Details

Time bar (total: 8.6s)

sample20.0ms

Algorithm
intervals
Results
8.0ms280×body80valid

simplify23.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0194
1444
2824
31324
41754
52084
62214
72214

prune7.0ms

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: 6.4b

Counts
2 → 2

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
6.3b
(/ x (/ (* z (- y t)) 2.0))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
33×times-frac
24×add-sqr-sqrt
22×*-un-lft-identity
20×add-cube-cbrt
13×add-exp-log add-cbrt-cube
7×associate-/r*
5×cbrt-undiv div-exp associate-*r* div-inv
4×pow1
3×associate-*l* associate-/l*
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ prod-exp cbrt-unprod add-log-exp
1×flip3-- frac-2neg pow-prod-down clear-num associate-/r/ *-commutative flip-- distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 74
Calls
2 calls:
6.0ms
(* z (- y t))
8.0ms
(/ x (/ (* z (- y t)) 2.0))

series91.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(* z (- y t))
49.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify48.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0353467
11535417
25001414

prune185.0ms

Filtered
80 candidates to 57 candidates (71.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New74680
Fresh011
Picked101
Done000
Total75782

Merged error: 0.0b

Counts
82 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)
5.2b
(* (/ (* (cbrt x) (cbrt x)) (/ z (sqrt 2.0))) (/ (cbrt x) (/ (- y t) (sqrt 2.0))))

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
499×times-frac
374×add-sqr-sqrt
264×*-un-lft-identity
209×associate-*r*
192×add-cube-cbrt
123×cbrt-prod
114×sqrt-prod
73×add-exp-log
51×add-cbrt-cube
36×distribute-lft-out-- difference-of-squares
33×cbrt-undiv div-exp
28×unswap-sqr
27×associate-*l*
21×prod-exp cbrt-unprod
9×div-inv
6×pow1
4×add-log-exp
3×pow1/3
2×associate-/r/
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 339
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
115.0ms
(* (/ (* (cbrt x) (cbrt x)) (/ z (sqrt 2.0))) (/ (cbrt x) (/ (- y t) (sqrt 2.0))))

series818.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(cbrt x)
192.0ms
(cbrt x)
192.0ms
(cbrt x)
232.0ms
(* (/ (* (cbrt x) (cbrt x)) (/ z (sqrt 2.0))) (/ (cbrt x) (/ (- y t) (sqrt 2.0))))

simplify83.0ms

Algorithm
egg-herbie
Counts
351 → 351
Iterations

Useful iterations: 1 (41.0ms)

IterNodesCost
017355027
150024749

prune880.0ms

Filtered
351 candidates to 210 candidates (59.8%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New3501351
Fresh066
Picked011
Done000
Total3508358

Merged error: 0b

Counts
358 → 8

localize7.0ms

Local error

Found 1 expressions with local error:

6.1b
(/ (/ x z) (/ (- y t) 2.0))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
637×times-frac
351×add-sqr-sqrt *-un-lft-identity
267×add-cube-cbrt
42×distribute-lft-out-- difference-of-squares
35×div-inv
19×associate-/r*
13×add-exp-log add-cbrt-cube associate-/l*
8×cbrt-undiv div-exp
1×pow1 frac-2neg clear-num associate-/r/ associate-/l/ add-log-exp
Counts
1 → 299
Calls
1 calls:
19.0ms
(/ (/ x z) (/ (- y t) 2.0))

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(/ (/ x z) (/ (- y t) 2.0))

simplify74.0ms

Algorithm
egg-herbie
Counts
302 → 302
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
015643639
150013547

prune721.0ms

Filtered
302 candidates to 217 candidates (71.9%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New3011302
Fresh246
Picked011
Done011
Total3037310

Merged error: 0b

Counts
310 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
1.4b
(/ (/ x (cbrt z)) (/ (- y t) 2.0))
4.1b
(* (/ 1 (* (cbrt z) (cbrt z))) (/ (/ x (cbrt z)) (/ (- y t) 2.0)))

rewrite485.0ms

Algorithm
rewrite-expression-head
Rules
2269×times-frac
1265×add-sqr-sqrt
1198×*-un-lft-identity
921×add-cube-cbrt
423×associate-*r*
363×cbrt-prod
167×add-exp-log
135×distribute-lft-out-- difference-of-squares
87×div-inv
84×div-exp
67×add-cbrt-cube
50×prod-exp
42×cbrt-undiv
22×associate-/l*
21×unswap-sqr
20×cbrt-unprod
19×associate-/r*
10×rec-exp 1-exp
7×associate-*l*
6×pow1
4×add-log-exp
2×pow1/3 associate-/r/
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
4 → 1014
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
20.0ms
(/ (/ x (cbrt z)) (/ (- y t) 2.0))
348.0ms
(* (/ 1 (* (cbrt z) (cbrt z))) (/ (/ x (cbrt z)) (/ (- y t) 2.0)))

series629.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt z)
181.0ms
(cbrt z)
177.0ms
(/ (/ x (cbrt z)) (/ (- y t) 2.0))
87.0ms
(* (/ 1 (* (cbrt z) (cbrt z))) (/ (/ x (cbrt z)) (/ (- y t) 2.0)))

simplify229.0ms

Algorithm
egg-herbie
Counts
1026 → 1026
Iterations

Useful iterations: 1 (88.0ms)

IterNodesCost
0446814264
1500114046

prune3.1s

Filtered
1026 candidates to 758 candidates (73.9%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New102601026
Fresh044
Picked011
Done022
Total102671033

Merged error: 0b

Counts
1033 → 7

regimes344.0ms

Accuracy

83.2% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 5.3b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03633
13633

end0.0ms

sample499.0ms

Algorithm
intervals
Results
279.0ms8680×body80valid