Details

Time bar (total: 4.9s)

sample32.0ms

Algorithm
intervals
Results
17.0ms487×body80valid

simplify16.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01115
12415
24215
35415
done5415

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.7b

localize12.0ms

Local error

Found 2 expressions with local error:

20.4b
(/ (* z z) (* t t))
22.2b
(/ (* x x) (* y y))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log add-cbrt-cube
8×cbrt-undiv div-exp prod-exp cbrt-unprod
2×pow1 add-sqr-sqrt add-cube-cbrt frac-2neg *-un-lft-identity times-frac clear-num associate-/r* div-inv associate-/l* add-log-exp
Counts
2 → 42
Calls
2 calls:
5.0ms
(/ (* z z) (* t t))
5.0ms
(/ (* x x) (* y y))

series52.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ (* z z) (* t t))
26.0ms
(/ (* x x) (* y y))

simplify430.0ms

Counts
48 → 48
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
090538
1267522
21106356
done5000356

prune106.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.5b

localize10.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (fabs (/ x y)) (fabs (/ x y)))
20.4b
(/ (* z z) (* t t))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
9×pow1
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity
5×prod-exp cbrt-unprod
4×cbrt-undiv div-exp
3×swap-sqr associate-*r* associate-*l*
2×add-log-exp
1×pow2 frac-2neg times-frac pow-plus pow-prod-down clear-num associate-/r* pow-sqr *-commutative pow-prod-up div-inv associate-/l* unswap-sqr
Counts
2 → 46
Calls
2 calls:
3.0ms
(* (fabs (/ x y)) (fabs (/ x y)))
5.0ms
(/ (* z z) (* t t))

series36.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* (fabs (/ x y)) (fabs (/ x y)))
29.0ms
(/ (* z z) (* t t))

simplify487.0ms

Counts
52 → 52
Iterations

Useful iterations: done (486.0ms)

IterNodesCost
076596
1189494
2751371
done5001366

prune125.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (/ z t) (/ z t))
0.3b
(* (fabs (/ x y)) (fabs (/ x y)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
40×times-frac
34×add-cube-cbrt *-un-lft-identity
16×pow1 add-exp-log swap-sqr associate-*r* associate-*l* add-cbrt-cube
5×prod-exp cbrt-unprod unswap-sqr
4×cbrt-undiv div-exp div-inv
2×pow2 pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up add-log-exp
1×frac-times associate-*r/ associate-*l/
Counts
2 → 92
Calls
2 calls:
13.0ms
(* (/ z t) (/ z t))
3.0ms
(* (fabs (/ x y)) (fabs (/ x y)))

series36.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* (/ z t) (/ z t))
7.0ms
(* (fabs (/ x y)) (fabs (/ x y)))

simplify588.0ms

Counts
98 → 98
Iterations

Useful iterations: 2 (167.0ms)

IterNodesCost
01361177
1387995
21490835
done5000835

prune244.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ z t) (/ z t))
0.5b
(pow (sqrt (fabs (/ x y))) 3)
11.0b
(sqrt (fabs (/ x y)))
11.0b
(sqrt (fabs (/ x y)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
40×times-frac
39×add-cube-cbrt *-un-lft-identity
17×add-exp-log add-cbrt-cube
15×pow1
13×swap-sqr associate-*r* associate-*l*
12×sqrt-prod
6×unpow-prod-down cube-prod
4×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
3×pow-unpow pow-pow sqrt-pow1 pow1/2
2×rem-sqrt-square
1×pow2 cube-mult frac-times pow-to-exp pow-plus unpow3 associate-*r/ pow-prod-down associate-*l/ pow-exp pow-sqr *-commutative pow-prod-up sqrt-pow2 rem-cube-cbrt sqr-pow
Counts
4 → 125
Calls
4 calls:
13.0ms
(* (/ z t) (/ z t))
2.0ms
(pow (sqrt (fabs (/ x y))) 3)
1.0ms
(sqrt (fabs (/ x y)))
1.0ms
(sqrt (fabs (/ x y)))

series64.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (/ z t) (/ z t))
18.0ms
(pow (sqrt (fabs (/ x y))) 3)
7.0ms
(sqrt (fabs (/ x y)))
8.0ms
(sqrt (fabs (/ x y)))

simplify764.0ms

Counts
137 → 137
Iterations

Useful iterations: 2 (237.0ms)

IterNodesCost
01581473
14461243
217801101
done50011101

prune330.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

regimes562.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01320
11520
done1520

end0.0ms

sample911.0ms

Algorithm
intervals
Results
540.0ms15275×body80valid