Details

Time bar (total: 4.3s)

sample21.0ms

Algorithm
intervals
Results
9.0ms325×body80valid

simplify176.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (* (- 1.0 y) z))
0.0b
(* (- 1.0 y) z)
3.6b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
9×*-un-lft-identity
8×associate-*l*
7×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
6×associate-*r*
5×add-log-exp
3×sub-neg flip3-- flip--
2×distribute-rgt-in distribute-lft-in associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×diff-log distribute-lft-out-- difference-of-squares
Counts
3 → 58
Calls
3 calls:
6.0ms
(- 1.0 (* (- 1.0 y) z))
24.0ms
(* (- 1.0 y) z)
28.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series115.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(- 1.0 (* (- 1.0 y) z))
33.0ms
(* (- 1.0 y) z)
57.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify93.0ms

Counts
67 → 67

prune127.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (* x z) (- y 1.0)))
3.7b
(* (* x z) (- y 1.0))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt *-un-lft-identity associate-*r*
4×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in add-log-exp
3×add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
2×associate-*r/
1×+-commutative flip3-- flip3-+ associate-*l* sum-log *-commutative flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
2 → 41
Calls
2 calls:
11.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
30.0ms
(* (* x z) (- y 1.0))

series125.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
55.0ms
(* (* x z) (- y 1.0))

simplify37.0ms

Counts
47 → 47

prune91.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- y 1.0))
0.2b
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
1.1b
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
2.7b
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

rewrite347.0ms

Algorithm
rewrite-expression-head
Rules
80×cbrt-div
44×associate-*r/
41×pow1
40×flip3-- flip--
38×cbrt-prod
36×add-exp-log frac-times
35×add-sqr-sqrt
33×*-un-lft-identity
23×pow-prod-down
22×prod-exp cbrt-unprod
21×add-cbrt-cube
18×associate-*l/
17×associate-*r*
15×add-cube-cbrt
10×swap-sqr associate-*l*
8×distribute-lft-out--
7×pow1/3
6×difference-of-squares
4×add-log-exp unswap-sqr
3×*-commutative
2×pow-sqr pow-prod-up
1×pow2 pow-plus
Counts
4 → 159
Calls
4 calls:
4.0ms
(cbrt (- y 1.0))
42.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
223.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
68.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

series503.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(cbrt (- y 1.0))
129.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
82.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
184.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

simplify94.0ms

Counts
171 → 171

prune427.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (/ (* (- (* 1.0 1.0) (* y y)) z) (+ 1.0 y)))
3.6b
(* x (- 1.0 (/ (* (- (* 1.0 1.0) (* y y)) z) (+ 1.0 y))))
5.4b
(* (- (* 1.0 1.0) (* y y)) z)
7.2b
(/ (* (- (* 1.0 1.0) (* y y)) z) (+ 1.0 y))

rewrite165.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt *-un-lft-identity
13×add-exp-log add-cbrt-cube
10×add-cube-cbrt
8×pow1 associate-*r*
7×associate-*l*
6×add-log-exp
4×flip3-- times-frac associate-*l/ associate-/r* flip--
3×sub-neg prod-exp cbrt-unprod difference-of-squares
2×cbrt-undiv distribute-rgt-in distribute-lft-in associate-*r/ div-exp pow-prod-down associate-/r/ *-commutative associate-/l/ distribute-lft-out distribute-lft-out-- unswap-sqr
1×frac-2neg flip3-+ diff-log clear-num flip-+ div-inv associate-/l*
Counts
4 → 88
Calls
4 calls:
21.0ms
(- 1.0 (/ (* (- (* 1.0 1.0) (* y y)) z) (+ 1.0 y)))
76.0ms
(* x (- 1.0 (/ (* (- (* 1.0 1.0) (* y y)) z) (+ 1.0 y))))
29.0ms
(* (- (* 1.0 1.0) (* y y)) z)
36.0ms
(/ (* (- (* 1.0 1.0) (* y y)) z) (+ 1.0 y))

series506.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(- 1.0 (/ (* (- (* 1.0 1.0) (* y y)) z) (+ 1.0 y)))
351.0ms
(* x (- 1.0 (/ (* (- (* 1.0 1.0) (* y y)) z) (+ 1.0 y))))
46.0ms
(* (- (* 1.0 1.0) (* y y)) z)
60.0ms
(/ (* (- (* 1.0 1.0) (* y y)) z) (+ 1.0 y))

simplify57.0ms

Counts
100 → 100

prune217.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes335.0ms

Accuracy

89.2% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.7b

bsearch1.0ms

simplify1.0ms

end0.0ms

sample685.0ms

Algorithm
intervals
Results
347.0ms10167×body80valid