Details

sample32.0ms

Algorithm

intervals

Results

15.0ms	274×	body	80	valid
0.0ms	1×	body	640	valid

simplify772.0ms

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	93	11
5	139	11
6	166	11
7	183	11
8	205	11
9	238	11
10	295	11
11	327	11
12	371	11
13	406	11
14	418	11
done	418	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.6b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
2.2b	(* y (/ (- z t) (- a t)))

rewrite86.0ms

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:

6.0ms	(+ x (* y (/ (- z t) (- a t))))
27.0ms	(/ (- z t) (- a t))
48.0ms	(* y (/ (- z t) (- a t)))

series271.0ms

Counts

3 → 9

Calls

3 calls:

109.0ms	(+ x (* y (/ (- z t) (- a t))))
71.0ms	(/ (- z t) (- a t))
91.0ms	(* y (/ (- z t) (- a t)))

simplify2.1s

Counts

122 → 122

Iterations

Useful iterations: 2 (199.0ms)

Iter	Nodes	Cost
0	162	1555
1	417	1454
2	1178	1368
3	3704	1368
done	5000	1368

prune332.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
2.2b	(* y (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (- a t) (cbrt (- z t)))))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

91×	`times-frac`
70×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
51×	`associate-r`
41×	`cbrt-prod`
28×	`add-cube-cbrt`
22×	`add-exp-log`
16×	`add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
8×	`cbrt-div`
7×	`prod-exp` `cbrt-unprod`
6×	`pow1` `cbrt-undiv` `div-exp`
4×	`flip3--` `flip--` `add-log-exp` `unswap-sqr`
3×	`pow1/3` `associate-l` `associate-/r/`
2×	`div-inv`
1×	`associate-r/` `pow-prod-down` `-commutative`

Counts

4 → 123

Calls

4 calls:

6.0ms	(cbrt (- z t))
4.0ms	(cbrt (- z t))
5.0ms	(cbrt (- z t))
129.0ms	(* y (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (- a t) (cbrt (- z t)))))

series679.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(cbrt (- z t))
195.0ms	(cbrt (- z t))
193.0ms	(cbrt (- z t))
99.0ms	(* y (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (- a t) (cbrt (- z t)))))

simplify1.2s

Counts

135 → 135

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	244	2255
1	571	2148
2	1886	1766
done	5000	1623

prune480.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (pow (* (- z t) (/ y (- a t))) 1))
0.0b	(/ y (- a t))
9.1b	(* (- z t) (/ y (- a t)))

rewrite82.0ms

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:

8.0ms	(+ x (pow (* (- z t) (/ y (- a t))) 1))
11.0ms	(/ y (- a t))
59.0ms	(* (- z t) (/ y (- a t)))

series212.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(+ x (pow (* (- z t) (/ y (- a t))) 1))
39.0ms	(/ y (- a t))
76.0ms	(* (- z t) (/ y (- a t)))

simplify1.1s

Counts

104 → 104

Iterations

Useful iterations: 2 (177.0ms)

Iter	Nodes	Cost
0	157	1262
1	366	1141
2	1358	1063
done	5000	1063

prune330.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- a t)))
0.0b	(* y (- z t))
12.0b	(/ (* y (- z t)) (- a t))

rewrite113.0ms

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:

33.0ms	(+ x (/ (* y (- z t)) (- a t)))
32.0ms	(* y (- z t))
44.0ms	(/ (* y (- z t)) (- a t))

series258.0ms

Counts

3 → 9

Calls

3 calls:

116.0ms	(+ x (/ (* y (- z t)) (- a t)))
48.0ms	(* y (- z t))
93.0ms	(/ (* y (- z t)) (- a t))

simplify2.7s

Counts

76 → 76

Iterations

Useful iterations: 2 (150.0ms)

Iter	Nodes	Cost
0	128	846
1	334	793
2	1070	715
3	4822	715
done	5002	715

prune183.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes267.0ms

Accuracy

30.3% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.4b

bsearch71.0ms

Steps

Iters	Range		Point
6	2.357286060061322e-95	3.4571676394727666e-94	1.2245210660068793e-94
8	-1.7554660874734585e+23	-1.6476339207743873e+19	-1.8606299422465124e+20

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	24	43
1	32	41
done	32	41

end0.0ms

sample1.1s

Algorithm

intervals

Results

460.0ms	8687×	body	80	valid
0.0ms	2×	body	640	valid