202
-7.238149130160668e-187

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02810
12810

end0.0ms

analyze605.0ms

Algorithm
search

sample575.0ms

Algorithm
intervals
Results
258.0ms8000×body80valid
71.0ms2116×body80invalid

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