Details

Time bar (total: 14.1s)

sample50.0ms

Algorithm
intervals
Results
14.0ms131×body80valid
14.0ms48×body1280valid
8.0ms34×body640valid
5.0ms28×body320valid
2.0ms15×body160valid

simplify173.0ms

Counts
1 → 1
Iterations
IterNodes
17206
16206
15204
14192
13143
12112
1199
1090
968
851
740
630
524
421
320
217
113
07

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (+ x 1))
0.0b
(/ (+ x 1) (- x 1))
4.4b
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
110×*-un-lft-identity
60×times-frac
57×add-sqr-sqrt
25×add-cube-cbrt
20×distribute-lft-out
18×distribute-lft-out--
14×difference-of-squares
11×associate-/r*
7×add-cbrt-cube add-exp-log associate-/l*
5×difference-of-sqr-1 add-log-exp
4×associate-/r/
3×pow1 insert-posit16
2×cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-exp flip-+ div-inv flip-- associate-/l/
1×sub-neg diff-log frac-sub
Counts
3 → 117
Calls
3 calls:
10.0ms
(/ x (+ x 1))
18.0ms
(/ (+ x 1) (- x 1))
45.0ms
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))

series160.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(/ x (+ x 1))
24.0ms
(/ (+ x 1) (- x 1))
112.0ms
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))

simplify1.6s

Counts
126 → 126
Iterations
IterNodes
33151
2989
1383
0180

prune792.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x 1))
0.3b
(cbrt (+ x 1))
0.3b
(* (cbrt (+ x 1)) (cbrt (+ x 1)))
21.4b
(- (/ x (+ x 1)) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (/ (- x 1) (cbrt (+ x 1)))))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
34×cbrt-prod *-un-lft-identity
16×cbrt-div
14×times-frac add-cube-cbrt
11×pow1
9×swap-sqr
8×flip3-+ pow1/3 flip-+ distribute-lft-out difference-of-squares
7×associate-*r* associate-*l*
6×add-exp-log add-log-exp
4×frac-times add-cbrt-cube insert-posit16 unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 sub-neg pow-plus flip3-- diff-log prod-exp *-commutative frac-sub cbrt-unprod flip-- distribute-lft-out--
Counts
4 → 107
Calls
4 calls:
4.0ms
(cbrt (+ x 1))
4.0ms
(cbrt (+ x 1))
38.0ms
(* (cbrt (+ x 1)) (cbrt (+ x 1)))
79.0ms
(- (/ x (+ x 1)) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (/ (- x 1) (cbrt (+ x 1)))))

series277.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(cbrt (+ x 1))
51.0ms
(cbrt (+ x 1))
54.0ms
(* (cbrt (+ x 1)) (cbrt (+ x 1)))
114.0ms
(- (/ x (+ x 1)) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (/ (- x 1) (cbrt (+ x 1)))))

simplify1.3s

Counts
119 → 119
Iterations
IterNodes
33002
21100
1435
0189

prune967.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (cbrt (+ x 1)))
0.3b
(cbrt (cbrt (+ x 1)))
0.3b
(cbrt (cbrt (+ x 1)))
23.3b
(- (/ x (+ x 1)) (/ (* (* (cbrt (cbrt (+ x 1))) (cbrt (cbrt (+ x 1)))) (* (cbrt (cbrt (+ x 1))) (cbrt (+ x 1)))) (/ (- x 1) (cbrt (+ x 1)))))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
33×cbrt-prod
18×*-un-lft-identity
15×add-sqr-sqrt
12×cbrt-div
10×add-cube-cbrt
6×add-log-exp
4×pow1 add-cbrt-cube add-exp-log insert-posit16
3×flip3-+ pow1/3 flip-+ distribute-lft-out
2×difference-of-squares
1×sub-neg times-frac flip3-- diff-log frac-sub flip-- distribute-lft-out--
Counts
4 → 71
Calls
4 calls:
6.0ms
(cbrt (cbrt (+ x 1)))
6.0ms
(cbrt (cbrt (+ x 1)))
6.0ms
(cbrt (cbrt (+ x 1)))
51.0ms
(- (/ x (+ x 1)) (/ (* (* (cbrt (cbrt (+ x 1))) (cbrt (cbrt (+ x 1)))) (* (cbrt (cbrt (+ x 1))) (cbrt (+ x 1)))) (/ (- x 1) (cbrt (+ x 1)))))

series237.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(cbrt (cbrt (+ x 1)))
34.0ms
(cbrt (cbrt (+ x 1)))
58.0ms
(cbrt (cbrt (+ x 1)))
110.0ms
(- (/ x (+ x 1)) (/ (* (* (cbrt (cbrt (+ x 1))) (cbrt (cbrt (+ x 1)))) (* (cbrt (cbrt (+ x 1))) (cbrt (+ x 1)))) (/ (- x 1) (cbrt (+ x 1)))))

simplify1.2s

Counts
83 → 83
Iterations
IterNodes
33218
2802
1287
0129

prune765.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x 1) (- x 1))
0.0b
(* (+ x 1) (+ x 1))
0.0b
(/ (- (* x (- x 1)) (* (+ x 1) (+ x 1))) (* (+ x 1) (- x 1)))
19.2b
(- (* x (- x 1)) (* (+ x 1) (+ x 1)))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
46×associate-*r/
36×flip3-+ flip-+
32×frac-sub
31×*-un-lft-identity
28×frac-times
24×flip3-- flip--
20×add-sqr-sqrt
18×associate-/l/
14×associate-*l/
13×pow1 add-cbrt-cube add-exp-log
12×add-cube-cbrt
11×associate-*r*
8×associate-*l* associate-/r/
7×distribute-lft-out
6×distribute-rgt-in distribute-lft-in swap-sqr add-log-exp
5×sub-neg
4×associate--l+ insert-posit16
3×times-frac prod-exp cbrt-unprod associate-/l*
2×cbrt-undiv div-exp pow-prod-down *-commutative associate--r+ difference-of-squares unswap-sqr
1×pow2 clear-num associate-/r* frac-2neg pow-plus diff-log difference-of-sqr-1 div-sub pow-sqr pow-prod-up div-inv distribute-lft-out--
Counts
4 → 161
Calls
4 calls:
25.0ms
(* (+ x 1) (- x 1))
24.0ms
(* (+ x 1) (+ x 1))
40.0ms
(/ (- (* x (- x 1)) (* (+ x 1) (+ x 1))) (* (+ x 1) (- x 1)))
26.0ms
(- (* x (- x 1)) (* (+ x 1) (+ x 1)))

series218.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(* (+ x 1) (- x 1))
21.0ms
(* (+ x 1) (+ x 1))
60.0ms
(/ (- (* x (- x 1)) (* (+ x 1) (+ x 1))) (* (+ x 1) (- x 1)))
46.0ms
(- (* x (- x 1)) (* (+ x 1) (+ x 1)))

simplify2.1s

Counts
173 → 173
Iterations
IterNodes
24018
1863
0248

prune1.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes43.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.2b

bsearch99.0ms

Steps
ItersRangePoint
10
186.95626557948964
3373396396890550.5
180005.41283506868
4
-6466188478224.698
-4073810451523.4326
-6041717527243.163

simplify5.0ms

Iterations
IterNodes
230
130
023

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.1s1698×body1280valid
472.0ms1267×body640valid
299.0ms4118×body80valid
162.0ms626×body320valid
43.0ms291×body160valid