Details

sample51.0ms

Algorithm

intervals

Results

24.0ms

272×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 3 (12.0ms)

Iter	Nodes	Cost
0	10	11
1	18	11
2	33	11
3	61	10
4	112	10
5	157	10
6	207	10
7	251	10
8	302	10
9	387	10
10	485	10
11	553	10
12	617	10
13	645	10
done	645	10

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- z a))
2.7b	(fma (/ y (- z a)) (- z t) x)

rewrite27.0ms

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:

23.0ms	(/ y (- z a))
1.0ms	(fma (/ y (- z a)) (- z t) x)

series242.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(/ y (- z a))
175.0ms	(fma (/ y (- z a)) (- z t) x)

simplify2.1s

Counts

55 → 55

Iterations

Useful iterations: 4 (763.0ms)

Iter	Nodes	Cost
0	92	552
1	171	535
2	369	495
3	790	495
4	2344	494
done	5000	494

prune321.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ y (- z a)) (- z t)) x)
0.0b	(/ y (- z a))
9.9b	(* (/ y (- z a)) (- z t))

rewrite138.0ms

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:

24.0ms	(+ (* (/ y (- z a)) (- z t)) x)
12.0ms	(/ y (- z a))
91.0ms	(* (/ y (- z a)) (- z t))

series456.0ms

Counts

3 → 9

Calls

3 calls:

186.0ms	(+ (* (/ y (- z a)) (- z t)) x)
58.0ms	(/ y (- z a))
212.0ms	(* (/ y (- z a)) (- z t))

simplify1.4s

Counts

154 → 154

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	226	2339
1	558	1987
2	1538	1783
done	5000	1751

prune626.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* y (/ (- z t) (- z a))) x)
0.0b	(/ (- z t) (- z a))
3.5b	(* y (/ (- z t) (- z a)))

rewrite176.0ms

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:

38.0ms	(+ (* y (/ (- z t) (- z a))) x)
61.0ms	(/ (- z t) (- z a))
66.0ms	(* y (/ (- z t) (- z a)))

series354.0ms

Counts

3 → 9

Calls

3 calls:

153.0ms	(+ (* y (/ (- z t) (- z a))) x)
83.0ms	(/ (- z t) (- z a))
118.0ms	(* y (/ (- z t) (- z a)))

simplify2.7s

Counts

129 → 129

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	168	1615
1	433	1506
2	1199	1422
3	3771	1414
done	5001	1414

prune588.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
2.4b	(fma y (/ (- z t) (- z a)) x)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 64

Calls

2 calls:

49.0ms	(/ (- z t) (- z a))
1.0ms	(fma y (/ (- z t) (- z a)) x)

series244.0ms

Counts

2 → 6

Calls

2 calls:

101.0ms	(/ (- z t) (- z a))
143.0ms	(fma y (/ (- z t) (- z a)) x)

simplify3.7s

Counts

70 → 70

Iterations

Useful iterations: 4 (2.3s)

Iter	Nodes	Cost
0	113	884
1	261	856
2	628	808
3	1593	808
4	4731	806
done	5000	806

prune231.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes385.0ms

Accuracy

52.4% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 1.4b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	58
1	29	58
done	29	58

end0.0ms

sample1.6s

Algorithm

intervals

Results

942.0ms	8722×	body	80	valid
0.0ms	1×	body	320	valid