Details

Time bar (total: 28.1s)

sample532.0ms

Algorithm
intervals
Results
198.0ms52×body2560valid
167.0ms77×body1280valid
49.0ms59×body640valid
18.0ms30×body320valid
9.0ms22×body160valid
4.0ms16×body80valid

simplify16.0ms

Counts
1 → 1
Iterations
IterNodes
419
319
217
113
06

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.2b

localize39.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- x (sin x)) (- x (tan x)))
1.2b
(- x (tan x))
1.2b
(- x (sin x))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt *-un-lft-identity
25×times-frac
15×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
7×add-log-exp
5×associate-/r* add-cbrt-cube add-exp-log associate-/l*
4×flip3-- flip--
3×pow1 insert-posit16
2×sub-neg diff-log associate-/r/ associate-/l/
1×cbrt-undiv clear-num frac-2neg div-sub div-exp div-inv
Counts
3 → 83
Calls
3 calls:
16.0ms
(/ (- x (sin x)) (- x (tan x)))
4.0ms
(- x (tan x))
9.0ms
(- x (sin x))

series269.0ms

Counts
3 → 9
Calls
3 calls:
144.0ms
(/ (- x (sin x)) (- x (tan x)))
74.0ms
(- x (tan x))
51.0ms
(- x (sin x))

simplify1.2s

Counts
92 → 92
Iterations
IterNodes
33119
2973
1373
0160

prune873.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (sin x) (- x (tan x)))
1.0b
(- (/ x (- x (tan x))) (/ (sin x) (- x (tan x))))
1.2b
(- x (tan x))
1.2b
(- x (tan x))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
54×*-un-lft-identity
44×add-sqr-sqrt
33×times-frac
18×distribute-lft-out--
16×add-cube-cbrt
12×difference-of-squares
10×add-log-exp
6×flip3-- add-cbrt-cube add-exp-log associate-/r/ flip--
5×associate-/r*
4×pow1 insert-posit16
3×sub-neg distribute-rgt-out-- diff-log div-inv associate-/l*
1×cbrt-undiv clear-num frac-2neg div-exp frac-sub sub-div
Counts
4 → 98
Calls
4 calls:
12.0ms
(/ (sin x) (- x (tan x)))
78.0ms
(- (/ x (- x (tan x))) (/ (sin x) (- x (tan x))))
9.0ms
(- x (tan x))
8.0ms
(- x (tan x))

series537.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(/ (sin x) (- x (tan x)))
257.0ms
(- (/ x (- x (tan x))) (/ (sin x) (- x (tan x))))
85.0ms
(- x (tan x))
102.0ms
(- x (tan x))

simplify1.5s

Counts
110 → 110
Iterations
IterNodes
33355
21115
1390
0180

prune1.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- x (sin x)) (- x (tan x)))
1.2b
(- x (tan x))
1.2b
(- x (sin x))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt *-un-lft-identity
25×times-frac
15×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
7×add-log-exp
5×associate-/r* add-cbrt-cube add-exp-log associate-/l*
4×flip3-- flip--
3×pow1 insert-posit16
2×sub-neg diff-log associate-/r/ associate-/l/
1×cbrt-undiv clear-num frac-2neg div-sub div-exp div-inv
Counts
3 → 83
Calls
3 calls:
16.0ms
(/ (- x (sin x)) (- x (tan x)))
4.0ms
(- x (tan x))
5.0ms
(- x (sin x))

series221.0ms

Counts
3 → 9
Calls
3 calls:
101.0ms
(/ (- x (sin x)) (- x (tan x)))
76.0ms
(- x (tan x))
44.0ms
(- x (sin x))

simplify1.1s

Counts
92 → 92
Iterations
IterNodes
33119
2973
1373
0160

prune903.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

1.2b
(- x (tan x))
1.2b
(- x (tan x))
1.2b
(- x (tan x))
1.2b
(- x (tan x))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity add-log-exp
4×pow1 sub-neg flip3-- add-cbrt-cube diff-log add-exp-log add-cube-cbrt insert-posit16 flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 60
Calls
4 calls:
4.0ms
(- x (tan x))
4.0ms
(- x (tan x))
4.0ms
(- x (tan x))
4.0ms
(- x (tan x))

series363.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(- x (tan x))
77.0ms
(- x (tan x))
95.0ms
(- x (tan x))
93.0ms
(- x (tan x))

simplify1.1s

Counts
72 → 72
Iterations
IterNodes
53064
41095
3483
2212
195
047

prune906.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes94.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 31.2b

bsearch138.0ms

Steps
ItersRangePoint
8
0.0042870261776910435
186.95626557948964
0.028563011272804206
9
-0.35383103211093586
-9.60334830165094e-09
-0.029021700279035747

simplify20.0ms

Iterations
IterNodes
225
125
023

end0.0ms

sample16.5s

Algorithm
intervals
Results
7.2s1626×body2560valid
5.4s2728×body1280valid
2.7s1903×body640valid
732.0ms928×body320valid
196.0ms440×body160valid
92.0ms375×body80valid