Details

Time bar (total: 15.9s)

sample150.0ms

Algorithm
intervals
Results
54.0ms69×body1280valid
35.0ms59×body640valid
22.0ms174×body80valid
11.0ms31×body320valid
5.0ms21×body160valid

simplify31.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04813
115813
290313
3500113

prune4.0ms

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: 31.4b

Counts
2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

2.4b
(* (/ (pow t 3.0) (* l l)) (sin k))
3.4b
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
12.1b
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
17.8b
(/ (pow t 3.0) (* l l))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
108×add-exp-log
58×prod-exp
52×add-cbrt-cube
26×cbrt-unprod
24×div-exp
21×add-sqr-sqrt
20×pow1
19×*-un-lft-identity
17×times-frac
16×associate-*l/
14×add-cube-cbrt
13×associate-*l*
11×associate-*r*
10×frac-times unpow-prod-down pow-prod-down
8×tan-quot cbrt-undiv pow-to-exp pow-exp
7×associate-/l*
6×associate-*r/
4×flip3-+ flip-+ add-log-exp unswap-sqr sqr-pow
3×*-commutative distribute-lft-out
2×div-inv
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num associate-/r*
Counts
4 → 144
Calls
4 calls:
9.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
12.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
28.0ms
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
7.0ms
(/ (pow t 3.0) (* l l))

series1.4s

Counts
4 → 12
Calls
4 calls:
246.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
316.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
626.0ms
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
182.0ms
(/ (pow t 3.0) (* l l))

simplify126.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
08011619
146461348
250021348

prune464.0ms

Filtered
156 candidates to 93 candidates (59.6%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New14412156
Fresh000
Picked101
Done000
Total14512157

Merged error: 16.0b

Counts
157 → 12

localize27.0ms

Local error

Found 4 expressions with local error:

2.1b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
3.4b
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
8.1b
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
12.1b
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
304×add-exp-log
184×prod-exp
78×add-cbrt-cube
77×div-exp
50×add-sqr-sqrt
49×times-frac
44×associate-*l/ cbrt-unprod
42×*-un-lft-identity
37×add-cube-cbrt
36×associate-*l*
34×frac-times
33×pow-exp
29×pow1
24×unpow-prod-down
22×pow-to-exp
17×pow-prod-down
16×tan-quot
14×associate-*r/
12×cbrt-undiv
11×associate-*r*
10×cbrt-prod
8×flip3-+ flip-+ sqr-pow
5×associate-/l* unswap-sqr
4×add-log-exp
3×associate-/r* *-commutative distribute-lft-out
2×div-inv
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num
Counts
4 → 229
Calls
4 calls:
11.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
20.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
5.0ms
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
32.0ms
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

series1.5s

Counts
4 → 12
Calls
4 calls:
242.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
364.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
197.0ms
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
722.0ms
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

simplify63.0ms

Algorithm
egg-herbie
Counts
241 → 241
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
013473795
150013312

prune935.0ms

Filtered
241 candidates to 150 candidates (62.2%)
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New23110241
Fresh11011
Picked101
Done000
Total23320253

Merged error: 10.0b

Counts
253 → 20

localize35.0ms

Local error

Found 4 expressions with local error:

0.8b
(* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
2.1b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
3.4b
(* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
12.1b
(* (* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
1884×add-exp-log
1325×prod-exp
432×div-exp
334×pow-exp
199×pow-to-exp
151×add-cbrt-cube
96×cbrt-unprod
47×associate-*l/
40×add-sqr-sqrt
37×associate-*l*
35×frac-times
34×pow1 times-frac
33×associate-*r/
32×*-un-lft-identity
27×add-cube-cbrt
20×unpow-prod-down pow-prod-down
19×cbrt-undiv
16×tan-quot
12×associate-*r*
10×cbrt-prod
8×flip3-+ flip-+
5×unswap-sqr
4×*-commutative add-log-exp sqr-pow
3×distribute-lft-out
1×distribute-rgt-in distribute-lft-in div-inv
Counts
4 → 486
Calls
4 calls:
18.0ms
(* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
11.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
26.0ms
(* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
45.0ms
(* (* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

series1.7s

Counts
4 → 12
Calls
4 calls:
299.0ms
(* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
244.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
368.0ms
(* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
754.0ms
(* (* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

simplify124.0ms

Algorithm
egg-herbie
Counts
498 → 498
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
0180711224
150028512

prune1.2s

Filtered
498 candidates to 147 candidates (29.5%)
Pruning

25 alts after pruning (25 fresh and 0 done)

PrunedKeptTotal
New48810498
Fresh41519
Picked101
Done000
Total49325518

Merged error: 9.2b

Counts
518 → 25

localize38.0ms

Local error

Found 4 expressions with local error:

0.8b
(* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))))
2.1b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
3.4b
(* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k))
12.1b
(* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
1857×add-exp-log
1310×prod-exp
423×div-exp
337×pow-exp
199×pow-to-exp
124×add-cbrt-cube
78×cbrt-unprod
47×associate-*l/
42×associate-*r/
41×add-sqr-sqrt associate-*l*
35×frac-times
34×times-frac
33×*-un-lft-identity
28×add-cube-cbrt
21×unpow-prod-down
16×tan-quot cbrt-undiv
13×pow1
12×associate-*r*
10×cbrt-prod
8×flip3-+ flip-+
5×pow-prod-down unswap-sqr sqr-pow
4×*-commutative add-log-exp
3×distribute-lft-out
1×distribute-rgt-in distribute-lft-in div-inv
Counts
4 → 475
Calls
4 calls:
19.0ms
(* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))))
16.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
26.0ms
(* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k))
41.0ms
(* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

series1.6s

Counts
4 → 12
Calls
4 calls:
298.0ms
(* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))))
237.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
366.0ms
(* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k))
720.0ms
(* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

simplify127.0ms

Algorithm
egg-herbie
Counts
487 → 487
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
0177810880
150019316

prune837.0ms

Filtered
487 candidates to 146 candidates (30.0%)
Pruning

26 alts after pruning (26 fresh and 0 done)

PrunedKeptTotal
New4816487
Fresh42024
Picked101
Done000
Total48626512

Merged error: 7.5b

Counts
512 → 26

regimes700.0ms

Accuracy

4.3% (8.5b remaining)

Error of 17.3b against oracle of 8.8b and baseline of 17.7b

bsearch476.0ms

Steps
ItersRangePoint
6
1.508848310028603e+111
1.6841707667720518e+112
5.217315296812279e+111
9
2.4366564965413383e-29
2.7234947450557115e-24
5.027443275272639e-29
4
-6.636722125695528e-128
-3.912616311168891e-128
-4.6089245074072974e-128
9
-7.767129419132542e+28
-1.4866309009530871e+23
-8.977222681870842e+26

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085122
185122

end0.0ms

sample3.9s

Algorithm
intervals
Results
1.6s2192×body1280valid
870.0ms1653×body640valid
687.0ms5865×body80valid
326.0ms856×body320valid
111.0ms435×body160valid