Details

Time bar (total: 22.6s)

sample147.0ms

Algorithm
intervals
Results
69.0ms83×body1280valid
22.0ms197×body80valid
21.0ms39×body640valid
9.0ms24×body320valid
3.0ms10×body160valid

simplify30.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04813
115813
290313
3500113

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.4b

localize29.0ms

Local error

Found 4 expressions with local error:

2.7b
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
3.7b
(* (/ (pow t 3.0) (* l l)) (sin k))
12.9b
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
16.4b
(/ (pow t 3.0) (* l l))

rewrite638.0ms

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:
77.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
33.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
510.0ms
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
12.0ms
(/ (pow t 3.0) (* l l))

series1.4s

Counts
4 → 12
Calls
4 calls:
320.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
246.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
636.0ms
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
183.0ms
(/ (pow t 3.0) (* l l))

simplify127.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
08011619
146461348
250021348

prune519.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 18.2b

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))
4.7b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
8.0b
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
12.9b
(* (* (* (/ (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))

rewrite924.0ms

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:
143.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
31.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
9.0ms
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
727.0ms
(* (* (* (/ (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:
364.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
235.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
196.0ms
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
730.0ms
(* (* (* (/ (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))

simplify58.0ms

Algorithm
egg-herbie
Counts
241 → 241
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
013473795
150013312

prune1.1s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 11.7b

localize34.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (cbrt t) 3.0)
2.7b
(* (* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
4.7b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
12.9b
(* (* (* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

rewrite3.2s

Algorithm
rewrite-expression-head
Rules
2085×add-exp-log
1365×prod-exp
627×div-exp
253×add-cbrt-cube
210×pow-to-exp pow-exp
187×cbrt-unprod
116×associate-*l/
98×frac-times
57×cbrt-undiv
50×pow1
43×add-sqr-sqrt
36×associate-*l*
35×*-un-lft-identity
34×times-frac
33×pow-prod-down
32×tan-quot
30×add-cube-cbrt associate-*r/
26×unpow-prod-down
16×flip3-+ flip-+
13×cbrt-prod
11×associate-*r*
5×unswap-sqr sqr-pow
4×add-log-exp
3×pow-unpow *-commutative distribute-lft-out
2×pow-pow
1×distribute-rgt-in distribute-lft-in pow1/3 div-inv
Counts
4 → 518
Calls
4 calls:
3.0ms
(pow (cbrt t) 3.0)
591.0ms
(* (* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
31.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
2.5s
(* (* (* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt 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:
321.0ms
(pow (cbrt t) 3.0)
380.0ms
(* (* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
249.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
747.0ms
(* (* (* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

simplify143.0ms

Algorithm
egg-herbie
Counts
530 → 530
Iterations

Useful iterations: 1 (44.0ms)

IterNodesCost
0257512401
1500111768

prune1.7s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 11.3b

localize33.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (cbrt t) 3.0)
0.7b
(pow (cbrt t) 3.0)
4.7b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
15.3b
(* (* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (* (tan k) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0)))

rewrite957.0ms

Algorithm
rewrite-expression-head
Rules
2084×add-exp-log
1364×prod-exp
627×div-exp
251×add-cbrt-cube
211×pow-to-exp pow-exp
186×cbrt-unprod
81×frac-times
70×associate-*l/
57×cbrt-undiv
49×pow1
44×add-sqr-sqrt
39×associate-*r/
35×associate-*l*
34×times-frac
32×unpow-prod-down pow-prod-down
31×add-cube-cbrt *-un-lft-identity
24×tan-quot
16×cbrt-prod flip3-+ flip-+
6×pow-unpow sqr-pow
5×unswap-sqr
4×distribute-rgt-in pow-pow distribute-lft-in associate-*r* add-log-exp
2×pow1/3 *-commutative
1×div-inv
Counts
4 → 507
Calls
4 calls:
3.0ms
(pow (cbrt t) 3.0)
4.0ms
(pow (cbrt t) 3.0)
31.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
853.0ms
(* (* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt 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:
312.0ms
(pow (cbrt t) 3.0)
313.0ms
(pow (cbrt t) 3.0)
231.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
712.0ms
(* (* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (* (tan k) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0)))

simplify142.0ms

Algorithm
egg-herbie
Counts
519 → 519
Iterations

Useful iterations: 1 (39.0ms)

IterNodesCost
0248312953
1500212820

prune1.3s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 10.8b

regimes628.0ms

Accuracy

15.8% (7.0b remaining)

Error of 17.5b against oracle of 10.5b and baseline of 18.8b

bsearch378.0ms

Steps
ItersRangePoint
7
6.477526161048875e-111
7.387063241046734e-109
6.565726687888966e-111
9
-8.398173019220788e-261
-1.4529523301294986e-269
-5.4815075938618785e-263

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07549
17549

end0.0ms

sample4.3s

Algorithm
intervals
Results
1.8s2092×body1280valid
919.0ms1661×body640valid
708.0ms5990×body80valid
362.0ms885×body320valid
112.0ms433×body160valid