Details

Time bar (total: 12.8s)

sample35.0ms

Algorithm
intervals
Results
17.0ms400×body80valid

simplify50.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2329
3579
4589
done589

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (* x x) (* (* y 4.0) z))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 12
Calls
1 calls:
12.0ms
(- (* x x) (* (* y 4.0) z))

series76.0ms

Counts
1 → 3
Calls
1 calls:
76.0ms
(- (* x x) (* (* y 4.0) z))

simplify2.6s

Counts
15 → 15
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
035220
1100213
2342185
31487185
done5000185

prune32.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (* x x) (* (* y 4.0) z))) (cbrt (- (* x x) (* (* y 4.0) z))))
3.9b
(cbrt (- (* x x) (* (* y 4.0) z)))
3.9b
(cbrt (- (* x x) (* (* y 4.0) z)))
3.9b
(cbrt (- (* x x) (* (* y 4.0) z)))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
83.0ms
(* (cbrt (- (* x x) (* (* y 4.0) z))) (cbrt (- (* x x) (* (* y 4.0) z))))
9.0ms
(cbrt (- (* x x) (* (* y 4.0) z)))
10.0ms
(cbrt (- (* x x) (* (* y 4.0) z)))
10.0ms
(cbrt (- (* x x) (* (* y 4.0) z)))

series517.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(* (cbrt (- (* x x) (* (* y 4.0) z))) (cbrt (- (* x x) (* (* y 4.0) z))))
112.0ms
(cbrt (- (* x x) (* (* y 4.0) z)))
121.0ms
(cbrt (- (* x x) (* (* y 4.0) z)))
146.0ms
(cbrt (- (* x x) (* (* y 4.0) z)))

simplify1.9s

Counts
99 → 99
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01222391
12622224
27642000
323711799
done50011737

prune338.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (* (* y 4.0) z))
0.2b
(* (* (* y 4.0) z) (* (* y 4.0) z))
1.4b
(- (pow x 4) (* (* (* y 4.0) z) (* (* y 4.0) z)))
31.1b
(/ (- (pow x 4) (* (* (* y 4.0) z) (* (* y 4.0) z))) (+ (* x x) (* (* y 4.0) z)))

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
118×pow1
66×pow-prod-down
42×add-exp-log add-cbrt-cube
27×prod-exp cbrt-unprod
25×add-sqr-sqrt
18×times-frac
15×add-cube-cbrt *-un-lft-identity difference-of-squares
9×pow-sqr pow-prod-up
8×add-log-exp
6×associate-/l*
5×unpow-prod-down sqr-pow
3×pow-plus associate-/r*
2×flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative pow2 sub-neg frac-2neg diff-log div-sub swap-sqr div-exp associate-*r* associate-*l* clear-num sum-log *-commutative div-inv
Counts
4 → 130
Calls
4 calls:
9.0ms
(+ (* x x) (* (* y 4.0) z))
95.0ms
(* (* (* y 4.0) z) (* (* y 4.0) z))
18.0ms
(- (pow x 4) (* (* (* y 4.0) z) (* (* y 4.0) z)))
43.0ms
(/ (- (pow x 4) (* (* (* y 4.0) z) (* (* y 4.0) z))) (+ (* x x) (* (* y 4.0) z)))

series304.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(+ (* x x) (* (* y 4.0) z))
57.0ms
(* (* (* y 4.0) z) (* (* y 4.0) z))
98.0ms
(- (pow x 4) (* (* (* y 4.0) z) (* (* y 4.0) z)))
98.0ms
(/ (- (pow x 4) (* (* (* y 4.0) z) (* (* y 4.0) z))) (+ (* x x) (* (* y 4.0) z)))

simplify1.4s

Counts
142 → 142
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01893127
14882823
219132455
done50002256

prune306.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

3.7b
(/ (+ (* x x) (* 4.0 (* z y))) (* (cbrt (+ (* x x) (* (* y 4.0) z))) (cbrt (+ (* x x) (* (* y 4.0) z)))))
3.9b
(cbrt (+ (* x x) (* (* y 4.0) z)))
3.9b
(cbrt (+ (* x x) (* (* y 4.0) z)))
3.9b
(cbrt (+ (* x x) (* (* y 4.0) z)))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×flip3-+ flip-+
9×add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×associate-/r/
7×add-cbrt-cube
4×pow1 frac-times add-log-exp
3×times-frac pow1/3 associate-/l*
2×cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/l/
1×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 70
Calls
4 calls:
57.0ms
(/ (+ (* x x) (* 4.0 (* z y))) (* (cbrt (+ (* x x) (* (* y 4.0) z))) (cbrt (+ (* x x) (* (* y 4.0) z)))))
7.0ms
(cbrt (+ (* x x) (* (* y 4.0) z)))
7.0ms
(cbrt (+ (* x x) (* (* y 4.0) z)))
7.0ms
(cbrt (+ (* x x) (* (* y 4.0) z)))

series474.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(/ (+ (* x x) (* 4.0 (* z y))) (* (cbrt (+ (* x x) (* (* y 4.0) z))) (cbrt (+ (* x x) (* (* y 4.0) z)))))
124.0ms
(cbrt (+ (* x x) (* (* y 4.0) z)))
116.0ms
(cbrt (+ (* x x) (* (* y 4.0) z)))
116.0ms
(cbrt (+ (* x x) (* (* y 4.0) z)))

simplify2.7s

Counts
82 → 82
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01222198
13212136
29621864
333891783
done50001678

prune397.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes177.0ms

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 (1.0ms)

IterNodesCost
089
1109
done109

end0.0ms

sample1.2s

Algorithm
intervals
Results
545.0ms12306×body80valid