Details

Time bar (total: 16.2s)

sample123.0ms

Algorithm
intervals
Results
40.0ms59×body1280valid
28.0ms61×body640valid
24.0ms204×body80valid
9.0ms28×body320valid
4.0ms16×body160valid

simplify32.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (30.0ms)

IterNodesCost
04813
116113
294413
3500212

prune12.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 33.3b

localize21.0ms

Local error

Found 4 expressions with local error:

1.8b
(* (pow t 3.0) (sin k))
3.9b
(/ (/ 2.0 (* (pow t 3.0) (sin k))) (tan k))
6.5b
(/ (* l l) (fma 2 1.0 (pow (/ k t) 2.0)))
26.5b
(* (/ (/ 2.0 (* (pow t 3.0) (sin k))) (tan k)) (/ (* l l) (fma 2 1.0 (pow (/ k t) 2.0))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
117×add-exp-log
74×add-cbrt-cube
73×times-frac
56×add-sqr-sqrt
50×div-exp
41×add-cube-cbrt *-un-lft-identity
40×prod-exp
33×associate-*l*
30×cbrt-undiv
22×cbrt-unprod
11×div-inv
10×associate-*r*
8×associate-/l*
7×unswap-sqr
6×pow1 associate-/r*
5×pow-to-exp pow-exp
4×expm1-log1p-u unpow-prod-down log1p-expm1-u add-log-exp
2×tan-quot frac-2neg clear-num associate-/r/ *-commutative sqr-pow
1×frac-times associate-*r/ pow-prod-down associate-*l/ associate-/l/
Counts
4 → 184
Calls
4 calls:
6.0ms
(* (pow t 3.0) (sin k))
9.0ms
(/ (/ 2.0 (* (pow t 3.0) (sin k))) (tan k))
5.0ms
(/ (* l l) (fma 2 1.0 (pow (/ k t) 2.0)))
21.0ms
(* (/ (/ 2.0 (* (pow t 3.0) (sin k))) (tan k)) (/ (* l l) (fma 2 1.0 (pow (/ k t) 2.0))))

series1.4s

Counts
4 → 12
Calls
4 calls:
173.0ms
(* (pow t 3.0) (sin k))
334.0ms
(/ (/ 2.0 (* (pow t 3.0) (sin k))) (tan k))
67.0ms
(/ (* l l) (fma 2 1.0 (pow (/ k t) 2.0)))
870.0ms
(* (/ (/ 2.0 (* (pow t 3.0) (sin k))) (tan k)) (/ (* l l) (fma 2 1.0 (pow (/ k t) 2.0))))

simplify44.0ms

Algorithm
egg-herbie
Counts
196 → 196
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
010192396
150011978

prune754.0ms

Filtered
196 candidates to 138 candidates (70.4%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 26.5b

localize24.0ms

Local error

Found 4 expressions with local error:

2.0b
(/ l (fma 2 1.0 (pow (/ k t) 2.0)))
3.7b
(/ (* (/ 2.0 (* (pow t 3.0) (sin k))) l) (tan k))
7.3b
(* (/ 2.0 (* (pow t 3.0) (sin k))) l)
17.0b
(* (/ (* (/ 2.0 (* (pow t 3.0) (sin k))) l) (tan k)) (/ l (fma 2 1.0 (pow (/ k t) 2.0))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
114×add-exp-log
74×add-cbrt-cube
46×prod-exp
42×div-exp
33×add-sqr-sqrt
28×times-frac
26×cbrt-undiv add-cube-cbrt *-un-lft-identity cbrt-unprod
16×associate-*r*
15×associate-*l*
8×pow1
6×associate-/r*
5×div-inv
4×expm1-log1p-u pow-to-exp pow-exp log1p-expm1-u associate-/l* add-log-exp
3×associate-*l/ unswap-sqr
2×tan-quot frac-2neg pow-prod-down clear-num associate-/r/ *-commutative
1×frac-times associate-*r/ associate-/l/
Counts
4 → 152
Calls
4 calls:
3.0ms
(/ l (fma 2 1.0 (pow (/ k t) 2.0)))
10.0ms
(/ (* (/ 2.0 (* (pow t 3.0) (sin k))) l) (tan k))
9.0ms
(* (/ 2.0 (* (pow t 3.0) (sin k))) l)
17.0ms
(* (/ (* (/ 2.0 (* (pow t 3.0) (sin k))) l) (tan k)) (/ l (fma 2 1.0 (pow (/ k t) 2.0))))

series1.8s

Counts
4 → 12
Calls
4 calls:
88.0ms
(/ l (fma 2 1.0 (pow (/ k t) 2.0)))
467.0ms
(/ (* (/ 2.0 (* (pow t 3.0) (sin k))) l) (tan k))
349.0ms
(* (/ 2.0 (* (pow t 3.0) (sin k))) l)
906.0ms
(* (/ (* (/ 2.0 (* (pow t 3.0) (sin k))) l) (tan k)) (/ l (fma 2 1.0 (pow (/ k t) 2.0))))

simplify117.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
08691986
148481580
250011580

prune633.0ms

Filtered
164 candidates to 106 candidates (64.6%)
Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 25.8b

localize29.0ms

Local error

Found 4 expressions with local error:

2.0b
(/ l (fma 2 1.0 (pow (/ k t) 2.0)))
3.7b
(/ (* 2.0 (* (pow (/ 1 (pow t 3.0)) 1.0) (/ l (sin k)))) (tan k))
8.8b
(* (pow (/ 1 (pow t 3.0)) 1.0) (/ l (sin k)))
17.0b
(* (/ (* 2.0 (* (pow (/ 1 (pow t 3.0)) 1.0) (/ l (sin k)))) (tan k)) (/ l (fma 2 1.0 (pow (/ k t) 2.0))))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
480×add-exp-log
225×prod-exp
202×div-exp
104×pow-exp
95×add-sqr-sqrt
76×times-frac
70×add-cbrt-cube
52×unpow-prod-down
51×*-un-lft-identity
45×add-cube-cbrt
37×associate-*l*
32×pow-to-exp
27×cbrt-unprod
26×associate-*r*
24×rec-exp 1-exp
22×cbrt-undiv
20×unswap-sqr
10×sqr-pow
6×pow1 associate-/r* div-inv
4×expm1-log1p-u associate-*r/ log1p-expm1-u associate-/l* add-log-exp
2×tan-quot frac-2neg clear-num associate-/r/ *-commutative
1×frac-times pow-prod-down associate-*l/ associate-/l/
Counts
4 → 278
Calls
4 calls:
3.0ms
(/ l (fma 2 1.0 (pow (/ k t) 2.0)))
17.0ms
(/ (* 2.0 (* (pow (/ 1 (pow t 3.0)) 1.0) (/ l (sin k)))) (tan k))
19.0ms
(* (pow (/ 1 (pow t 3.0)) 1.0) (/ l (sin k)))
23.0ms
(* (/ (* 2.0 (* (pow (/ 1 (pow t 3.0)) 1.0) (/ l (sin k)))) (tan k)) (/ l (fma 2 1.0 (pow (/ k t) 2.0))))

series1.4s

Counts
4 → 12
Calls
4 calls:
87.0ms
(/ l (fma 2 1.0 (pow (/ k t) 2.0)))
434.0ms
(/ (* 2.0 (* (pow (/ 1 (pow t 3.0)) 1.0) (/ l (sin k)))) (tan k))
259.0ms
(* (pow (/ 1 (pow t 3.0)) 1.0) (/ l (sin k)))
666.0ms
(* (/ (* 2.0 (* (pow (/ 1 (pow t 3.0)) 1.0) (/ l (sin k)))) (tan k)) (/ l (fma 2 1.0 (pow (/ k t) 2.0))))

simplify61.0ms

Algorithm
egg-herbie
Counts
290 → 290
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
013973722
150013275

prune979.0ms

Filtered
290 candidates to 152 candidates (52.4%)
Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 22.6b

localize31.0ms

Local error

Found 4 expressions with local error:

2.5b
(* (pow (/ 1 (pow (* (cbrt t) (cbrt t)) 3.0)) 1.0) (* (pow (/ 1 (pow (cbrt t) 3.0)) 1.0) (/ l (sin k))))
2.9b
(* (pow (/ 1 (pow (cbrt t) 3.0)) 1.0) (/ l (sin k)))
3.7b
(/ (* 2.0 (* (pow (/ 1 (pow (* (cbrt t) (cbrt t)) 3.0)) 1.0) (* (pow (/ 1 (pow (cbrt t) 3.0)) 1.0) (/ l (sin k))))) (tan k))
17.0b
(* (/ (* 2.0 (* (pow (/ 1 (pow (* (cbrt t) (cbrt t)) 3.0)) 1.0) (* (pow (/ 1 (pow (cbrt t) 3.0)) 1.0) (/ l (sin k))))) (tan k)) (/ l (fma 2 1.0 (pow (/ k t) 2.0))))

rewrite681.0ms

Algorithm
rewrite-expression-head
Rules
8803×add-exp-log
5148×prod-exp
3773×div-exp
3486×pow-exp
888×pow-to-exp
766×rec-exp 1-exp
115×add-sqr-sqrt
100×unpow-prod-down
98×add-cbrt-cube
97×times-frac
69×associate-*l*
61×*-un-lft-identity
53×add-cube-cbrt
46×cbrt-unprod
27×associate-*r*
26×cbrt-undiv
24×unswap-sqr
14×sqr-pow
13×cbrt-prod
7×associate-*r/
6×pow1 div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r* *-commutative
2×tan-quot associate-/r/
1×frac-times frac-2neg pow-prod-down associate-*l/ clear-num associate-/l/ associate-/l*
Counts
4 → 1731
Calls
4 calls:
33.0ms
(* (pow (/ 1 (pow (* (cbrt t) (cbrt t)) 3.0)) 1.0) (* (pow (/ 1 (pow (cbrt t) 3.0)) 1.0) (/ l (sin k))))
22.0ms
(* (pow (/ 1 (pow (cbrt t) 3.0)) 1.0) (/ l (sin k)))
60.0ms
(/ (* 2.0 (* (pow (/ 1 (pow (* (cbrt t) (cbrt t)) 3.0)) 1.0) (* (pow (/ 1 (pow (cbrt t) 3.0)) 1.0) (/ l (sin k))))) (tan k))
268.0ms
(* (/ (* 2.0 (* (pow (/ 1 (pow (* (cbrt t) (cbrt t)) 3.0)) 1.0) (* (pow (/ 1 (pow (cbrt t) 3.0)) 1.0) (/ l (sin k))))) (tan k)) (/ l (fma 2 1.0 (pow (/ k t) 2.0))))

series1.8s

Counts
4 → 12
Calls
4 calls:
308.0ms
(* (pow (/ 1 (pow (* (cbrt t) (cbrt t)) 3.0)) 1.0) (* (pow (/ 1 (pow (cbrt t) 3.0)) 1.0) (/ l (sin k))))
313.0ms
(* (pow (/ 1 (pow (cbrt t) 3.0)) 1.0) (/ l (sin k)))
466.0ms
(/ (* 2.0 (* (pow (/ 1 (pow (* (cbrt t) (cbrt t)) 3.0)) 1.0) (* (pow (/ 1 (pow (cbrt t) 3.0)) 1.0) (/ l (sin k))))) (tan k))
690.0ms
(* (/ (* 2.0 (* (pow (/ 1 (pow (* (cbrt t) (cbrt t)) 3.0)) 1.0) (* (pow (/ 1 (pow (cbrt t) 3.0)) 1.0) (/ l (sin k))))) (tan k)) (/ l (fma 2 1.0 (pow (/ k t) 2.0))))

simplify323.0ms

Algorithm
egg-herbie
Counts
1743 → 1743
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
0500134134

prune1.6s

Filtered
1743 candidates to 200 candidates (11.5%)
Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 20.8b

regimes513.0ms

Accuracy

0% (2.1b remaining)

Error of 23.0b against oracle of 20.9b and baseline of 23.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03829
13829

end0.0ms

sample3.6s

Algorithm
intervals
Results
1.4s2038×body1280valid
828.0ms1746×body640valid
604.0ms5919×body80valid
303.0ms900×body320valid
103.0ms443×body160valid