Details

sample24.0ms

Algorithm

intervals

Results

8.0ms

294×

body

valid

simplify959.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (11.0ms)

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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- z a))
3.0b	(fma (/ y (- z a)) (- z t) x)

rewrite13.0ms

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:

11.0ms	(/ y (- z a))
0.0ms	(fma (/ y (- z a)) (- z t) x)

series125.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ y (- z a))
92.0ms	(fma (/ y (- z a)) (- z t) x)

simplify1.4s

Counts

55 → 55

Iterations

Useful iterations: 4 (522.0ms)

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

prune156.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- z a))
0.0b	(+ (* (/ y (- z a)) (- z t)) x)
10.1b	(* (/ y (- z a)) (- z t))

rewrite89.0ms

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 (- z a))
23.0ms	(+ (* (/ y (- z a)) (- z t)) x)
47.0ms	(* (/ y (- z a)) (- z t))

series270.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ y (- z a))
108.0ms	(+ (* (/ y (- z a)) (- z t)) x)
127.0ms	(* (/ y (- z a)) (- z t))

simplify918.0ms

Counts

154 → 154

Iterations

Useful iterations: done (914.0ms)

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

prune380.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* y (/ (- z t) (- z a))) x)
0.0b	(/ (- z t) (- z a))
0.7b	(* y (/ (- z t) (- z a)))

rewrite89.0ms

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:

17.0ms	(+ (* y (/ (- z t) (- z a))) x)
26.0ms	(/ (- z t) (- z a))
41.0ms	(* y (/ (- z t) (- z a)))

series232.0ms

Counts

3 → 9

Calls

3 calls:

103.0ms	(+ (* y (/ (- z t) (- z a))) x)
49.0ms	(/ (- z t) (- z a))
79.0ms	(* y (/ (- z t) (- z a)))

simplify1.6s

Counts

129 → 129

Iterations

Useful iterations: 3 (774.0ms)

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

prune309.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.7b	(* y (* (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))) (cbrt (/ (- z t) (- z a)))))
2.4b	(cbrt (/ (- z t) (- z a)))
2.4b	(cbrt (/ (- z t) (- z a)))
2.4b	(cbrt (/ (- z t) (- z a)))

rewrite357.0ms

Algorithm

rewrite-expression-head

Rules

98×	`add-sqr-sqrt` `*-un-lft-identity`
93×	`cbrt-prod`
75×	`times-frac`
38×	`add-cube-cbrt`
30×	`distribute-lft-out--` `difference-of-squares`
15×	`cbrt-div`
13×	`pow1` `add-exp-log`
10×	`associate-*r/`
9×	`add-cbrt-cube`
6×	`pow-prod-down` `prod-exp` `associate-/r/` `cbrt-unprod`
5×	`frac-times` `associate-*l/`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `associate-l` `flip--` `div-inv`
1×	`associate-r` `*-commutative`

Counts

4 → 156

Calls

4 calls:

318.0ms	(* y (* (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))) (cbrt (/ (- z t) (- z a)))))
12.0ms	(cbrt (/ (- z t) (- z a)))
9.0ms	(cbrt (/ (- z t) (- z a)))
9.0ms	(cbrt (/ (- z t) (- z a)))

series543.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(* y (* (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))) (cbrt (/ (- z t) (- z a)))))
152.0ms	(cbrt (/ (- z t) (- z a)))
158.0ms	(cbrt (/ (- z t) (- z a)))
150.0ms	(cbrt (/ (- z t) (- z a)))

simplify1.1s

Counts

168 → 168

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	173	3126
1	347	3016
2	819	2496
3	1993	2399
done	5000	2390

prune507.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes137.0ms

Accuracy

0% (1.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample861.0ms

Algorithm

intervals

Results

497.0ms	8713×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid