Details

Time bar (total: 14.6s)

sample121.0ms

Algorithm
intervals
Results
42.0ms62×body1280valid
32.0ms63×body640valid
19.0ms186×body80valid
8.0ms26×body320valid
3.0ms13×body160valid

simplify30.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 30.6b

Counts
2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

2.7b
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
3.4b
(* (/ (pow t 3.0) (* l l)) (sin k))
11.2b
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
15.8b
(/ (pow t 3.0) (* l l))

rewrite61.0ms

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:
11.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
9.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
28.0ms
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
6.0ms
(/ (pow t 3.0) (* l l))

series1.4s

Counts
4 → 12
Calls
4 calls:
324.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
250.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
642.0ms
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
186.0ms
(/ (pow t 3.0) (* l l))

simplify123.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
08011619
146461348
250021348

prune471.0ms

Filtered
156 candidates to 93 candidates (59.6%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New14511156
Fresh000
Picked101
Done000
Total14611157

Merged error: 16.1b

Counts
157 → 11

localize31.0ms

Local error

Found 4 expressions with local error:

2.7b
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
4.1b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
7.6b
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
11.2b
(* (* (* (/ (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))

rewrite84.0ms

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:
21.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
11.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin 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))

series1.6s

Counts
4 → 12
Calls
4 calls:
364.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
249.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
198.0ms
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
749.0ms
(* (* (* (/ (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 (32.0ms)

IterNodesCost
013473795
150013312

prune1.2s

Filtered
241 candidates to 150 candidates (62.2%)
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New22813241
Fresh2810
Picked101
Done000
Total23121252

Merged error: 10.5b

Counts
252 → 21

localize25.0ms

Local error

Found 4 expressions with local error:

0.9b
(* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
2.7b
(* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
4.1b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
11.2b
(* (* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
1050×add-exp-log
734×prod-exp
255×div-exp
151×add-cbrt-cube
145×pow-to-exp pow-exp
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 → 366
Calls
4 calls:
19.0ms
(* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
24.0ms
(* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
11.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
45.0ms
(* (* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

series1.6s

Counts
4 → 12
Calls
4 calls:
284.0ms
(* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
352.0ms
(* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
237.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
729.0ms
(* (* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

simplify86.0ms

Algorithm
egg-herbie
Counts
378 → 378
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
014796579
150015389

prune847.0ms

Filtered
378 candidates to 137 candidates (36.2%)
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New3699378
Fresh71320
Picked101
Done000
Total37722399

Merged error: 10.5b

Counts
399 → 22

localize30.0ms

Local error

Found 4 expressions with local error:

10.1b
(cbrt (* (/ (pow (cbrt t) 3.0) l) (sin k)))
10.1b
(cbrt (* (/ (pow (cbrt t) 3.0) l) (sin k)))
10.1b
(cbrt (* (/ (pow (cbrt t) 3.0) l) (sin k)))
11.2b
(* (* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (* (cbrt (* (/ (pow (cbrt t) 3.0) l) (sin k))) (cbrt (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (cbrt (* (/ (pow (cbrt t) 3.0) l) (sin k))))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
289×associate-*l/
246×add-exp-log
209×frac-times
195×prod-exp
147×cbrt-div
131×associate-*r/
51×add-cbrt-cube
48×tan-quot
45×cbrt-unprod
32×flip3-+ flip-+
27×div-exp
24×pow1
21×pow-to-exp pow-exp
15×pow-prod-down
10×*-un-lft-identity
5×add-sqr-sqrt add-cube-cbrt associate-*r*
4×add-log-exp
3×cbrt-undiv cbrt-prod pow1/3 distribute-lft-out
1×distribute-rgt-in distribute-lft-in associate-*l* *-commutative
Counts
4 → 198
Calls
4 calls:
7.0ms
(cbrt (* (/ (pow (cbrt t) 3.0) l) (sin k)))
7.0ms
(cbrt (* (/ (pow (cbrt t) 3.0) l) (sin k)))
7.0ms
(cbrt (* (/ (pow (cbrt t) 3.0) l) (sin k)))
48.0ms
(* (* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (* (cbrt (* (/ (pow (cbrt t) 3.0) l) (sin k))) (cbrt (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (cbrt (* (/ (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:
281.0ms
(cbrt (* (/ (pow (cbrt t) 3.0) l) (sin k)))
280.0ms
(cbrt (* (/ (pow (cbrt t) 3.0) l) (sin k)))
279.0ms
(cbrt (* (/ (pow (cbrt t) 3.0) l) (sin k)))
727.0ms
(* (* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (* (cbrt (* (/ (pow (cbrt t) 3.0) l) (sin k))) (cbrt (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (cbrt (* (/ (pow (cbrt t) 3.0) l) (sin k))))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

simplify95.0ms

Algorithm
egg-herbie
Counts
210 → 210
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
019997385
150015993

prune720.0ms

Filtered
210 candidates to 110 candidates (52.4%)
Pruning

26 alts after pruning (26 fresh and 0 done)

PrunedKeptTotal
New2046210
Fresh12021
Picked101
Done000
Total20626232

Merged error: 9.6b

Counts
232 → 26

regimes733.0ms

Accuracy

1.7% (7.5b remaining)

Error of 17.0b against oracle of 9.5b and baseline of 17.1b

bsearch3.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
098117
198117

end0.0ms

sample3.5s

Algorithm
intervals
Results
1.4s2035×body1280valid
795.0ms1702×body640valid
609.0ms5913×body80valid
278.0ms832×body320valid
104.0ms431×body160valid