Details

Time bar (total: 27.7s)

sample934.0ms

Algorithm
intervals
Results
398.0ms49×body2560valid
264.0ms83×body1280valid
73.0ms62×body640valid
45.0ms23×body160valid
27.0ms30×body320valid
3.0ms9×body80valid

simplify33.0ms

Counts
1 → 1
Iterations
IterNodes
419
319
217
113
06

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.4b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- x (sin x)) (- x (tan x)))
1.6b
(- x (tan x))
1.6b
(- x (sin x))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
57×add-sqr-sqrt *-un-lft-identity
29×add-cube-cbrt
25×times-frac
18×prod-diff
14×distribute-lft-out-- difference-of-squares
7×add-log-exp
6×fma-neg
5×associate-/r* add-cbrt-cube add-exp-log associate-/l*
4×flip3-- flip--
3×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u
2×sub-neg diff-log associate-/r/ associate-/l/
1×cbrt-undiv clear-num frac-2neg div-sub div-exp div-inv
Counts
3 → 113
Calls
3 calls:
38.0ms
(/ (- x (sin x)) (- x (tan x)))
10.0ms
(- x (tan x))
15.0ms
(- x (sin x))

series295.0ms

Counts
3 → 9
Calls
3 calls:
138.0ms
(/ (- x (sin x)) (- x (tan x)))
91.0ms
(- x (tan x))
67.0ms
(- x (sin x))

simplify1.8s

Counts
122 → 122
Iterations
IterNodes
34455
21297
1502
0212

prune1.1s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- x (sin x)) (- x (tan x)))
1.6b
(- x (tan x))
1.6b
(- x (sin x))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
57×add-sqr-sqrt *-un-lft-identity
29×add-cube-cbrt
25×times-frac
18×prod-diff
14×distribute-lft-out-- difference-of-squares
7×add-log-exp
6×fma-neg
5×associate-/r* add-cbrt-cube add-exp-log associate-/l*
4×flip3-- flip--
3×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u
2×sub-neg diff-log associate-/r/ associate-/l/
1×cbrt-undiv clear-num frac-2neg div-sub div-exp div-inv
Counts
3 → 113
Calls
3 calls:
21.0ms
(/ (- x (sin x)) (- x (tan x)))
5.0ms
(- x (tan x))
6.0ms
(- x (sin x))

series203.0ms

Counts
3 → 9
Calls
3 calls:
98.0ms
(/ (- x (sin x)) (- x (tan x)))
63.0ms
(- x (tan x))
42.0ms
(- x (sin x))

simplify1.9s

Counts
122 → 122
Iterations
IterNodes
34455
21297
1502
0212

prune988.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 9/40 (* 27/2800 (* x x)))
0.1b
(* (* x x) (- 9/40 (* 27/2800 (* x x))))
0.2b
(* 27/2800 (* x x))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-cbrt-cube add-exp-log
11×add-sqr-sqrt
9×*-un-lft-identity prod-diff add-cube-cbrt
6×pow-prod-down prod-exp cbrt-unprod
5×distribute-rgt-in distribute-lft-in add-log-exp
4×associate-*r* associate-*l*
3×expm1-log1p-u sub-neg fma-neg insert-posit16 log1p-expm1-u
2×flip3-- associate-*r/ *-commutative flip-- unswap-sqr
1×diff-log
Counts
3 → 77
Calls
3 calls:
9.0ms
(- 9/40 (* 27/2800 (* x x)))
46.0ms
(* (* x x) (- 9/40 (* 27/2800 (* x x))))
33.0ms
(* 27/2800 (* x x))

series301.0ms

Counts
3 → 9
Calls
3 calls:
112.0ms
(- 9/40 (* 27/2800 (* x x)))
159.0ms
(* (* x x) (- 9/40 (* 27/2800 (* x x))))
30.0ms
(* 27/2800 (* x x))

simplify2.0s

Counts
86 → 86
Iterations
IterNodes
33373
21049
1342
0113

prune527.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes69.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 31.5b

bsearch158.0ms

Steps
ItersRangePoint
9
5.277777168093308e-05
15.597049771107491
0.030132695111622844
10
-1231591086050.0088
-0.0006858147917088189
-0.029332414347062297

simplify8.0ms

Iterations
IterNodes
225
125
020

end0.0ms

sample17.1s

Algorithm
intervals
Results
6.9s1562×body2560valid
6.1s2779×body1280valid
2.4s1923×body640valid
1.1s936×body320valid
309.0ms454×body160valid
92.0ms346×body80valid