Details

Time bar (total: 9.1s)

sample18.0ms

Algorithm
intervals
Results
6.0ms334×body80valid

simplify131.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2197
3287
4397
5447
6497
7587
8757
9917
101027
111047
121087
131097
done1097

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) z))
0.0b
(/ (- y x) z)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
21×add-sqr-sqrt
15×times-frac
13×add-cube-cbrt
5×associate-/l*
4×add-exp-log add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
3×fma-def associate-/r*
2×pow1 expm1-log1p-u div-sub log1p-expm1-u associate-/l/
1×cbrt-undiv +-commutative associate-+r- flip3-- frac-2neg flip3-+ div-exp clear-num sum-log flip-- flip-+ div-inv distribute-lft-out
Counts
2 → 58
Calls
2 calls:
20.0ms
(+ x (/ (- y x) z))
19.0ms
(/ (- y x) z)

series66.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(+ x (/ (- y x) z))
42.0ms
(/ (- y x) z)

simplify1.1s

Counts
64 → 64
Iterations

Useful iterations: 2 (101.0ms)

IterNodesCost
098616
1231570
2617546
32187546
done5000546

prune116.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt z)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 81
Calls
4 calls:
13.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series720.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(* (cbrt z) (cbrt z))
172.0ms
(cbrt z)
174.0ms
(cbrt z)
178.0ms
(cbrt z)

simplify3.5s

Counts
93 → 93
Iterations

Useful iterations: done (3.5s)

IterNodesCost
065554
1119443
2327423
31104405
44523400
done5001390

prune217.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- y x) z)
0.1b
(sqrt (+ x (/ (- y x) z)))
0.1b
(sqrt (+ x (/ (- y x) z)))
0.3b
(* (sqrt (+ x (/ (- y x) z))) (sqrt (+ x (/ (- y x) z))))

rewrite254.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
50×*-un-lft-identity
34×sqrt-prod
24×add-cube-cbrt
21×pow1
17×times-frac
16×sqrt-div
11×swap-sqr
10×sqrt-pow1 pow1/2
8×add-exp-log flip3-+ add-cbrt-cube flip-+ distribute-lft-out
7×associate-*r* associate-*l*
5×pow-prod-up associate-/l*
4×expm1-log1p-u frac-times hypot-def log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
3×pow-prod-down associate-/r* pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/ associate-/l/
1×cbrt-undiv pow2 flip3-- frac-2neg pow-plus sqrt-unprod div-sub div-exp prod-exp clear-num rem-square-sqrt *-commutative flip-- cbrt-unprod div-inv
Counts
4 → 144
Calls
4 calls:
16.0ms
(/ (- y x) z)
40.0ms
(sqrt (+ x (/ (- y x) z)))
39.0ms
(sqrt (+ x (/ (- y x) z)))
152.0ms
(* (sqrt (+ x (/ (- y x) z))) (sqrt (+ x (/ (- y x) z))))

series335.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ (- y x) z)
142.0ms
(sqrt (+ x (/ (- y x) z)))
141.0ms
(sqrt (+ x (/ (- y x) z)))
24.0ms
(* (sqrt (+ x (/ (- y x) z))) (sqrt (+ x (/ (- y x) z))))

simplify1.8s

Counts
156 → 156
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01712508
13571790
29711676
334931633
done50001609

prune279.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes69.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
177
done77

end0.0ms

sample473.0ms

Algorithm
intervals
Results
197.0ms10077×body80valid