Details

Time bar (total: 4.7s)

sample297.0ms

Algorithm
intervals
Results
28.0ms60×body1280valid
8.0ms31×body640valid
7.0ms134×body80valid
4.0ms21×body320valid
1.0ms10×body160valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0139
1229
2299
3379
4439
5459
6459

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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))) (+ 1.0 (* (tan x) (tan x))))
0.2b
(- 1.0 (* (tan x) (tan x)))
0.2b
(* (tan x) (tan x))
0.2b
(* (tan x) (tan x))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
23×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×expm1-log1p-u log1p-expm1-u associate-/l*
3×fma-neg prod-diff 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 → 119
Calls
4 calls:
8.0ms
(/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))
2.0ms
(- 1.0 (* (tan x) (tan x)))
5.0ms
(* (tan x) (tan x))
8.0ms
(* (tan x) (tan x))

series226.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))
39.0ms
(- 1.0 (* (tan x) (tan x)))
32.0ms
(* (tan x) (tan x))
62.0ms
(* (tan x) (tan x))

simplify46.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03381007
11243918
25001882

prune289.0ms

Filtered
131 candidates to 91 candidates (69.5%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(+ (sqrt 1.0) (tan x))
0.2b
(* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))
0.2b
(- (sqrt 1.0) (tan x))
0.2b
(* (tan x) (tan x))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
62×add-sqr-sqrt
58×*-un-lft-identity
54×prod-diff
50×add-cube-cbrt
35×sqrt-prod
20×distribute-rgt-in distribute-lft-in
13×pow1
9×associate-*r*
8×add-exp-log add-cbrt-cube add-log-exp
7×associate-*l*
6×fma-def fma-neg
5×frac-times
4×tan-quot expm1-log1p-u flip3-- flip3-+ flip-- flip-+ log1p-expm1-u difference-of-squares
3×sub-neg associate-*r/ swap-sqr associate-*l/
2×pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out distribute-lft-out-- unswap-sqr
1×+-commutative pow2 pow-plus diff-log sum-log pow-sqr pow-prod-up
Counts
4 → 163
Calls
4 calls:
5.0ms
(+ (sqrt 1.0) (tan x))
34.0ms
(* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))
6.0ms
(- (sqrt 1.0) (tan x))
5.0ms
(* (tan x) (tan x))

series209.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ (sqrt 1.0) (tan x))
104.0ms
(* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))
41.0ms
(- (sqrt 1.0) (tan x))
32.0ms
(* (tan x) (tan x))

simplify73.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05502052
124001381
250011359

prune324.0ms

Filtered
175 candidates to 91 candidates (52.0%)
Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (log (exp (+ (sqrt 1.0) (tan x)))) (- (sqrt 1.0) (tan x)))
0.2b
(- (sqrt 1.0) (tan x))
0.2b
(* (tan x) (tan x))
0.3b
(exp (+ (sqrt 1.0) (tan x)))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
62×add-sqr-sqrt
58×*-un-lft-identity
54×prod-diff
50×add-cube-cbrt
32×sqrt-prod
20×distribute-rgt-in distribute-lft-in
14×pow1
11×associate-*l*
9×associate-*r* add-log-exp
8×add-exp-log exp-prod add-cbrt-cube
6×fma-neg
5×log-pow
4×tan-quot expm1-log1p-u log1p-expm1-u difference-of-squares
3×sub-neg associate-*r/ swap-sqr
2×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod rem-exp-log distribute-lft-out distribute-lft-out-- unswap-sqr
1×pow2 frac-times pow-plus diff-log exp-sum associate-*l/ sum-log pow-sqr pow-prod-up
Counts
4 → 157
Calls
4 calls:
59.0ms
(* (log (exp (+ (sqrt 1.0) (tan x)))) (- (sqrt 1.0) (tan x)))
6.0ms
(- (sqrt 1.0) (tan x))
5.0ms
(* (tan x) (tan x))
13.0ms
(exp (+ (sqrt 1.0) (tan x)))

series239.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(* (log (exp (+ (sqrt 1.0) (tan x)))) (- (sqrt 1.0) (tan x)))
39.0ms
(- (sqrt 1.0) (tan x))
32.0ms
(* (tan x) (tan x))
66.0ms
(exp (+ (sqrt 1.0) (tan x)))

simplify56.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04122172
116181393
250021358

prune339.0ms

Filtered
169 candidates to 84 candidates (49.7%)
Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(- 1.0 (* (tan x) (tan x)))
0.2b
(* (tan x) (tan x))
0.2b
(* (tan x) (tan x))
0.3b
(exp (+ (sqrt 1.0) (tan x)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
18×pow1
17×*-un-lft-identity
15×add-cube-cbrt
9×add-log-exp
8×tan-quot add-exp-log add-cbrt-cube
6×swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u exp-prod log1p-expm1-u
3×fma-neg prod-diff
2×pow2 frac-times pow-plus associate-*r/ pow-prod-down associate-*l/ prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod rem-exp-log unswap-sqr
1×sub-neg flip3-- diff-log exp-sum sum-log flip-- distribute-lft-out difference-of-squares
Counts
4 → 97
Calls
4 calls:
5.0ms
(- 1.0 (* (tan x) (tan x)))
5.0ms
(* (tan x) (tan x))
5.0ms
(* (tan x) (tan x))
13.0ms
(exp (+ (sqrt 1.0) (tan x)))

series165.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(- 1.0 (* (tan x) (tan x)))
32.0ms
(* (tan x) (tan x))
38.0ms
(* (tan x) (tan x))
62.0ms
(exp (+ (sqrt 1.0) (tan x)))

simplify126.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 3 (114.0ms)

IterNodesCost
0226514
1738461
23459444
35002433

prune285.0ms

Filtered
109 candidates to 69 candidates (63.3%)
Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes152.0ms

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
01312
11312

end0.0ms

sample1.6s

Algorithm
intervals
Results
718.0ms1581×body1280valid
335.0ms1211×body640valid
245.0ms4327×body80valid
113.0ms600×body320valid
43.0ms281×body160valid