Details

Time bar (total: 18.9s)

sample296.0ms

Algorithm
intervals
Results
74.0ms44×body640valid
65.0ms51×body1280valid
23.0ms134×body80valid
12.0ms12×body320valid
6.0ms15×body160valid

simplify87.0ms

Counts
1 → 1

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
29×*-un-lft-identity
24×add-cube-cbrt
18×pow1
15×times-frac
10×add-cbrt-cube add-exp-log difference-of-squares
8×tan-quot
6×swap-sqr associate-*r* associate-*l* add-log-exp
5×associate-/l*
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×associate-/r* fma-neg prod-diff
2×pow2 frac-times pow-plus flip3-- pow-prod-down associate-*l/ prod-exp associate-*r/ associate-/r/ pow-sqr *-commutative pow-prod-up cbrt-unprod flip-- unswap-sqr associate-/l/
1×cbrt-undiv clear-num sub-neg frac-2neg flip3-+ diff-log div-sub div-exp flip-+ div-inv
Counts
4 → 128
Calls
4 calls:
Slowest
22.0ms
(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
20.0ms
(* (tan x) (tan x))
13.0ms
(* (tan x) (tan x))
5.0ms
(- 1 (* (tan x) (tan x)))

series247.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
106.0ms
(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
56.0ms
(- 1 (* (tan x) (tan x)))
45.0ms
(* (tan x) (tan x))
40.0ms
(* (tan x) (tan x))

simplify1.2s

Counts
140 → 140

prune1.6s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt *-un-lft-identity
25×add-cube-cbrt
18×prod-diff
13×pow1 add-cbrt-cube add-exp-log
11×distribute-rgt-in distribute-lft-in
9×frac-times associate-*r*
8×flip3-+ flip-+ associate-/l/
7×associate-*l*
6×flip3-- flip-- add-log-exp
5×associate-*l/ associate-*r/
4×expm1-log1p-u tan-quot insert-posit16 log1p-expm1-u
3×associate-/r* fma-def times-frac swap-sqr prod-exp cbrt-unprod
2×cbrt-undiv sub-neg div-exp pow-prod-down associate-/r/ *-commutative distribute-lft-out difference-of-squares unswap-sqr
1×pow2 +-commutative clear-num sum-log frac-2neg pow-plus pow-sqr pow-prod-up div-inv associate-/l* distribute-lft-out--
Counts
4 → 138
Calls
4 calls:
Slowest
26.0ms
(* (+ 1 (tan x)) (- 1 (tan x)))
20.0ms
(/ (* (+ 1 (tan x)) (- 1 (tan x))) (+ 1 (* (tan x) (tan x))))
20.0ms
(* (tan x) (tan x))
5.0ms
(+ 1 (tan x))

series355.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
166.0ms
(/ (* (+ 1 (tan x)) (- 1 (tan x))) (+ 1 (* (tan x) (tan x))))
102.0ms
(* (+ 1 (tan x)) (- 1 (tan x)))
56.0ms
(* (tan x) (tan x))
31.0ms
(+ 1 (tan x))

simplify913.0ms

Counts
150 → 150

prune1.8s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (tan x) (tan x)) (* (tan x) (tan x)))
0.3b
(* (tan x) (tan x))
0.3b
(* (tan x) (tan x))
0.3b
(* (tan x) (tan x))

rewrite573.0ms

Algorithm
rewrite-expression-head
Rules
136×pow1
44×tan-quot
39×pow-prod-up
26×pow-prod-down
25×pow-sqr
22×add-sqr-sqrt add-cbrt-cube add-exp-log
21×pow-plus
20×frac-times
16×pow2 *-un-lft-identity add-cube-cbrt
14×associate-*l/ associate-*r/
11×prod-exp cbrt-unprod
10×swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u *-commutative insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
Counts
4 → 174
Calls
4 calls:
Slowest
480.0ms
(* (* (tan x) (tan x)) (* (tan x) (tan x)))
32.0ms
(* (tan x) (tan x))
28.0ms
(* (tan x) (tan x))
28.0ms
(* (tan x) (tan x))

series220.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
60.0ms
(* (tan x) (tan x))
58.0ms
(* (tan x) (tan x))
58.0ms
(* (* (tan x) (tan x)) (* (tan x) (tan x)))
43.0ms
(* (tan x) (tan x))

simplify820.0ms

Counts
186 → 186

prune2.0s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.3b
(log (exp (/ (* (- 1 (tan x)) (+ 1 (tan x))) (fma (tan x) (tan x) 1))))
0.2b
(* (- 1 (tan x)) (+ 1 (tan x)))
0.2b
(+ 1 (tan x))
0.2b
(/ (* (- 1 (tan x)) (+ 1 (tan x))) (fma (tan x) (tan x) 1))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
17×add-sqr-sqrt
12×add-cube-cbrt
11×add-cbrt-cube add-exp-log
8×frac-times log-pow associate-/l/
7×pow1 exp-prod flip3-+ flip-+
6×times-frac flip3-- associate-*l* flip-- add-log-exp
4×expm1-log1p-u associate-*r* associate-*l/ associate-*r/ insert-posit16 log1p-expm1-u
3×log-prod associate-/r* fma-def
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv distribute-lft-out difference-of-squares
1×distribute-rgt-in +-commutative clear-num sum-log frac-2neg distribute-lft-in rem-log-exp pow-prod-down *-commutative associate-/l* distribute-lft-out-- unswap-sqr
Counts
4 → 107
Calls
4 calls:
Slowest
24.0ms
(/ (* (- 1 (tan x)) (+ 1 (tan x))) (fma (tan x) (tan x) 1))
24.0ms
(* (- 1 (tan x)) (+ 1 (tan x)))
9.0ms
(+ 1 (tan x))
7.0ms
(log (exp (/ (* (- 1 (tan x)) (+ 1 (tan x))) (fma (tan x) (tan x) 1))))

series431.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
175.0ms
(log (exp (/ (* (- 1 (tan x)) (+ 1 (tan x))) (fma (tan x) (tan x) 1))))
150.0ms
(/ (* (- 1 (tan x)) (+ 1 (tan x))) (fma (tan x) (tan x) 1))
80.0ms
(* (- 1 (tan x)) (+ 1 (tan x)))
25.0ms
(+ 1 (tan x))

simplify734.0ms

Counts
119 → 119

prune1.5s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes258.0ms

Accuracy

0% (0.3b remaining)

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

bsearch4.0ms

end0.0ms

sample5.5s

Algorithm
intervals
Results
2.3s1475×body1280valid
1.3s1249×body640valid
1.3s4384×body80valid
372.0ms578×body320valid
138.0ms314×body160valid