Details

sample38.0ms

Algorithm

intervals

Results

16.0ms	284×	body	80	valid
0.0ms	1×	body	160	valid

simplify684.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (16.0ms)

Iter	Nodes	Cost
0	10	11
1	17	11
2	32	11
3	59	10
4	101	10
5	150	10
6	200	10
7	236	10
8	282	10
9	373	10
10	491	10
11	580	10
12	637	10
13	645	10
done	645	10

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
2.9b	(fma (/ y (- a t)) (- z t) x)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/r*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `fma-udef` `div-inv`

Counts

2 → 49

Calls

2 calls:

6.0ms	(/ y (- a t))
0.0ms	(fma (/ y (- a t)) (- z t) x)

series199.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ y (- a t))
171.0ms	(fma (/ y (- a t)) (- z t) x)

simplify1.8s

Counts

55 → 55

Iterations

Useful iterations: 4 (615.0ms)

Iter	Nodes	Cost
0	92	550
1	167	533
2	386	493
3	1103	491
4	3291	490
done	5000	490

prune145.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ y (- a t)) (- z t)) x)
0.0b	(/ y (- a t))
8.7b	(* (/ y (- a t)) (- z t))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-sqr-sqrt`
63×	`*-un-lft-identity`
47×	`add-cube-cbrt`
36×	`prod-diff`
31×	`times-frac`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
21×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-r` `associate-/r*` `add-log-exp`
4×	`sub-neg` `flip3--` `associate-/r/` `flip--`
3×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `fma-def` `frac-2neg` `flip3-+` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 145

Calls

3 calls:

12.0ms	(+ (* (/ y (- a t)) (- z t)) x)
5.0ms	(/ y (- a t))
28.0ms	(* (/ y (- a t)) (- z t))

series375.0ms

Counts

3 → 9

Calls

3 calls:

204.0ms	(+ (* (/ y (- a t)) (- z t)) x)
27.0ms	(/ y (- a t))
144.0ms	(* (/ y (- a t)) (- z t))

simplify735.0ms

Counts

154 → 154

Iterations

Useful iterations: 2 (247.0ms)

Iter	Nodes	Cost
0	226	2345
1	557	1993
2	1720	1753
done	5000	1753

prune378.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* y (/ (- z t) (- a t))) x)
0.0b	(/ (- z t) (- a t))
0.6b	(* y (/ (- z t) (- a t)))

rewrite53.0ms

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×	`expm1-log1p-u` `flip3--` `associate-l` `flip--` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `fma-def` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 120

Calls

3 calls:

8.0ms	(+ (* y (/ (- z t) (- a t))) x)
12.0ms	(/ (- z t) (- a t))
28.0ms	(* y (/ (- z t) (- a t)))

series195.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(+ (* y (/ (- z t) (- a t))) x)
46.0ms	(/ (- z t) (- a t))
67.0ms	(* y (/ (- z t) (- a t)))

simplify917.0ms

Counts

129 → 129

Iterations

Useful iterations: done (913.0ms)

Iter	Nodes	Cost
0	168	1615
1	436	1506
2	1371	1422
done	5001	1415

prune306.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt z)
0.7b	(cbrt z)
0.7b	(cbrt z)
9.4b	(/ (fma (* (cbrt z) (cbrt z)) (cbrt z) (- t)) (/ (- a t) y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

117×	`times-frac`
87×	`add-sqr-sqrt` `*-un-lft-identity`
63×	`add-cube-cbrt`
19×	`associate-/r*`
12×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `cbrt-prod` `add-cbrt-cube`
5×	`div-inv`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp` `associate-/l*`
1×	`frac-2neg` `clear-num` `associate-/r/`

Counts

4 → 135

Calls

4 calls:

0.0ms	(cbrt z)
0.0ms	(cbrt z)
1.0ms	(cbrt z)
9.0ms	(/ (fma (* (cbrt z) (cbrt z)) (cbrt z) (- t)) (/ (- a t) y))

series803.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt z)
183.0ms	(cbrt z)
179.0ms	(cbrt z)
257.0ms	(/ (fma (* (cbrt z) (cbrt z)) (cbrt z) (- t)) (/ (- a t) y))

simplify780.0ms

Counts

147 → 147

Iterations

Useful iterations: 2 (173.0ms)

Iter	Nodes	Cost
0	210	3160
1	459	3037
2	1516	2297
done	5000	2297

prune574.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes152.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample534.0ms

Algorithm

intervals

Results

280.0ms	8736×	body	80	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	640	valid