Details

Time bar (total: 13.8s)

sample23.0ms

Algorithm
intervals
Results
9.0ms326×body80valid

simplify4.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2349
3849
42319
57999
639999
done50019

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
3.3b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×*-un-lft-identity associate-*l*
6×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
1×distribute-lft-out-- difference-of-squares
Counts
2 → 46
Calls
2 calls:
22.0ms
(* (- 1.0 y) z)
18.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series98.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(* (- 1.0 y) z)
56.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify554.0ms

Counts
52 → 52
Iterations

Useful iterations: done (552.0ms)

IterNodesCost
093536
1226518
2881464
done5000462

prune113.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.4b

localize14.0ms

Local error

Found 4 expressions with local error:

1.1b
(* x (* (cbrt (- 1.0 (* (- 1.0 y) z))) (cbrt (- 1.0 (* (- 1.0 y) z)))))
3.6b
(cbrt (- 1.0 (* (- 1.0 y) z)))
3.6b
(cbrt (- 1.0 (* (- 1.0 y) z)))
3.6b
(cbrt (- 1.0 (* (- 1.0 y) z)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×associate-*r/
9×pow1 add-exp-log cbrt-prod add-sqr-sqrt flip3-- flip--
8×add-cube-cbrt *-un-lft-identity
7×add-cbrt-cube
4×frac-times add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
2×associate-*l/
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 66
Calls
4 calls:
48.0ms
(* x (* (cbrt (- 1.0 (* (- 1.0 y) z))) (cbrt (- 1.0 (* (- 1.0 y) z)))))
3.0ms
(cbrt (- 1.0 (* (- 1.0 y) z)))
3.0ms
(cbrt (- 1.0 (* (- 1.0 y) z)))
3.0ms
(cbrt (- 1.0 (* (- 1.0 y) z)))

series596.0ms

Counts
4 → 12
Calls
4 calls:
258.0ms
(* x (* (cbrt (- 1.0 (* (- 1.0 y) z))) (cbrt (- 1.0 (* (- 1.0 y) z)))))
118.0ms
(cbrt (- 1.0 (* (- 1.0 y) z)))
108.0ms
(cbrt (- 1.0 (* (- 1.0 y) z)))
111.0ms
(cbrt (- 1.0 (* (- 1.0 y) z)))

simplify2.2s

Counts
78 → 78
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01481789
13891700
211171544
346341387
done50001355

prune328.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 3.4b

localize12.0ms

Local error

Found 3 expressions with local error:

3.3b
(* x (- 1.0 (/ (* (- (* 1.0 1.0) (* y y)) z) (+ 1.0 y))))
4.0b
(* (- (* 1.0 1.0) (* y y)) z)
6.0b
(/ (* (- (* 1.0 1.0) (* y y)) z) (+ 1.0 y))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt *-un-lft-identity
12×add-exp-log add-cbrt-cube
9×add-cube-cbrt
8×associate-*r*
7×pow1 associate-*l*
4×times-frac associate-*l/ associate-/r*
3×flip3-- prod-exp flip-- cbrt-unprod add-log-exp
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in associate-*r/ div-exp pow-prod-down associate-/r/ *-commutative associate-/l/ distribute-lft-out difference-of-squares unswap-sqr
1×frac-2neg flip3-+ clear-num flip-+ div-inv associate-/l* distribute-lft-out--
Counts
3 → 74
Calls
3 calls:
76.0ms
(* x (- 1.0 (/ (* (- (* 1.0 1.0) (* y y)) z) (+ 1.0 y))))
33.0ms
(* (- (* 1.0 1.0) (* y y)) z)
28.0ms
(/ (* (- (* 1.0 1.0) (* y y)) z) (+ 1.0 y))

series218.0ms

Counts
3 → 9
Calls
3 calls:
109.0ms
(* x (- 1.0 (/ (* (- (* 1.0 1.0) (* y y)) z) (+ 1.0 y))))
46.0ms
(* (- (* 1.0 1.0) (* y y)) z)
63.0ms
(/ (* (- (* 1.0 1.0) (* y y)) z) (+ 1.0 y))

simplify1.4s

Counts
83 → 83
Iterations

Useful iterations: 2 (326.0ms)

IterNodesCost
01461410
14221353
223741173
done50011173

prune226.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 3.4b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ z (+ 1.0 y))
3.3b
(* x (- 1.0 (* (- (* 1.0 1.0) (* y y)) (/ z (+ 1.0 y)))))
12.7b
(* (- (* 1.0 1.0) (* y y)) (/ z (+ 1.0 y)))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
30×add-sqr-sqrt
25×times-frac
23×add-cube-cbrt
21×associate-*r*
12×add-exp-log add-cbrt-cube
7×pow1 associate-*l* distribute-lft-out
4×associate-/r* associate-/r/
3×flip3-- associate-*r/ prod-exp flip-- cbrt-unprod associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv distribute-rgt-in frac-times sub-neg distribute-lft-in flip3-+ div-exp pow-prod-down associate-*l/ *-commutative flip-+ div-inv
1×frac-2neg clear-num difference-of-squares
Counts
3 → 99
Calls
3 calls:
11.0ms
(/ z (+ 1.0 y))
17.0ms
(* x (- 1.0 (* (- (* 1.0 1.0) (* y y)) (/ z (+ 1.0 y)))))
53.0ms
(* (- (* 1.0 1.0) (* y y)) (/ z (+ 1.0 y)))

series248.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ z (+ 1.0 y))
126.0ms
(* x (- 1.0 (* (- (* 1.0 1.0) (* y y)) (/ z (+ 1.0 y)))))
72.0ms
(* (- (* 1.0 1.0) (* y y)) (/ z (+ 1.0 y)))

simplify1.9s

Counts
108 → 108
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01771749
14981666
227531496
done50001478

prune328.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 3.4b

regimes221.0ms

Accuracy

0% (0.1b remaining)

Error of 3.0b against oracle of 2.9b and baseline of 3.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1109
done109

end0.0ms

sample969.0ms

Algorithm
intervals
Results
463.0ms10074×body80valid