Details

Time bar (total: 7.5s)

sample423.0ms

Algorithm
intervals
Results
99.0ms31×body2560valid
32.0ms59×body1280valid
11.0ms32×body640valid
6.0ms128×body80valid
1.0ms8×body320valid
1.0ms10×body160valid

simplify22.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0187
1397
2767
31147
41377
51447
61447

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: 17.0b

Counts
2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.3b
(/ 1.0 (* F F))
3.4b
(* (/ 1.0 (* F F)) (tan (* PI l)))
32.7b
(tan (* PI l))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
17×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
10×associate-*l*
8×pow1
7×times-frac
6×associate-*r* prod-exp cbrt-unprod
4×cbrt-undiv div-exp add-log-exp
3×tan-quot associate-/l* unswap-sqr
2×pow-prod-down *-commutative div-inv
1×frac-times frac-2neg associate-*r/ associate-*l/ clear-num associate-/r*
Counts
4 → 77
Calls
4 calls:
3.0ms
(* PI l)
4.0ms
(/ 1.0 (* F F))
10.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
3.0ms
(tan (* PI l))

series254.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* PI l)
25.0ms
(/ 1.0 (* F F))
137.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
72.0ms
(tan (* PI l))

simplify46.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0323443
11416374
25001374

prune215.0ms

Filtered
89 candidates to 61 candidates (68.5%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New751489
Fresh000
Picked011
Done000
Total751590

Merged error: 13.3b

Counts
90 → 15

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.3b
(* PI l)
0.3b
(* (/ 1.0 F) (tan (* PI l)))
32.7b
(tan (* PI l))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
19×associate-*l*
16×add-cube-cbrt *-un-lft-identity
13×add-exp-log add-cbrt-cube
10×pow1 times-frac
9×associate-*r*
4×prod-exp cbrt-unprod add-log-exp unswap-sqr
3×tan-quot pow-prod-down *-commutative
1×cbrt-undiv frac-times associate-*r/ div-exp associate-*l/ div-inv
Counts
4 → 78
Calls
4 calls:
3.0ms
(* PI l)
4.0ms
(* PI l)
7.0ms
(* (/ 1.0 F) (tan (* PI l)))
2.0ms
(tan (* PI l))

series227.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* PI l)
20.0ms
(* PI l)
123.0ms
(* (/ 1.0 F) (tan (* PI l)))
65.0ms
(tan (* PI l))

simplify89.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0277382
11009342
23834341
35001341

prune238.0ms

Filtered
90 candidates to 64 candidates (71.1%)
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New781290
Fresh31013
Picked101
Done101
Total8322105

Merged error: 13.2b

Counts
105 → 22

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F)))
0.3b
(* PI l)
0.3b
(* PI l)
32.7b
(tan (* PI l))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
47×add-exp-log
29×add-cbrt-cube
22×prod-exp
19×add-sqr-sqrt associate-*l*
15×add-cube-cbrt *-un-lft-identity
13×pow1
12×cbrt-unprod
10×div-exp
9×times-frac
7×associate-*r*
5×cbrt-undiv pow-prod-down
4×add-log-exp
3×rec-exp 1-exp associate-*r/ *-commutative
2×unswap-sqr
1×tan-quot frac-times associate-*l/ div-inv
Counts
4 → 89
Calls
4 calls:
10.0ms
(* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F)))
3.0ms
(* PI l)
4.0ms
(* PI l)
2.0ms
(tan (* PI l))

series241.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F)))
19.0ms
(* PI l)
20.0ms
(* PI l)
66.0ms
(tan (* PI l))

simplify57.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0406553
12199441
25002434

prune209.0ms

Filtered
101 candidates to 61 candidates (60.4%)
Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New1010101
Fresh02121
Picked011
Done000
Total10122123

Merged error: 13.2b

Counts
123 → 22

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ 1.0 F) (tan (* (sqrt PI) (* (sqrt PI) l))))
1.0b
(sqrt PI)
1.0b
(sqrt PI)
32.8b
(tan (* (sqrt PI) (* (sqrt PI) l)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
13×associate-*l*
10×times-frac
9×add-exp-log add-cbrt-cube
8×pow1
6×sqrt-prod
4×add-log-exp
3×tan-quot associate-*r*
2×rem-sqrt-square sqrt-pow1 pow1/2 prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv frac-times associate-*r/ div-exp pow-prod-down associate-*l/ *-commutative div-inv
Counts
4 → 68
Calls
4 calls:
8.0ms
(* (/ 1.0 F) (tan (* (sqrt PI) (* (sqrt PI) l))))
2.0ms
(sqrt PI)
2.0ms
(sqrt PI)
3.0ms
(tan (* (sqrt PI) (* (sqrt PI) l)))

series198.0ms

Counts
4 → 8
Calls
4 calls:
129.0ms
(* (/ 1.0 F) (tan (* (sqrt PI) (* (sqrt PI) l))))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)
68.0ms
(tan (* (sqrt PI) (* (sqrt PI) l)))

simplify78.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0257501
1854442
23330439
35001439

prune175.0ms

Filtered
76 candidates to 58 candidates (76.3%)
Pruning

25 alts after pruning (23 fresh and 2 done)

PrunedKeptTotal
New73376
Fresh02020
Picked011
Done011
Total732598

Merged error: 13.2b

Counts
98 → 25

regimes477.0ms

Accuracy

0% (0.2b remaining)

Error of 12.6b against oracle of 12.3b and baseline of 12.6b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0178
1178

end0.0ms

sample4.4s

Algorithm
intervals
Results
2.7s894×body2560valid
962.0ms1730×body1280valid
250.0ms931×body640valid
221.0ms4525×body80valid
64.0ms368×body320valid
21.0ms182×body160valid
2.0ms5×body5120exit