Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

274×

body

valid

simplify880.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (8.0ms)

Iter	Nodes	Cost
0	10	11
1	18	11
2	33	11
3	60	10
4	102	10
5	153	10
6	203	10
7	238	10
8	282	10
9	368	10
10	483	10
11	557	10
12	655	10
13	695	10
done	695	10

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

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:

5.0ms	(/ y (- z a))
0.0ms	(fma (/ y (- z a)) (- z t) x)

series105.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ y (- z a))
78.0ms	(fma (/ y (- z a)) (- z t) x)

simplify1.0s

Counts

55 → 55

Iterations

Useful iterations: 4 (430.0ms)

Iter	Nodes	Cost
0	92	552
1	171	535
2	363	495
3	780	495
4	2050	494
done	5001	494

prune147.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z a))
0.3b	(* y (/ 1 (- z a)))
3.0b	(fma (* y (/ 1 (- z a))) (- z t) x)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
32×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
16×	`add-exp-log`
10×	`add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`associate-/r*`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `flip3--` `1-exp` `flip--` `cbrt-unprod` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `fma-udef` `inv-pow`

Counts

3 → 99

Calls

3 calls:

6.0ms	(/ 1 (- z a))
16.0ms	(* y (/ 1 (- z a)))
0.0ms	(fma (* y (/ 1 (- z a))) (- z t) x)

series144.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ 1 (- z a))
32.0ms	(* y (/ 1 (- z a)))
77.0ms	(fma (* y (/ 1 (- z a))) (- z t) x)

simplify1.8s

Counts

108 → 108

Iterations

Useful iterations: 4 (849.0ms)

Iter	Nodes	Cost
0	132	1057
1	289	881
2	596	751
3	1153	751
4	3135	750
done	5000	750

prune230.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- z a)))
0.0b	(* y (- z t))
13.7b	(/ (* y (- z t)) (- z a))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `times-frac` `associate-r` `associate-/r*` `add-log-exp`
4×	`associate-*r/`
3×	`expm1-log1p-u` `flip3--` `fma-def` `associate-l` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `sub-neg` `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 → 94

Calls

3 calls:

11.0ms	(+ x (/ (* y (- z t)) (- z a)))
11.0ms	(* y (- z t))
13.0ms	(/ (* y (- z t)) (- z a))

series180.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(+ x (/ (* y (- z t)) (- z a)))
35.0ms	(* y (- z t))
68.0ms	(/ (* y (- z t)) (- z a))

simplify1.0s

Counts

103 → 103

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	182	1394
1	426	1177
2	1231	1009
done	5000	991

prune210.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- z a) (- z t))))
0.0b	(/ (- z a) (- z t))
2.3b	(/ y (/ (- z a) (- z t)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
198×	`*-un-lft-identity`
196×	`add-sqr-sqrt`
92×	`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` `expm1-log1p-u` `fma-def` `log1p-expm1-u`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 215

Calls

3 calls:

45.0ms	(+ x (/ y (/ (- z a) (- z t))))
12.0ms	(/ (- z a) (- z t))
14.0ms	(/ y (/ (- z a) (- z t)))

series245.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(+ x (/ y (/ (- z a) (- z t))))
43.0ms	(/ (- z a) (- z t))
119.0ms	(/ y (/ (- z a) (- z t)))

simplify937.0ms

Counts

224 → 224

Iterations

Useful iterations: 2 (318.0ms)

Iter	Nodes	Cost
0	298	3787
1	717	3533
2	2422	3414
done	5001	3414

prune550.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes131.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample529.0ms

Algorithm

intervals

Results

270.0ms	8709×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	2×	body	160	valid