Details

Time bar (total: 15.5s)

sample512.0ms

Algorithm
intervals
Results
14.0ms335×body80valid

simplify31.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0583
1783
21583
31983
done1983

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) z)

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity
4×associate-*l*
3×pow1 add-cbrt-cube associate-*r* add-exp-log add-cube-cbrt
2×associate-*l/
1×expm1-log1p-u flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ log1p-expm1-u distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 23
Calls
1 calls:
39.0ms
(* (+ x y) z)

series75.0ms

Counts
1 → 3
Calls
1 calls:
75.0ms
(* (+ x y) z)

simplify2.2s

Counts
26 → 26
Iterations

Useful iterations: 2 (121.0ms)

IterNodesCost
0474057
11153635
23533500
315243500
done50123500

prune138.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (+ x y) z)) (cbrt (* (+ x y) z)))
3.2b
(cbrt (* (+ x y) z))
3.2b
(cbrt (* (+ x y) z))
3.2b
(cbrt (* (+ x y) z))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube swap-sqr associate-*r* associate-*l* log1p-expm1-u add-log-exp
2×pow-prod-down associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 80
Calls
4 calls:
23.0ms
(* (cbrt (* (+ x y) z)) (cbrt (* (+ x y) z)))
15.0ms
(cbrt (* (+ x y) z))
11.0ms
(cbrt (* (+ x y) z))
11.0ms
(cbrt (* (+ x y) z))

series655.0ms

Counts
4 → 12
Calls
4 calls:
208.0ms
(* (cbrt (* (+ x y) z)) (cbrt (* (+ x y) z)))
171.0ms
(cbrt (* (+ x y) z))
147.0ms
(cbrt (* (+ x y) z))
129.0ms
(cbrt (* (+ x y) z))

simplify2.5s

Counts
92 → 92
Iterations

Useful iterations: done (2.5s)

IterNodesCost
014332429
134928344
285027883
3214426847
done500026392

prune591.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (+ x y) (sqrt z))
0.2b
(* (* (+ x y) (sqrt z)) (sqrt z))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
12×associate-*r*
11×add-sqr-sqrt
9×pow1 *-un-lft-identity add-cbrt-cube add-exp-log
7×add-cube-cbrt sqrt-prod
6×associate-*l/
5×associate-*l*
4×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-+ *-commutative flip-+ log1p-expm1-u add-log-exp unswap-sqr
1×distribute-lft-out
Counts
2 → 52
Calls
2 calls:
33.0ms
(* (+ x y) (sqrt z))
64.0ms
(* (* (+ x y) (sqrt z)) (sqrt z))

series114.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(* (+ x y) (sqrt z))
49.0ms
(* (* (+ x y) (sqrt z)) (sqrt z))

simplify3.3s

Counts
58 → 58
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
08512835
122510114
28039664
325879574
done50019574

prune251.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ (* (- (* x x) (* y y)) (sqrt z)) (- x y)) (sqrt z))
2.6b
(- (* x x) (* y y))
3.5b
(* (- (* x x) (* y y)) (sqrt z))
10.9b
(/ (* (- (* x x) (* y y)) (sqrt z)) (- x y))

rewrite176.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
20×add-cbrt-cube add-exp-log
19×*-un-lft-identity
15×associate-*l*
13×add-cube-cbrt
12×associate-*r*
10×times-frac
8×pow1 sqrt-prod
6×prod-exp cbrt-unprod add-log-exp
5×associate-/r* flip3-- associate-*l/ flip-- difference-of-squares
4×expm1-log1p-u cbrt-undiv div-exp associate-/r/ log1p-expm1-u unswap-sqr
3×distribute-lft-out--
2×pow-prod-down *-commutative div-inv associate-/l/
1×clear-num sub-neg frac-2neg fma-neg diff-log prod-diff associate-/l*
Counts
4 → 112
Calls
4 calls:
71.0ms
(* (/ (* (- (* x x) (* y y)) (sqrt z)) (- x y)) (sqrt z))
16.0ms
(- (* x x) (* y y))
45.0ms
(* (- (* x x) (* y y)) (sqrt z))
40.0ms
(/ (* (- (* x x) (* y y)) (sqrt z)) (- x y))

series393.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(* (/ (* (- (* x x) (* y y)) (sqrt z)) (- x y)) (sqrt z))
58.0ms
(- (* x x) (* y y))
125.0ms
(* (- (* x x) (* y y)) (sqrt z))
94.0ms
(/ (* (- (* x x) (* y y)) (sqrt z)) (- x y))

simplify2.2s

Counts
124 → 124
Iterations

Useful iterations: done (2.2s)

IterNodesCost
018040728
149233957
2181832116
done500131669

prune692.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes264.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0583
1783
done783

end0.0ms

sample1.0s

Algorithm
intervals
Results
306.0ms10152×body80valid