Details

sample60.0ms

Algorithm

intervals

Results

30.0ms	274×	body	80	valid
0.0ms	1×	body	640	valid

simplify918.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	17	11
2	32	11
3	57	11
4	100	11
5	131	11
6	158	11
7	181	11
8	223	11
9	280	11
10	312	11
11	356	11
12	391	11
13	403	11
done	403	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.6b

localize20.0ms

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))

rewrite104.0ms

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:

36.0ms	(+ x (/ (* y (- z t)) (- a t)))
28.0ms	(* y (- z t))
37.0ms	(/ (* y (- z t)) (- a t))

series333.0ms

Counts

3 → 9

Calls

3 calls:

161.0ms	(+ x (/ (* y (- z t)) (- a t)))
64.0ms	(* y (- z t))
108.0ms	(/ (* y (- z t)) (- a t))

simplify3.1s

Counts

76 → 76

Iterations

Useful iterations: 2 (226.0ms)

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

prune323.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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)))

rewrite113.0ms

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:

12.0ms	(+ x (* y (/ (- z t) (- a t))))
34.0ms	(/ (- z t) (- a t))
57.0ms	(* y (/ (- z t) (- a t)))

series309.0ms

Counts

3 → 9

Calls

3 calls:

139.0ms	(+ x (* y (/ (- z t) (- a t))))
73.0ms	(/ (- z t) (- a t))
98.0ms	(* y (/ (- z t) (- a t)))

simplify2.5s

Counts

122 → 122

Iterations

Useful iterations: 2 (297.0ms)

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

prune454.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- a t) (- z t))))
0.0b	(/ (- a t) (- z t))
2.5b	(/ y (/ (- a t) (- z t)))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
197×	`*-un-lft-identity`
195×	`add-sqr-sqrt`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 206

Calls

3 calls:

70.0ms	(+ x (/ y (/ (- a t) (- z t))))
23.0ms	(/ (- a t) (- z t))
37.0ms	(/ y (/ (- a t) (- z t)))

series472.0ms

Counts

3 → 9

Calls

3 calls:

197.0ms	(+ x (/ y (/ (- a t) (- z t))))
70.0ms	(/ (- a t) (- z t))
205.0ms	(/ y (/ (- a t) (- z t)))

simplify1.6s

Counts

215 → 215

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	292	3733
1	680	3484
2	2408	3378
done	5000	3372

prune763.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
40×	`*-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:

18.0ms	(+ x (* 1 (* (- z t) (/ y (- a t)))))
18.0ms	(/ y (- a t))
60.0ms	(* (- z t) (/ y (- a t)))

series296.0ms

Counts

3 → 9

Calls

3 calls:

147.0ms	(+ x (* 1 (* (- z t) (/ y (- a t)))))
40.0ms	(/ y (- a t))
109.0ms	(* (- z t) (/ y (- a t)))

simplify1.7s

Counts

104 → 104

Iterations

Useful iterations: 2 (230.0ms)

Iter	Nodes	Cost
0	158	1260
1	374	1149
2	1345	1071
done	5001	1071

prune389.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes157.0ms

Accuracy

25.8% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 1.3b

bsearch91.0ms

Steps

Iters	Range		Point
6	2.357286060061322e-95	3.4571676394727666e-94	1.2969709341145689e-94
8	-1.7554660874734585e+23	-1.6476339207743873e+19	-1.8606299422465124e+20

simplify8.0ms

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	25	45
1	34	41
done	34	41

end0.0ms

sample1.3s

Algorithm

intervals

Results

577.0ms	8686×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	160	valid