Details

Time bar (total: 23.5s)

sample509.0ms

Algorithm
intervals
Results
170.0ms44×body5120valid
164.0ms76×body2560valid
86.0ms117×body1280valid
32.0ms66×body640valid
11.0ms33×body320valid
8.0ms71×body80valid
3.0ms13×body160valid

simplify25.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (24.0ms)

IterNodesCost
04413
114713
285712
3500211

prune21.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 42.9b

Counts
2 → 2

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (/ k t) 2.0)
1.2b
(* (pow t 3.0) (tan k))
21.7b
(/ (* 2.0 (* l l)) (* (* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k))) (sin k)))
33.5b
(* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
337×add-exp-log
220×prod-exp
71×div-exp
65×add-cbrt-cube
51×pow-exp
34×pow-to-exp cbrt-unprod
30×unpow-prod-down
28×add-sqr-sqrt
24×associate-*l*
23×add-cube-cbrt *-un-lft-identity
19×times-frac
12×cbrt-undiv
5×pow1 associate-*r/
4×associate-*r* add-log-exp sqr-pow
3×tan-quot pow-unpow div-inv unswap-sqr
2×*-commutative
1×pow-pow frac-2neg associate-*l/ clear-num associate-/r* associate-/r/ associate-/l*
Counts
4 → 179
Calls
4 calls:
4.0ms
(pow (/ k t) 2.0)
5.0ms
(* (pow t 3.0) (tan k))
16.0ms
(/ (* 2.0 (* l l)) (* (* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k))) (sin k)))
10.0ms
(* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k)))

series238.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(pow (/ k t) 2.0)
52.0ms
(* (pow t 3.0) (tan k))
106.0ms
(/ (* 2.0 (* l l)) (* (* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k))) (sin k)))
68.0ms
(* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k)))

simplify43.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
011232068
150021738

prune1.1s

Filtered
191 candidates to 93 candidates (51.3%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New18011191
Fresh011
Picked101
Done000
Total18112193

Merged error: 31.9b

Counts
193 → 12

localize20.0ms

Local error

Found 4 expressions with local error:

1.2b
(* (pow t 3.0) (tan k))
18.4b
(* (pow (/ k t) (/ 2.0 2)) (* (pow (/ k t) (/ 2.0 2)) (* (pow t 3.0) (tan k))))
21.7b
(/ (* 2.0 (* l l)) (* (* (pow (/ k t) (/ 2.0 2)) (* (pow (/ k t) (/ 2.0 2)) (* (pow t 3.0) (tan k)))) (sin k)))
22.4b
(* (pow (/ k t) (/ 2.0 2)) (* (pow t 3.0) (tan k)))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
1610×add-exp-log
1168×prod-exp
346×div-exp
341×pow-exp
205×pow-to-exp
95×add-cbrt-cube
55×cbrt-unprod
41×associate-*l*
30×unpow-prod-down
28×add-sqr-sqrt
23×add-cube-cbrt *-un-lft-identity
19×times-frac
15×cbrt-undiv
9×associate-*r/
5×associate-*r*
4×tan-quot pow1 add-log-exp sqr-pow
3×*-commutative div-inv unswap-sqr
1×frac-2neg associate-*l/ clear-num associate-/r* associate-/r/ associate-/l*
Counts
4 → 408
Calls
4 calls:
5.0ms
(* (pow t 3.0) (tan k))
16.0ms
(* (pow (/ k t) (/ 2.0 2)) (* (pow (/ k t) (/ 2.0 2)) (* (pow t 3.0) (tan k))))
30.0ms
(/ (* 2.0 (* l l)) (* (* (pow (/ k t) (/ 2.0 2)) (* (pow (/ k t) (/ 2.0 2)) (* (pow t 3.0) (tan k)))) (sin k)))
10.0ms
(* (pow (/ k t) (/ 2.0 2)) (* (pow t 3.0) (tan k)))

series292.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* (pow t 3.0) (tan k))
66.0ms
(* (pow (/ k t) (/ 2.0 2)) (* (pow (/ k t) (/ 2.0 2)) (* (pow t 3.0) (tan k))))
109.0ms
(/ (* 2.0 (* l l)) (* (* (pow (/ k t) (/ 2.0 2)) (* (pow (/ k t) (/ 2.0 2)) (* (pow t 3.0) (tan k)))) (sin k)))
65.0ms
(* (pow (/ k t) (/ 2.0 2)) (* (pow t 3.0) (tan k)))

simplify79.0ms

Algorithm
egg-herbie
Counts
420 → 420
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
017716487
150025612

prune1.8s

Filtered
420 candidates to 110 candidates (73.8%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New4173420
Fresh2911
Picked011
Done000
Total41913432

Merged error: 31.9b

Counts
432 → 13

localize24.0ms

Local error

Found 4 expressions with local error:

22.4b
(* (pow (/ k t) (/ 2.0 2)) (* (* (cbrt (* (pow t 3.0) (tan k))) (cbrt (* (pow t 3.0) (tan k)))) (cbrt (* (pow t 3.0) (tan k)))))
41.2b
(cbrt (* (pow t 3.0) (tan k)))
41.2b
(cbrt (* (pow t 3.0) (tan k)))
41.2b
(cbrt (* (pow t 3.0) (tan k)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log
25×associate-*r/
24×prod-exp
17×associate-*l*
15×tan-quot cbrt-div
13×unpow-prod-down
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac add-cbrt-cube
6×pow-exp cbrt-unprod
5×frac-times associate-*l/
4×pow1 add-log-exp
3×cbrt-prod pow-to-exp pow1/3 div-exp
1×associate-*r* *-commutative div-inv sqr-pow
Counts
4 → 78
Calls
4 calls:
18.0ms
(* (pow (/ k t) (/ 2.0 2)) (* (* (cbrt (* (pow t 3.0) (tan k))) (cbrt (* (pow t 3.0) (tan k)))) (cbrt (* (pow t 3.0) (tan k)))))
4.0ms
(cbrt (* (pow t 3.0) (tan k)))
4.0ms
(cbrt (* (pow t 3.0) (tan k)))
4.0ms
(cbrt (* (pow t 3.0) (tan k)))

series254.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* (pow (/ k t) (/ 2.0 2)) (* (* (cbrt (* (pow t 3.0) (tan k))) (cbrt (* (pow t 3.0) (tan k)))) (cbrt (* (pow t 3.0) (tan k)))))
61.0ms
(cbrt (* (pow t 3.0) (tan k)))
63.0ms
(cbrt (* (pow t 3.0) (tan k)))
64.0ms
(cbrt (* (pow t 3.0) (tan k)))

simplify48.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
05401366
116011176
250021076

prune1.1s

Filtered
90 candidates to 68 candidates (24.4%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New89190
Fresh11011
Picked101
Done011
Total9112103

Merged error: 31.9b

Counts
103 → 12

localize29.0ms

Local error

Found 4 expressions with local error:

22.4b
(* (pow (/ k t) (/ 2.0 2)) (* (* (cbrt (* (pow t 3.0) (tan k))) (cbrt (* (pow t 3.0) (tan k)))) (* (cbrt (pow t 3.0)) (cbrt (tan k)))))
41.2b
(cbrt (* (pow t 3.0) (tan k)))
41.2b
(cbrt (* (pow t 3.0) (tan k)))
42.0b
(cbrt (pow t 3.0))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
76×add-exp-log
52×prod-exp
24×associate-*r/
17×associate-*l*
16×unpow-prod-down
14×tan-quot add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity add-cbrt-cube
13×cbrt-unprod
10×pow-exp
9×cbrt-prod times-frac
5×frac-times pow-to-exp div-exp associate-*l/
4×pow1 add-log-exp
3×pow1/3
2×sqr-pow
1×associate-*r* *-commutative div-inv
Counts
4 → 93
Calls
4 calls:
23.0ms
(* (pow (/ k t) (/ 2.0 2)) (* (* (cbrt (* (pow t 3.0) (tan k))) (cbrt (* (pow t 3.0) (tan k)))) (* (cbrt (pow t 3.0)) (cbrt (tan k)))))
4.0ms
(cbrt (* (pow t 3.0) (tan k)))
4.0ms
(cbrt (* (pow t 3.0) (tan k)))
2.0ms
(cbrt (pow t 3.0))

series248.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* (pow (/ k t) (/ 2.0 2)) (* (* (cbrt (* (pow t 3.0) (tan k))) (cbrt (* (pow t 3.0) (tan k)))) (* (cbrt (pow t 3.0)) (cbrt (tan k)))))
61.0ms
(cbrt (* (pow t 3.0) (tan k)))
63.0ms
(cbrt (* (pow t 3.0) (tan k)))
57.0ms
(cbrt (pow t 3.0))

simplify72.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
06941631
124991431
250021382

prune1.3s

Filtered
105 candidates to 74 candidates (29.5%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1041105
Fresh1910
Picked011
Done011
Total10512117

Merged error: 31.9b

Counts
117 → 12

regimes770.0ms

Accuracy

59.6% (3.1b remaining)

Error of 32.6b against oracle of 29.5b and baseline of 37.1b

bsearch729.0ms

Steps
ItersRangePoint
5
8.704492508320105e-127
2.793373508968974e-126
2.7538461404353696e-126
10
-2.254092139713848e-294
-9.851383209253406e-306
-9.956268043813874e-306
12
-6.140468044870857e-67
-1.2013443939417194e-107
-1.3025908265563533e-107

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09684
19684

end0.0ms

sample14.4s

Algorithm
intervals
Results
4.4s2266×body2560valid
4.1s942×body5120valid
3.1s4021×body1280valid
1.3s2527×body640valid
578.0ms1000×body320valid
251.0ms2039×body80valid
114.0ms451×body160valid

Profiling

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