Details

Time bar (total: 3.7s)

sample293.0ms

Algorithm
intervals
Results
13.0ms53×body1280valid
6.0ms144×body80valid
6.0ms38×body640valid
1.0ms13×body320valid
1.0ms8×body160valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0139
1219
2269
3349
4379
5379

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(- 1.0 (* (tan x) (tan x)))
0.2b
(/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))
0.3b
(* (tan x) (tan x))
0.3b
(* (tan x) (tan x))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
18×pow1
12×times-frac
10×add-exp-log add-cbrt-cube
8×tan-quot
6×swap-sqr associate-*r* associate-*l* add-log-exp
5×difference-of-squares
4×associate-/l*
3×associate-/r*
2×pow2 frac-times flip3-- pow-plus associate-*r/ pow-prod-down associate-*l/ prod-exp associate-/r/ pow-sqr *-commutative pow-prod-up flip-- cbrt-unprod associate-/l/ unswap-sqr
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-sub div-exp clear-num flip-+ div-inv
Counts
4 → 105
Calls
4 calls:
3.0ms
(- 1.0 (* (tan x) (tan x)))
6.0ms
(/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))
5.0ms
(* (tan x) (tan x))
8.0ms
(* (tan x) (tan x))

series208.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(- 1.0 (* (tan x) (tan x)))
92.0ms
(/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))
32.0ms
(* (tan x) (tan x))
52.0ms
(* (tan x) (tan x))

simplify42.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0314909
11157838
25001824

prune242.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(- 1.0 (* (tan x) (tan x)))
0.2b
(/ (pow (- 1.0 (* (tan x) (tan x))) 1) (+ 1.0 (* (tan x) (tan x))))
0.3b
(* (tan x) (tan x))
0.3b
(* (tan x) (tan x))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
29×add-cube-cbrt *-un-lft-identity
24×times-frac
18×pow1
16×unpow-prod-down
13×add-exp-log
10×add-cbrt-cube
8×tan-quot associate-/l*
6×swap-sqr associate-*r* associate-*l* add-log-exp
5×difference-of-squares
4×sqr-pow
3×div-exp associate-/r*
2×pow2 frac-times pow-plus associate-*r/ pow-prod-down associate-*l/ prod-exp associate-/r/ pow-sqr *-commutative pow-prod-up cbrt-unprod unswap-sqr
1×cbrt-undiv pow-to-exp sub-neg flip3-- frac-2neg flip3-+ diff-log pow-exp clear-num flip-- flip-+ div-inv
Counts
4 → 120
Calls
4 calls:
3.0ms
(- 1.0 (* (tan x) (tan x)))
8.0ms
(/ (pow (- 1.0 (* (tan x) (tan x))) 1) (+ 1.0 (* (tan x) (tan x))))
5.0ms
(* (tan x) (tan x))
5.0ms
(* (tan x) (tan x))

series187.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(- 1.0 (* (tan x) (tan x)))
90.0ms
(/ (pow (- 1.0 (* (tan x) (tan x))) 1) (+ 1.0 (* (tan x) (tan x))))
31.0ms
(* (tan x) (tan x))
35.0ms
(* (tan x) (tan x))

simplify51.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
03421223
113251128
250011114

prune271.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (pow (- 1.0 (cbrt (pow (tan x) 6))) 1) (+ 1.0 (* (tan x) (tan x))))
0.3b
(* (tan x) (tan x))
0.6b
(pow (tan x) 6)
10.5b
(cbrt (pow (tan x) 6))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
42×unpow-prod-down
41×*-un-lft-identity
36×times-frac
33×add-cube-cbrt
19×cbrt-prod
16×difference-of-squares
12×pow1 add-exp-log associate-/l*
10×sqr-pow
8×add-cbrt-cube
4×tan-quot distribute-lft-out-- add-log-exp
3×pow-unpow swap-sqr div-exp associate-*r* associate-*l* associate-/r*
2×pow-to-exp pow-exp associate-/r/
1×cbrt-undiv pow2 frac-times pow-pow frac-2neg flip3-+ pow-plus pow1/3 associate-*r/ pow-prod-down associate-*l/ prod-exp clear-num pow-sqr *-commutative pow-prod-up cbrt-unprod flip-+ div-inv unswap-sqr
Counts
4 → 127
Calls
4 calls:
12.0ms
(/ (pow (- 1.0 (cbrt (pow (tan x) 6))) 1) (+ 1.0 (* (tan x) (tan x))))
5.0ms
(* (tan x) (tan x))
3.0ms
(pow (tan x) 6)
3.0ms
(cbrt (pow (tan x) 6))

series215.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(/ (pow (- 1.0 (cbrt (pow (tan x) 6))) 1) (+ 1.0 (* (tan x) (tan x))))
30.0ms
(* (tan x) (tan x))
62.0ms
(pow (tan x) 6)
31.0ms
(cbrt (pow (tan x) 6))

simplify66.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
04671516
118701385
250021367

prune369.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(pow (tan x) 6)
0.6b
(pow (tan x) 6)
10.5b
(cbrt (pow (tan x) 6))
10.5b
(cbrt (pow (tan x) 6))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
12×add-sqr-sqrt add-cube-cbrt unpow-prod-down *-un-lft-identity
6×pow1 add-exp-log pow-unpow
4×add-cbrt-cube add-log-exp sqr-pow
2×pow-to-exp pow-pow pow1/3 pow-exp
Counts
4 → 64
Calls
4 calls:
3.0ms
(pow (tan x) 6)
3.0ms
(pow (tan x) 6)
3.0ms
(cbrt (pow (tan x) 6))
3.0ms
(cbrt (pow (tan x) 6))

series190.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(pow (tan x) 6)
63.0ms
(pow (tan x) 6)
32.0ms
(cbrt (pow (tan x) 6))
36.0ms
(cbrt (pow (tan x) 6))

simplify103.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (97.0ms)

IterNodesCost
0141372
1465330
22134320
35001286

prune219.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes138.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01410
11410

end0.0ms

sample929.0ms

Algorithm
intervals
Results
365.0ms1505×body1280valid
206.0ms1280×body640valid
149.0ms4280×body80valid
70.0ms618×body320valid
26.0ms317×body160valid