Details

Time bar (total: 9.7s)

sample40.0ms

Algorithm
intervals
Results
16.0ms276×body80valid

simplify333.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1179
2259
3499
4719
51019
61229
71399
81519
91589
101649
111669
done1669

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
1.8b
(* (/ (- x y) (- z y)) t)

rewrite110.0ms

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:
26.0ms
(/ (- x y) (- z y))
78.0ms
(* (/ (- x y) (- z y)) t)

series231.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(/ (- x y) (- z y))
157.0ms
(* (/ (- x y) (- z y)) t)

simplify939.0ms

Counts
108 → 108
Iterations

Useful iterations: done (933.0ms)

IterNodesCost
01431303
13721269
214591191
done50001185

prune343.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- z y)) (/ y (- z y)))
0.0b
(/ y (- z y))
0.0b
(/ x (- z y))
1.8b
(* (- (/ x (- z y)) (/ y (- z y))) t)

rewrite577.0ms

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:
131.0ms
(- (/ x (- z y)) (/ y (- z y)))
19.0ms
(/ y (- z y))
16.0ms
(/ x (- z y))
398.0ms
(* (- (/ x (- z y)) (/ y (- z y))) t)

series435.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(- (/ x (- z y)) (/ y (- z y)))
48.0ms
(/ y (- z y))
55.0ms
(/ x (- z y))
233.0ms
(* (- (/ x (- z y)) (/ y (- z y))) t)

simplify860.0ms

Counts
152 → 152
Iterations

Useful iterations: done (856.0ms)

IterNodesCost
01871884
13981818
212721720
done50011718

prune514.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
1.8b
(* (- (* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- z y))) (/ y (- z y))) t)

rewrite249.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×cbrt-prod add-cube-cbrt *-un-lft-identity
6×pow1 add-exp-log add-cbrt-cube
4×associate-*l/ add-log-exp
3×pow1/3 associate-*r* associate-*l*
2×associate-*r/
1×flip3-- pow-prod-down prod-exp *-commutative frac-sub flip-- cbrt-unprod sub-div unswap-sqr
Counts
4 → 55
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
245.0ms
(* (- (* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- z y))) (/ y (- z y))) t)

series1.1s

Counts
4 → 12
Calls
4 calls:
313.0ms
(cbrt x)
289.0ms
(cbrt x)
260.0ms
(cbrt x)
268.0ms
(* (- (* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- z y))) (/ y (- z y))) t)

simplify698.0ms

Counts
67 → 67
Iterations

Useful iterations: done (695.0ms)

IterNodesCost
076786
1184771
2795573
done5000492

prune272.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- z y))
11.2b
(* (- x y) (/ t (- z y)))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*r*
9×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×associate-*l* associate-/r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 83
Calls
2 calls:
11.0ms
(/ t (- z y))
64.0ms
(* (- x y) (/ t (- z y)))

series133.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ t (- z y))
98.0ms
(* (- x y) (/ t (- z y)))

simplify1.2s

Counts
89 → 89
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0130977
1317937
21656865
done5000857

prune247.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes170.0ms

Accuracy

0% (2.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
11013
done1013

end0.0ms

sample1.0s

Algorithm
intervals
Results
427.0ms8756×body80valid