Details

sample28.0ms

Algorithm

intervals

Results

11.0ms	280×	body	80	valid
0.0ms	1×	body	160	valid

simplify816.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	18	11
2	33	11
3	58	11
4	101	11
5	132	11
6	159	11
7	181	11
8	224	11
9	281	11
10	313	11
11	355	11
12	390	11
13	402	11
done	402	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.6b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- z a)))
0.0b	(* y (- z t))
12.2b	(/ (* y (- z t)) (- z a))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

30.0ms	(+ x (/ (* y (- z t)) (- z a)))
44.0ms	(* y (- z t))
47.0ms	(/ (* y (- z t)) (- z a))

series315.0ms

Counts

3 → 9

Calls

3 calls:

136.0ms	(+ x (/ (* y (- z t)) (- z a)))
60.0ms	(* y (- z t))
119.0ms	(/ (* y (- z t)) (- z a))

simplify3.6s

Counts

76 → 76

Iterations

Useful iterations: 2 (212.0ms)

Iter	Nodes	Cost
0	128	846
1	337	793
2	1076	715
3	4839	715
done	5000	715

prune303.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
2.1b	(* y (/ (- z t) (- z a)))

rewrite139.0ms

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:

17.0ms	(+ x (* y (/ (- z t) (- z a))))
45.0ms	(/ (- z t) (- z a))
68.0ms	(* y (/ (- z t) (- z a)))

series320.0ms

Counts

3 → 9

Calls

3 calls:

136.0ms	(+ x (* y (/ (- z t) (- z a))))
89.0ms	(/ (- z t) (- z a))
95.0ms	(* y (/ (- z t) (- z a)))

simplify2.2s

Counts

122 → 122

Iterations

Useful iterations: 2 (245.0ms)

Iter	Nodes	Cost
0	162	1555
1	419	1454
2	1176	1368
3	3710	1368
done	5001	1368

prune304.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z a))
0.5b	(cbrt (- z a))
0.5b	(cbrt (- z a))
5.2b	(* (/ y (* (cbrt (- z a)) (cbrt (- z a)))) (/ (- z t) (cbrt (- z a))))

rewrite212.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
50×	`times-frac`
46×	`associate-r`
42×	`cbrt-prod`
28×	`add-cube-cbrt`
25×	`add-exp-log`
20×	`cbrt-div`
18×	`add-cbrt-cube`
16×	`distribute-lft-out--` `difference-of-squares`
15×	`associate-l`
10×	`flip3--` `associate-/r/` `flip--`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`pow1` `unswap-sqr`
5×	`frac-times`
4×	`add-log-exp`
3×	`pow1/3` `associate-r/` `associate-l/`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 136

Calls

4 calls:

7.0ms	(cbrt (- z a))
7.0ms	(cbrt (- z a))
7.0ms	(cbrt (- z a))
175.0ms	(* (/ y (* (cbrt (- z a)) (cbrt (- z a)))) (/ (- z t) (cbrt (- z a))))

series768.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(cbrt (- z a))
178.0ms	(cbrt (- z a))
213.0ms	(cbrt (- z a))
187.0ms	(* (/ y (* (cbrt (- z a)) (cbrt (- z a)))) (/ (- z t) (cbrt (- z a))))

simplify1.7s

Counts

148 → 148

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	223	2832
1	624	2712
2	2390	2339
done	5000	2207

prune714.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- z a))
0.0b	(+ x (pow (* (- z t) (/ y (- z a))) 1))
9.0b	(* (- z t) (/ y (- z a)))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 95

Calls

3 calls:

28.0ms	(/ y (- z a))
12.0ms	(+ x (pow (* (- z t) (/ y (- z a))) 1))
56.0ms	(* (- z t) (/ y (- z a)))

series254.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ y (- z a))
129.0ms	(+ x (pow (* (- z t) (/ y (- z a))) 1))
79.0ms	(* (- z t) (/ y (- z a)))

simplify1.2s

Counts

104 → 104

Iterations

Useful iterations: 2 (201.0ms)

Iter	Nodes	Cost
0	157	1262
1	370	1141
2	1370	1063
done	5000	1063

prune361.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes156.0ms

Accuracy

15.9% (1.2b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.5b

bsearch110.0ms

Steps

Iters	Range		Point
9	1.244754775604451e-168	1.1967843400343603e-160	9.403031276241487e-164
7	-5.825291196675339e-101	-4.3305558754680174e-103	-6.9640366385812096e-102

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	22	52
1	29	42
done	29	42

end0.0ms

sample1.1s

Algorithm

intervals

Results

555.0ms	8725×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid