Details

Time bar (total: 15.7s)

sample33.0ms

Algorithm
intervals
Results
16.0ms487×body80valid

simplify6.0s

Counts
1 → 1
Iterations

Useful iterations: 4 (38.0ms)

IterNodesCost
01113
12113
25113
315013
434712
566612
694412
7115012
8144812
9172612
10178912
done178912

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.6b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* z z) t)
0.0b
(- (* x x) (* (* y 4.0) (- (* z z) t)))
4.3b
(* (* y 4.0) (- (* z z) t))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
16×prod-diff
11×add-sqr-sqrt
10×distribute-rgt-in distribute-lft-in associate--r+
9×add-cube-cbrt *-un-lft-identity
8×pow1 add-exp-log add-cbrt-cube
7×add-log-exp
6×sub-neg
4×associate-*r*
3×expm1-log1p-u flip3-- pow-prod-down prod-exp flip-- cbrt-unprod log1p-expm1-u
2×fma-neg diff-log associate-*r/ difference-of-squares
1×associate-*l* *-commutative
Counts
3 → 78
Calls
3 calls:
3.0ms
(- (* z z) t)
5.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
15.0ms
(* (* y 4.0) (- (* z z) t))

series178.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(- (* z z) t)
85.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
70.0ms
(* (* y 4.0) (- (* z z) t))

simplify783.0ms

Counts
87 → 87
Iterations

Useful iterations: 2 (146.0ms)

IterNodesCost
01481288
14071137
21724985
done5000985

prune232.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) (+ (* 4.0 (* (pow z 2) y)) (* (* y 4.0) (- t))))
0.0b
(* 4.0 (* (pow z 2) y))
8.1b
(* (pow z 2) y)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log
15×add-sqr-sqrt
11×associate-*l*
10×prod-exp add-cbrt-cube
8×add-cube-cbrt *-un-lft-identity add-log-exp
5×pow1
4×unpow-prod-down associate-*r* cbrt-unprod unswap-sqr
3×expm1-log1p-u prod-diff log1p-expm1-u
2×pow-to-exp diff-log pow-exp *-commutative distribute-rgt-neg-out unpow2 associate--r- sqr-pow
1×sub-neg flip3-- fma-neg unsub-neg pow-prod-down sum-log flip-- associate--r+ difference-of-squares
Counts
3 → 73
Calls
3 calls:
24.0ms
(- (* x x) (+ (* 4.0 (* (pow z 2) y)) (* (* y 4.0) (- t))))
9.0ms
(* 4.0 (* (pow z 2) y))
6.0ms
(* (pow z 2) y)

series120.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(- (* x x) (+ (* 4.0 (* (pow z 2) y)) (* (* y 4.0) (- t))))
24.0ms
(* 4.0 (* (pow z 2) y))
23.0ms
(* (pow z 2) y)

simplify574.0ms

Counts
82 → 82
Iterations

Useful iterations: 2 (109.0ms)

IterNodesCost
01341326
13341088
21340872
done5000872

prune240.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) (+ (* 4.0 (* (pow z (/ 2 2)) (* z y))) (* (* y 4.0) (- t))))
0.0b
(* 4.0 (* (pow z (/ 2 2)) (* z y)))
0.2b
(* (pow z (/ 2 2)) (* z y))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log
25×prod-exp
17×add-cbrt-cube
10×associate-*l*
9×cbrt-unprod
8×add-sqr-sqrt add-log-exp
7×add-cube-cbrt *-un-lft-identity
5×pow1
4×pow-to-exp pow-exp
3×expm1-log1p-u unpow-prod-down prod-diff log1p-expm1-u
2×diff-log associate-*r* *-commutative distribute-rgt-neg-out associate--r-
1×sub-neg flip3-- fma-neg unsub-neg pow-prod-down sum-log flip-- associate--r+ difference-of-squares sqr-pow
Counts
3 → 74
Calls
3 calls:
53.0ms
(- (* x x) (+ (* 4.0 (* (pow z (/ 2 2)) (* z y))) (* (* y 4.0) (- t))))
18.0ms
(* 4.0 (* (pow z (/ 2 2)) (* z y)))
9.0ms
(* (pow z (/ 2 2)) (* z y))

series123.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(- (* x x) (+ (* 4.0 (* (pow z (/ 2 2)) (* z y))) (* (* y 4.0) (- t))))
25.0ms
(* 4.0 (* (pow z (/ 2 2)) (* z y)))
25.0ms
(* (pow z (/ 2 2)) (* z y))

simplify719.0ms

Counts
83 → 83
Iterations

Useful iterations: 2 (138.0ms)

IterNodesCost
01421797
13851142
21574881
done5000881

prune227.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (pow z (/ 2 2))) (cbrt (pow z (/ 2 2))))
0.6b
(cbrt (pow z (/ 2 2)))
0.6b
(cbrt (pow z (/ 2 2)))
0.6b
(cbrt z)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
69×cbrt-prod
45×add-sqr-sqrt
26×unpow-prod-down
21×add-cube-cbrt *-un-lft-identity
16×unswap-sqr
14×sqr-pow
11×pow1
10×swap-sqr associate-*r* associate-*l*
9×pow1/3
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 113
Calls
4 calls:
17.0ms
(* (cbrt (pow z (/ 2 2))) (cbrt (pow z (/ 2 2))))
1.0ms
(cbrt (pow z (/ 2 2)))
1.0ms
(cbrt (pow z (/ 2 2)))
1.0ms
(cbrt z)

series801.0ms

Counts
4 → 12
Calls
4 calls:
214.0ms
(* (cbrt (pow z (/ 2 2))) (cbrt (pow z (/ 2 2))))
199.0ms
(cbrt (pow z (/ 2 2)))
193.0ms
(cbrt (pow z (/ 2 2)))
194.0ms
(cbrt z)

simplify3.9s

Counts
125 → 125
Iterations

Useful iterations: 3 (565.0ms)

IterNodesCost
01131817
11911211
2654725
32738706
done5001706

prune410.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

regimes333.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01722
12522
22822
33522
done3522

end0.0ms

sample868.0ms

Algorithm
intervals
Results
479.0ms15841×body80valid