Details

Time bar (total: 6.0s)

sample19.0ms

Algorithm
intervals
Results
6.0ms284×body80valid

simplify54.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0174
1254
2494
3724
41054
51224
61394
71494
81564
91604
101644
112594
122974
133194
144054
154744
165324
176264
187024
197114
207114
done7114

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
2.5b
(* (/ (- x y) (- z y)) t)

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*l*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*r* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
20.0ms
(/ (- x y) (- z y))
44.0ms
(* (/ (- x y) (- z y)) t)

series151.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ (- x y) (- z y))
99.0ms
(* (/ (- x y) (- z y)) t)

simplify94.0ms

Counts
108 → 108
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0360653
11125612
24528611
35002611
done5002611

prune198.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (- z y))
0.0b
(/ y (- z y))
0.0b
(- (/ x (- z y)) (/ y (- z y)))
2.5b
(* (- (/ x (- z y)) (/ y (- z y))) t)

rewrite357.0ms

Algorithm
rewrite-expression-head
Rules
98×*-un-lft-identity
80×add-sqr-sqrt
66×times-frac
32×distribute-lft-out--
30×add-cube-cbrt
20×difference-of-squares
18×associate-*l*
12×associate-/r/
10×add-exp-log associate-/r* add-cbrt-cube
8×flip3-- flip--
6×pow1 distribute-rgt-out-- div-inv associate-/l* add-log-exp
4×associate-*l/
3×associate-*r*
2×cbrt-undiv frac-2neg div-exp clear-num frac-sub sub-div
1×sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 140
Calls
4 calls:
11.0ms
(/ x (- z y))
10.0ms
(/ y (- z y))
77.0ms
(- (/ x (- z y)) (/ y (- z y)))
253.0ms
(* (- (/ x (- z y)) (/ y (- z y))) t)

series281.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(/ x (- z y))
47.0ms
(/ y (- z y))
65.0ms
(- (/ x (- z y)) (/ y (- z y)))
139.0ms
(* (- (/ x (- z y)) (/ y (- z y))) t)

simplify98.0ms

Counts
152 → 152
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0376922
11210874
24313872
35002872
done5002872

prune310.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (- (/ x (- z y)) (/ y (- z y)))) (cbrt (- (/ x (- z y)) (/ y (- z y)))))
4.2b
(cbrt (- (/ x (- z y)) (/ y (- z y))))
4.2b
(cbrt (- (/ x (- z y)) (/ y (- z y))))
4.2b
(cbrt (- (/ x (- z y)) (/ y (- z y))))

rewrite585.0ms

Algorithm
rewrite-expression-head
Rules
337×*-un-lft-identity
174×times-frac
158×cbrt-prod
149×add-sqr-sqrt
134×distribute-lft-out--
52×cbrt-div
42×difference-of-squares
35×swap-sqr
29×add-cube-cbrt
28×associate-/r/
27×flip3-- flip--
21×distribute-rgt-out-- associate-*r* associate-*l*
16×frac-times
14×div-inv
13×frac-sub sub-div
11×pow1
9×pow1/3
6×add-exp-log
4×associate-*r/ associate-*l/ add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 213
Calls
4 calls:
416.0ms
(* (cbrt (- (/ x (- z y)) (/ y (- z y)))) (cbrt (- (/ x (- z y)) (/ y (- z y)))))
50.0ms
(cbrt (- (/ x (- z y)) (/ y (- z y))))
52.0ms
(cbrt (- (/ x (- z y)) (/ y (- z y))))
49.0ms
(cbrt (- (/ x (- z y)) (/ y (- z y))))

series857.0ms

Counts
4 → 12
Calls
4 calls:
240.0ms
(* (cbrt (- (/ x (- z y)) (/ y (- z y)))) (cbrt (- (/ x (- z y)) (/ y (- z y)))))
205.0ms
(cbrt (- (/ x (- z y)) (/ y (- z y))))
206.0ms
(cbrt (- (/ x (- z y)) (/ y (- z y))))
205.0ms
(cbrt (- (/ x (- z y)) (/ y (- z y))))

simplify112.0ms

Counts
225 → 225
Iterations

Useful iterations: 3 (80.0ms)

IterNodesCost
04173327
112313232
243602940
350032924
done50032924

prune632.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- z y)) (cbrt (pow (/ y (- z y)) 3)))
0.1b
(pow (/ y (- z y)) 3)
2.5b
(* (- (/ x (- z y)) (cbrt (pow (/ y (- z y)) 3))) t)
12.3b
(cbrt (pow (/ y (- z y)) 3))

rewrite606.0ms

Algorithm
rewrite-expression-head
Rules
144×add-sqr-sqrt
82×times-frac
72×cbrt-prod *-un-lft-identity
50×unpow-prod-down cube-prod
44×add-cube-cbrt
40×difference-of-squares
18×associate-*l*
14×distribute-lft-out--
9×add-exp-log add-cbrt-cube
8×associate-/r/
7×pow1
6×flip3-- flip-- add-log-exp sqr-pow
4×cube-div div-inv
3×pow-unpow cbrt-div associate-*r* associate-*l/
2×cube-mult unpow3 pow-exp frac-sub rem-cube-cbrt
1×cbrt-undiv pow-to-exp sub-neg pow-pow pow1/3 diff-log div-exp pow-prod-down prod-exp *-commutative rem-cbrt-cube cbrt-unprod unswap-sqr
Counts
4 → 184
Calls
4 calls:
123.0ms
(- (/ x (- z y)) (cbrt (pow (/ y (- z y)) 3)))
14.0ms
(pow (/ y (- z y)) 3)
443.0ms
(* (- (/ x (- z y)) (cbrt (pow (/ y (- z y)) 3))) t)
18.0ms
(cbrt (pow (/ y (- z y)) 3))

series398.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(- (/ x (- z y)) (cbrt (pow (/ y (- z y)) 3)))
87.0ms
(pow (/ y (- z y)) 3)
170.0ms
(* (- (/ x (- z y)) (cbrt (pow (/ y (- z y)) 3))) t)
63.0ms
(cbrt (pow (/ y (- z y)) 3))

simplify77.0ms

Counts
196 → 196
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
06061584
124841431
250021418
done50021418

prune340.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes118.0ms

Accuracy

5% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.4b

bsearch45.0ms

Steps
ItersRangePoint
5
1.2678104251076142e-153
5.015199544650957e-153
3.4855028248800246e-153
8
-5.877564606977761e-235
-5.6195129657783565e-238
-4.3028614655044076e-237

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02310
12310
done2310

end0.0ms

sample515.0ms

Algorithm
intervals
Results
216.0ms8831×body80valid