Details

Time bar (total: 7.9s)

sample20.0ms

Algorithm
intervals
Results
8.0ms280×body80valid

simplify30.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0204
1464
2884
31384
41884
52364
62604
72634
82634

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: 6.4b

Counts
2 → 2

localize10.0ms

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
36×add-sqr-sqrt
34×*-un-lft-identity
33×times-frac
32×add-cube-cbrt
18×prod-diff
13×add-exp-log add-cbrt-cube
11×distribute-rgt-in distribute-lft-in
7×associate-/r*
5×cbrt-undiv div-exp associate-*r* div-inv
4×pow1
3×associate-*l* associate-/l*
2×expm1-log1p-u sub-neg associate-*r/ prod-exp cbrt-unprod log1p-expm1-u 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 → 96
Calls
2 calls:
7.0ms
(* z (- y t))
7.0ms
(/ x (/ (* z (- y t)) 2.0))

series82.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* z (- y t))
44.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify54.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0433735
11861559
25001556

prune177.0ms

Filtered
102 candidates to 63 candidates (61.8%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New966102
Fresh011
Picked101
Done000
Total977104

Merged error: 0.0b

Counts
104 → 7

localize13.0ms

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))))

rewrite136.0ms

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×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×associate-/r/
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 347
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
106.0ms
(* (/ (* (cbrt x) (cbrt x)) (/ z (sqrt 2.0))) (/ (cbrt x) (/ (- y t) (sqrt 2.0))))

series894.0ms

Counts
4 → 12
Calls
4 calls:
322.0ms
(cbrt x)
181.0ms
(cbrt x)
179.0ms
(cbrt x)
211.0ms
(* (/ (* (cbrt x) (cbrt x)) (/ z (sqrt 2.0))) (/ (cbrt x) (/ (- y t) (sqrt 2.0))))

simplify78.0ms

Algorithm
egg-herbie
Counts
359 → 359
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
017395065
150014787

prune822.0ms

Filtered
359 candidates to 218 candidates (60.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New3581359
Fresh066
Picked011
Done000
Total3588366

Merged error: 0b

Counts
366 → 8

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite40.0ms

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 expm1-log1p-u frac-2neg clear-num associate-/r/ log1p-expm1-u associate-/l/ add-log-exp
Counts
1 → 301
Calls
1 calls:
13.0ms
(/ (/ x z) (/ (- y t) 2.0))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(/ (/ x z) (/ (- y t) 2.0))

simplify71.0ms

Algorithm
egg-herbie
Counts
304 → 304
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
015663649
150013557

prune635.0ms

Filtered
304 candidates to 219 candidates (72.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New3031304
Fresh246
Picked011
Done011
Total3057312

Merged error: 0b

Counts
312 → 7

localize15.0ms

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)))

rewrite241.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 1022
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
18.0ms
(/ (/ x (cbrt z)) (/ (- y t) 2.0))
117.0ms
(* (/ 1 (* (cbrt z) (cbrt z))) (/ (/ x (cbrt z)) (/ (- y t) 2.0)))

series633.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(cbrt z)
187.0ms
(cbrt z)
175.0ms
(/ (/ x (cbrt z)) (/ (- y t) 2.0))
69.0ms
(* (/ 1 (* (cbrt z) (cbrt z))) (/ (/ x (cbrt z)) (/ (- y t) 2.0)))

simplify225.0ms

Algorithm
egg-herbie
Counts
1034 → 1034
Iterations

Useful iterations: 1 (77.0ms)

IterNodesCost
0447414306
1500214088

prune2.8s

Filtered
1034 candidates to 766 candidates (74.1%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New103401034
Fresh044
Picked011
Done022
Total103471041

Merged error: 0b

Counts
1041 → 7

regimes334.0ms

Accuracy

83.2% (0.9b remaining)

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

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03633
13633

end0.0ms

sample498.0ms

Algorithm
intervals
Results
265.0ms8680×body80valid