Details

sample40.0ms

Algorithm

intervals

Results

19.0ms

284×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	34	11
3	55	11
4	95	11
5	157	11
6	246	11
7	282	11
8	353	11
9	496	11
10	818	11
11	2304	11
done	5000	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
1.5b	(* y (/ (- z t) (- a t)))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 113

Calls

3 calls:

13.0ms	(+ x (* y (/ (- z t) (- a t))))
33.0ms	(/ (- z t) (- a t))
73.0ms	(* y (/ (- z t) (- a t)))

series298.0ms

Counts

3 → 9

Calls

3 calls:

121.0ms	(+ x (* y (/ (- z t) (- a t))))
75.0ms	(/ (- z t) (- a t))
101.0ms	(* y (/ (- z t) (- a t)))

simplify914.0ms

Counts

122 → 122

Iterations

Useful iterations: done (910.0ms)

Iter	Nodes	Cost
0	162	1555
1	446	1466
2	1787	1374
done	5000	1368

prune330.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b	(* y (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))))
3.8b	(cbrt (/ (- z t) (- a t)))
3.8b	(cbrt (/ (- z t) (- a t)))
3.8b	(cbrt (/ (- z t) (- a t)))

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-sqr-sqrt`
98×	`*-un-lft-identity`
93×	`cbrt-prod`
75×	`times-frac`
38×	`add-cube-cbrt`
30×	`distribute-lft-out--` `difference-of-squares`
9×	`pow1` `add-exp-log`
7×	`cbrt-div` `add-cbrt-cube`
6×	`associate-/r/`
4×	`associate-*r/` `add-log-exp`
3×	`flip3--` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `div-inv`
1×	`frac-times` `associate-r` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 142

Calls

4 calls:

115.0ms	(* y (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))))
11.0ms	(cbrt (/ (- z t) (- a t)))
15.0ms	(cbrt (/ (- z t) (- a t)))
10.0ms	(cbrt (/ (- z t) (- a t)))

series1.5s

Counts

4 → 12

Calls

4 calls:

267.0ms	(* y (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))))
429.0ms	(cbrt (/ (- z t) (- a t)))
410.0ms	(cbrt (/ (- z t) (- a t)))
389.0ms	(cbrt (/ (- z t) (- a t)))

simplify1.7s

Counts

154 → 154

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	214	2876
1	451	2760
2	1079	2618
3	3926	2570
done	5002	2513

prune624.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a t))
0.5b	(cbrt (- z t))
3.8b	(cbrt (/ (- z t) (- a t)))
3.8b	(cbrt (/ (- z t) (- a t)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

72×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity`
50×	`times-frac`
28×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `associate-/r/` `add-cbrt-cube` `flip--` `add-log-exp`
2×	`div-inv`

Counts

4 → 110

Calls

4 calls:

4.0ms	(cbrt (- a t))
4.0ms	(cbrt (- z t))
10.0ms	(cbrt (/ (- z t) (- a t)))
13.0ms	(cbrt (/ (- z t) (- a t)))

series1.6s

Counts

4 → 12

Calls

4 calls:

207.0ms	(cbrt (- a t))
499.0ms	(cbrt (- z t))
435.0ms	(cbrt (/ (- z t) (- a t)))
436.0ms	(cbrt (/ (- z t) (- a t)))

simplify1.8s

Counts

122 → 122

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	223	1916
1	436	1844
2	1026	1790
3	3714	1742
done	5001	1690

prune560.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.9b	(* (cbrt y) (/ (- z t) (- a t)))
0.9b	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ (- z t) (- a t))))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
32×	`associate-r`
30×	`add-exp-log`
27×	`times-frac`
19×	`add-cube-cbrt`
18×	`pow1` `add-cbrt-cube`
15×	`prod-exp` `cbrt-unprod`
11×	`cbrt-prod`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`pow-prod-down`
7×	`associate-l`
4×	`add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `associate-*r/` `div-exp`
2×	`pow1/3` `associate-/r/` `*-commutative`
1×	`flip3--` `flip--` `div-inv`

Counts

4 → 104

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
51.0ms	(* (cbrt y) (/ (- z t) (- a t)))
76.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ (- z t) (- a t))))

series885.0ms

Counts

4 → 12

Calls

4 calls:

222.0ms	(cbrt y)
331.0ms	(cbrt y)
230.0ms	(* (cbrt y) (/ (- z t) (- a t)))
101.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ (- z t) (- a t))))

simplify2.4s

Counts

116 → 116

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	149	1484
1	417	1428
2	2599	1141
done	5001	1012

prune335.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes288.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	12	11
done	12	11

end0.0ms

sample1.2s

Algorithm

intervals

Results

501.0ms	8758×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid