Details

Time bar (total: 6.6m)

sample41.0ms

Algorithm
intervals
Results
23.0ms316×body80valid

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
done10
110
07

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* x y) (* z t))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
9×*-un-lft-identity
4×associate-*l* distribute-lft-out
3×add-log-exp
1×add-sqr-sqrt pow1 +-commutative sum-log flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+ insert-posit16
Counts
1 → 16
Calls
1 calls:
46.0ms
(+ (* x y) (* z t))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(+ (* x y) (* z t))

simplify2.8s

Counts
19 → 19
Iterations
IterNodes
done5000
42486
3937
2339
1102
032

prune86.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
1.3b
(cbrt (+ (* x y) (* z t)))
1.3b
(cbrt (+ (* x y) (* z t)))
1.3b
(cbrt (+ (* x y) (* z t)))

rewrite394.0ms

Algorithm
rewrite-expression-head
Rules
143×*-un-lft-identity
93×cbrt-prod
70×associate-*l*
60×distribute-lft-out
30×swap-sqr
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×associate-*r*
9×flip3-+ pow1/3 flip-+
8×add-cbrt-cube
6×add-exp-log
4×frac-times cbrt-unprod insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative
Counts
4 → 138
Calls
4 calls:
283.0ms
(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
31.0ms
(cbrt (+ (* x y) (* z t)))
39.0ms
(cbrt (+ (* x y) (* z t)))
32.0ms
(cbrt (+ (* x y) (* z t)))

series693.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
188.0ms
(cbrt (+ (* x y) (* z t)))
147.0ms
(cbrt (+ (* x y) (* z t)))
171.0ms
(cbrt (+ (* x y) (* z t)))

simplify2.1s

Counts
150 → 150
Iterations
IterNodes
done5002
32765
2982
1354
0133

prune587.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* z t) (* z t))
0.3b
(* (* x y) (* x y))
1.3b
(- (* (* x y) (* x y)) (* (* z t) (* z t)))
23.8b
(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (- (* x y) (* z t)))

rewrite1.9s

Algorithm
rewrite-expression-head
Rules
5956×add-sqr-sqrt
2804×unswap-sqr
2104×*-un-lft-identity
1493×difference-of-squares
1199×times-frac
1142×associate-*l*
912×swap-sqr
765×distribute-lft-out--
244×*-commutative
150×add-cube-cbrt
109×associate-/l*
82×pow1
48×associate-*r*
34×pow-prod-down
30×add-cbrt-cube add-exp-log
16×prod-exp cbrt-unprod
11×associate-/r*
8×pow-sqr pow-prod-up
6×add-log-exp
4×pow-plus insert-posit16
3×flip3-- flip--
2×pow2 associate-/r/ associate-/l/
1×cbrt-undiv clear-num sub-neg frac-2neg diff-log div-sub div-exp div-inv
Counts
4 → 1604
Calls
4 calls:
46.0ms
(* (* z t) (* z t))
46.0ms
(* (* x y) (* x y))
461.0ms
(- (* (* x y) (* x y)) (* (* z t) (* z t)))
1.2s
(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (- (* x y) (* z t)))

series365.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (* z t) (* z t))
41.0ms
(* (* x y) (* x y))
183.0ms
(- (* (* x y) (* x y)) (* (* z t) (* z t)))
94.0ms
(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (- (* x y) (* z t)))

simplify2.3s

Counts
1616 → 1616
Iterations
IterNodes
done5003
12203
0895

prune3.6s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize66.0ms

Local error

Found 4 expressions with local error:

1.5b
(+ (* (* z t) (* z t)) (* (* x y) (* z t)))
3.9b
(* (* x y) (* z t))
24.2b
(* (/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (- (* (* (* x y) (* x y)) (* x y)) (* (* (* z t) (* z t)) (* z t)))) (+ (* (* x y) (* x y)) (+ (* (* z t) (* z t)) (* (* x y) (* z t)))))
37.2b
(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (- (* (* (* x y) (* x y)) (* x y)) (* (* (* z t) (* z t)) (* z t))))

rewrite1.5m

Algorithm
rewrite-expression-head
Rules
832813×add-sqr-sqrt
541226×unswap-sqr
145266×difference-of-squares
108801×associate-*l*
95520×swap-sqr
88401×*-un-lft-identity
87201×times-frac
32244×*-commutative
27204×distribute-lft-out--
1776×pow3
1600×associate-/r*
1044×add-cube-cbrt
1028×frac-times
888×difference-cubes
516×flip3-+ flip-+
514×associate-*l/
436×associate-/l*
97×associate-*r*
68×distribute-lft-out
24×distribute-rgt-out
23×add-cbrt-cube add-exp-log
18×pow1
10×prod-exp cbrt-unprod
9×pow-prod-down
8×associate-/l/
6×flip3-- flip-- add-log-exp
5×+-commutative
4×distribute-rgt-in associate-+r+ clear-num frac-2neg distribute-lft-in associate-/r/ insert-posit16
2×cbrt-undiv div-exp associate-*r/ div-inv
1×sum-log div-sub
Counts
4 → 89430
Calls
4 calls:
347.0ms
(+ (* (* z t) (* z t)) (* (* x y) (* z t)))
87.0ms
(* (* x y) (* z t))
47.0s
(* (/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (- (* (* (* x y) (* x y)) (* x y)) (* (* (* z t) (* z t)) (* z t)))) (+ (* (* x y) (* x y)) (+ (* (* z t) (* z t)) (* (* x y) (* z t)))))
5.3s
(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (- (* (* (* x y) (* x y)) (* x y)) (* (* (* z t) (* z t)) (* z t))))

series585.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(+ (* (* z t) (* z t)) (* (* x y) (* z t)))
50.0ms
(* (* x y) (* z t))
259.0ms
(* (/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (- (* (* (* x y) (* x y)) (* x y)) (* (* (* z t) (* z t)) (* z t)))) (+ (* (* x y) (* x y)) (+ (* (* z t) (* z t)) (* (* x y) (* z t)))))
138.0ms
(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (- (* (* (* x y) (* x y)) (* x y)) (* (* (* z t) (* z t)) (* z t))))

simplify1.8m

Counts
89442 → 89442
Iterations
IterNodes
done22445
022445

prune3.1m

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes281.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done10
110
07

end0.0ms

sample964.0ms

Algorithm
intervals
Results
619.0ms10337×body80valid