Details

Time bar (total: 21.3s)

sample55.0ms

Algorithm
intervals
Results
23.0ms322×body80valid

simplify68.0ms

Counts
1 → 1
Iterations
IterNodes
done54
754
651
548
442
335
229
116
010

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
0.0b
(/ (+ x 4.0) y)
3.2b
(* (/ x y) z)

rewrite144.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
25×add-sqr-sqrt
22×times-frac
20×add-cube-cbrt
13×associate-*l*
10×add-cbrt-cube add-exp-log
5×pow1 add-log-exp
4×distribute-lft-out associate-/l*
3×associate-/r* associate-*r* associate-*l/
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr associate-/l/
1×clear-num sub-neg frac-2neg flip3-+ flip3-- diff-log pow-prod-down *-commutative frac-sub flip-+ flip-- sub-div
Counts
3 → 79
Calls
3 calls:
87.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
28.0ms
(/ (+ x 4.0) y)
24.0ms
(* (/ x y) z)

series141.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
41.0ms
(/ (+ x 4.0) y)
38.0ms
(* (/ x y) z)

simplify1.2s

Counts
88 → 88
Iterations
IterNodes
done5000
21132
1351
0142

prune603.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ 4.0 y) (* (/ x y) (- 1 z)))
3.1b
(* (/ x y) (- 1 z))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×*-un-lft-identity associate-*l*
10×times-frac add-cube-cbrt
7×add-cbrt-cube add-exp-log
6×associate-*r*
5×frac-add
4×distribute-rgt-in frac-times pow1 associate-+r+ sub-neg distribute-lft-in flip3-- associate-*r/ flip-- add-log-exp
2×associate-*l/ prod-exp cbrt-unprod difference-of-squares unswap-sqr
1×cbrt-undiv +-commutative sum-log flip3-+ div-exp pow-prod-down *-commutative flip-+ div-inv distribute-lft-out--
Counts
2 → 63
Calls
2 calls:
32.0ms
(+ (/ 4.0 y) (* (/ x y) (- 1 z)))
24.0ms
(* (/ x y) (- 1 z))

series168.0ms

Counts
2 → 6
Calls
2 calls:
90.0ms
(+ (/ 4.0 y) (* (/ x y) (- 1 z)))
78.0ms
(* (/ x y) (- 1 z))

simplify1.6s

Counts
69 → 69
Iterations
IterNodes
done5010
21602
1404
0140

prune433.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- 1 z))
0.2b
(cbrt (- 1 z))
0.8b
(* (* (/ x y) (* (cbrt (- 1 z)) (cbrt (- 1 z)))) (cbrt (- 1 z)))
2.4b
(* (/ x y) (* (cbrt (- 1 z)) (cbrt (- 1 z))))

rewrite374.0ms

Algorithm
rewrite-expression-head
Rules
136×cbrt-div
98×frac-times
68×flip3-- flip--
50×associate-*r/
37×associate-*l/
34×add-exp-log
27×add-sqr-sqrt
24×*-un-lft-identity
21×add-cbrt-cube
18×cbrt-prod pow1
17×prod-exp cbrt-unprod
15×add-cube-cbrt
14×associate-*l*
10×times-frac associate-*r*
9×pow-prod-down
6×difference-of-squares
4×cbrt-undiv div-exp add-log-exp
3×distribute-lft-out--
2×pow1/3 *-commutative unswap-sqr
1×div-inv
Counts
4 → 167
Calls
4 calls:
3.0ms
(cbrt (- 1 z))
3.0ms
(cbrt (- 1 z))
249.0ms
(* (* (/ x y) (* (cbrt (- 1 z)) (cbrt (- 1 z)))) (cbrt (- 1 z)))
107.0ms
(* (/ x y) (* (cbrt (- 1 z)) (cbrt (- 1 z))))

series299.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(cbrt (- 1 z))
46.0ms
(cbrt (- 1 z))
63.0ms
(* (* (/ x y) (* (cbrt (- 1 z)) (cbrt (- 1 z)))) (cbrt (- 1 z)))
145.0ms
(* (/ x y) (* (cbrt (- 1 z)) (cbrt (- 1 z))))

simplify2.0s

Counts
179 → 179
Iterations
IterNodes
done5001
22070
1793
0295

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (cbrt (- 1 z)))
0.3b
(cbrt (* (cbrt (- 1 z)) (cbrt (- 1 z))))
0.8b
(* (* (/ x y) (* (cbrt (- 1 z)) (* (cbrt (* (cbrt (- 1 z)) (cbrt (- 1 z)))) (cbrt (cbrt (- 1 z)))))) (cbrt (- 1 z)))
2.4b
(* (/ x y) (* (cbrt (- 1 z)) (* (cbrt (* (cbrt (- 1 z)) (cbrt (- 1 z)))) (cbrt (cbrt (- 1 z))))))

rewrite1.3s

Algorithm
rewrite-expression-head
Rules
3084×cbrt-div
1734×frac-times
1033×flip3-- flip--
724×associate-*r/
519×associate-*l/
54×add-exp-log
31×add-cbrt-cube prod-exp cbrt-unprod
27×pow1
22×cbrt-prod
21×add-sqr-sqrt *-un-lft-identity
16×pow-prod-down
15×add-cube-cbrt
14×associate-*l*
10×associate-*r*
9×times-frac
6×cbrt-undiv div-exp
4×add-log-exp difference-of-squares
2×pow1/3 *-commutative distribute-lft-out--
1×div-inv
Counts
4 → 755
Calls
4 calls:
5.0ms
(cbrt (cbrt (- 1 z)))
12.0ms
(cbrt (* (cbrt (- 1 z)) (cbrt (- 1 z))))
809.0ms
(* (* (/ x y) (* (cbrt (- 1 z)) (* (cbrt (* (cbrt (- 1 z)) (cbrt (- 1 z)))) (cbrt (cbrt (- 1 z)))))) (cbrt (- 1 z)))
254.0ms
(* (/ x y) (* (cbrt (- 1 z)) (* (cbrt (* (cbrt (- 1 z)) (cbrt (- 1 z)))) (cbrt (cbrt (- 1 z))))))

series315.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(cbrt (cbrt (- 1 z)))
38.0ms
(cbrt (* (cbrt (- 1 z)) (cbrt (- 1 z))))
63.0ms
(* (* (/ x y) (* (cbrt (- 1 z)) (* (cbrt (* (cbrt (- 1 z)) (cbrt (- 1 z)))) (cbrt (cbrt (- 1 z)))))) (cbrt (- 1 z)))
161.0ms
(* (/ x y) (* (cbrt (- 1 z)) (* (cbrt (* (cbrt (- 1 z)) (cbrt (- 1 z)))) (cbrt (cbrt (- 1 z))))))

simplify2.8s

Counts
767 → 767
Iterations
IterNodes
done5000
13846
01351

prune6.7s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes263.0ms

Accuracy

73.7% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.5b

bsearch106.0ms

Steps
ItersRangePoint
7
1.3961012349491572e-162
2.089064597584604e-160
1.0296033599100243e-161
7
-20115983647.1179
-81829953.9245951
-16246640829.172636

simplify7.0ms

Iterations
IterNodes
done31
131
022

end0.0ms

sample1.5s

Algorithm
intervals
Results
978.0ms10040×body80valid