Details

Time bar (total: 24.2s)

sample109.0ms

Algorithm
intervals
Results
39.0ms47×body1280valid
21.0ms43×body640valid
13.0ms160×body80valid
8.0ms25×body320valid
7.0ms109×body80nan
3.0ms16×body160valid

simplify1.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08302
115302
224302
352302
4149302
5488302
61961302
done5001302

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x y))
0.0b
(/ (exp (* x (log (/ x (+ x y))))) x)
0.1b
(* x (log (/ x (+ x y))))
8.6b
(log (/ x (+ x y)))

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
261×times-frac
221×*-un-lft-identity
198×log-prod
149×add-sqr-sqrt
147×add-cube-cbrt
144×exp-sum
90×distribute-rgt-in distribute-lft-in
42×associate-/l*
37×distribute-lft-out
24×associate-/r/
13×div-inv
12×flip3-+ add-exp-log flip-+
10×add-cbrt-cube
8×pow1
7×associate-/r*
4×associate-*r* add-log-exp
3×div-exp associate-*l*
2×cbrt-undiv clear-num frac-2neg rem-log-exp log-pow
1×log-div pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 288
Calls
4 calls:
15.0ms
(/ x (+ x y))
55.0ms
(/ (exp (* x (log (/ x (+ x y))))) x)
21.0ms
(* x (log (/ x (+ x y))))
9.0ms
(log (/ x (+ x y)))

series369.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(/ x (+ x y))
144.0ms
(/ (exp (* x (log (/ x (+ x y))))) x)
107.0ms
(* x (log (/ x (+ x y))))
73.0ms
(log (/ x (+ x y)))

simplify2.7s

Counts
300 → 300
Iterations

Useful iterations: 2 (1.3s)

IterNodesCost
0470154841
1893144664
23182142162
done5000142162

prune1.7s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize87.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(* (cbrt (+ x y)) (cbrt (+ x y)))
2.1b
(log (/ (cbrt x) (cbrt (+ x y))))
3.1b
(log (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
85×cbrt-prod
74×*-un-lft-identity
64×add-sqr-sqrt
61×log-prod
48×add-cube-cbrt
43×times-frac
26×cbrt-div
24×add-exp-log
20×pow1
15×swap-sqr
13×flip3-+ associate-*r* associate-*l* flip-+
12×pow1/3 distribute-lft-out
10×associate-/r/
8×frac-times unswap-sqr
7×rem-log-exp
6×prod-exp
5×div-exp
4×add-cbrt-cube pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up add-log-exp
2×pow2 log-div pow-plus log-pow *-commutative cbrt-unprod div-inv
Counts
4 → 179
Calls
4 calls:
9.0ms
(* (cbrt x) (cbrt x))
29.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
10.0ms
(log (/ (cbrt x) (cbrt (+ x y))))
29.0ms
(log (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))))

series711.0ms

Counts
4 → 12
Calls
4 calls:
290.0ms
(* (cbrt x) (cbrt x))
227.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
88.0ms
(log (/ (cbrt x) (cbrt (+ x y))))
106.0ms
(log (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))))

simplify2.5s

Counts
191 → 191
Iterations

Useful iterations: done (2.5s)

IterNodesCost
029084191
164873313
2336072921
done500072473

prune1.3s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize95.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
2.1b
(log (/ (cbrt x) (cbrt (+ x y))))
2.1b
(log (/ (cbrt x) (cbrt (+ x y))))
2.1b
(log (/ (cbrt x) (cbrt (+ x y))))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
144×log-prod
138×cbrt-prod
126×times-frac
122×*-un-lft-identity
86×add-sqr-sqrt add-cube-cbrt
18×distribute-lft-out
13×add-exp-log
7×pow1
6×cbrt-div rem-log-exp associate-/r/
4×add-cbrt-cube add-log-exp
3×log-div flip3-+ div-exp log-pow flip-+ div-inv
1×pow1/3
Counts
4 → 188
Calls
4 calls:
1.0ms
(cbrt x)
14.0ms
(log (/ (cbrt x) (cbrt (+ x y))))
14.0ms
(log (/ (cbrt x) (cbrt (+ x y))))
15.0ms
(log (/ (cbrt x) (cbrt (+ x y))))

series524.0ms

Counts
4 → 12
Calls
4 calls:
228.0ms
(cbrt x)
99.0ms
(log (/ (cbrt x) (cbrt (+ x y))))
90.0ms
(log (/ (cbrt x) (cbrt (+ x y))))
108.0ms
(log (/ (cbrt x) (cbrt (+ x y))))

simplify2.0s

Counts
200 → 200
Iterations

Useful iterations: 3 (793.0ms)

IterNodesCost
0173119965
1318110407
2778110134
33132109974
done5000109974

prune1.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize80.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x y))
0.6b
(* (cbrt (+ x y)) (cbrt (+ x y)))
1.2b
(log (/ x (cbrt (+ x y))))
2.4b
(+ (- (log (* (cbrt (+ x y)) (cbrt (+ x y))))) (log (/ x (cbrt (+ x y)))))

rewrite233.0ms

Algorithm
rewrite-expression-head
Rules
77×*-un-lft-identity
55×log-prod
52×cbrt-prod
49×add-sqr-sqrt
42×times-frac
41×add-cube-cbrt
27×associate-+r+
22×pow1
21×distribute-lft-out
18×cbrt-div
10×flip3-+ flip-+
9×swap-sqr add-exp-log log-pow
7×pow1/3 associate-*r* associate-*l*
6×distribute-rgt-neg-in
5×add-log-exp
4×frac-times add-cbrt-cube pow-prod-down associate-/r/ unswap-sqr
2×log-div sum-log rem-log-exp associate-*l/ associate-*r/ pow-sqr pow-prod-up div-inv
1×pow2 neg-sub0 +-commutative associate-+l+ distribute-neg-in associate-+r- pow-plus div-exp neg-log prod-exp *-commutative associate-+l- cbrt-unprod
Counts
4 → 155
Calls
4 calls:
3.0ms
(cbrt (+ x y))
41.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
10.0ms
(log (/ x (cbrt (+ x y))))
172.0ms
(+ (- (log (* (cbrt (+ x y)) (cbrt (+ x y))))) (log (/ x (cbrt (+ x y)))))

series1.4s

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt (+ x y))
216.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
624.0ms
(log (/ x (cbrt (+ x y))))
419.0ms
(+ (- (log (* (cbrt (+ x y)) (cbrt (+ x y))))) (log (/ x (cbrt (+ x y)))))

simplify1.9s

Counts
167 → 167
Iterations

Useful iterations: done (1.9s)

IterNodesCost
027074011
162863084
2233060444
done500159963

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes95.0ms

Accuracy

97.4% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 6.1b

bsearch138.0ms

Steps
ItersRangePoint
9
1.6675236871481135e-12
5.1798647897020696e-05
5.105764663642185e-05
6
-3.812236742374531e+23
-6.2573470230411204e+22
-3.381665497082661e+23

simplify14.0ms

Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0231064
1291064
done291064

end0.0ms

sample3.5s

Algorithm
intervals
Results
1.1s1478×body1280valid
1.1s1550×body640valid
409.0ms4791×body80valid
297.0ms826×body320valid
203.0ms2943×body80nan
77.0ms480×body160valid