Details

sample38.0ms

Algorithm

intervals

Results

17.0ms

335×

body

valid

simplify7.0s

Counts

1 → 1

Iterations

Useful iterations: 3 (9.0ms)

Iter	Nodes	Cost
0	8	164
1	14	164
2	23	164
3	43	139
4	81	139
5	128	139
6	172	139
7	217	139
8	301	139
9	470	139
10	955	139
11	1772	139
12	3108	139
done	5001	139

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 1 expressions with local error:

2.3b	(fma (/ y t) (- z x) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (/ y t) (- z x) x)

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(fma (/ y t) (- z x) x)

simplify2.5s

Counts

13 → 13

Iterations

Useful iterations: 3 (67.0ms)

Iter	Nodes	Cost
0	23	2767
1	40	2767
2	89	2767
3	260	2452
4	1456	2452
done	5006	2452

prune68.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
18×	`prod-diff` `add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-cbrt-cube` `add-exp-log`
5×	`associate-r`
4×	`pow1` `associate-*r/`
3×	`associate-/r` `times-frac` `associate-l*`
2×	`expm1-log1p-u` `cbrt-undiv` `sub-neg` `flip3--` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `flip--` `add-log-exp` `associate-/l/`
1×	`clear-num` `frac-2neg` `pow-prod-down` `-commutative` `div-inv` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 71

Calls

2 calls:

33.0ms	(* y (- z x))
17.0ms	(/ (* y (- z x)) t)

series147.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(* y (- z x))
94.0ms	(/ (* y (- z x)) t)

simplify3.8s

Counts

77 → 77

Iterations

Useful iterations: done (3.8s)

Iter	Nodes	Cost
0	146	19602
1	361	17088
2	925	13564
3	3439	13084
done	5480	12124

prune316.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z x) t)
6.4b	(* y (/ (- z x) t))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
31×	`times-frac`
22×	`add-cube-cbrt`
19×	`associate-r`
9×	`add-cbrt-cube` `add-exp-log`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/l*`
4×	`pow1`
3×	`associate-/r` `associate-l*`
2×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `flip3--` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `flip--`

Counts

2 → 80

Calls

2 calls:

18.0ms	(/ (- z x) t)
32.0ms	(* y (/ (- z x) t))

series105.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ (- z x) t)
69.0ms	(* y (/ (- z x) t))

simplify2.8s

Counts

86 → 86

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	120	17780
1	297	16665
2	856	16341
3	3590	16061
done	5006	16061

prune472.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (- z x) (/ 1 t))
6.4b	(* y (* (- z x) (/ 1 t)))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
20×	`add-sqr-sqrt`
16×	`add-cbrt-cube`
14×	`-un-lft-identity` `associate-r*`
13×	`prod-exp`
11×	`times-frac` `add-cube-cbrt`
9×	`pow1`
8×	`associate-l` `associate-*r/`
7×	`cbrt-unprod`
4×	`frac-times` `flip3--` `div-exp` `pow-prod-down` `associate-*l/` `flip--`
3×	`unswap-sqr`
2×	`expm1-log1p-u` `cbrt-undiv` `rec-exp` `1-exp` `un-div-inv` `*-commutative` `log1p-expm1-u` `add-log-exp`
1×	`div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 74

Calls

2 calls:

43.0ms	(* (- z x) (/ 1 t))
44.0ms	(* y (* (- z x) (/ 1 t)))

series125.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(* (- z x) (/ 1 t))
86.0ms	(* y (* (- z x) (/ 1 t)))

simplify3.9s

Counts

80 → 80

Iterations

Useful iterations: 3 (2.2s)

Iter	Nodes	Cost
0	137	19299
1	352	15646
2	1113	13434
3	4337	12714
done	5000	12714

prune403.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes473.0ms

Accuracy

58.3% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 2.3b

bsearch1.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	521
1	21	521
done	21	521

end0.0ms

sample1.3s

Algorithm

intervals

Results

829.0ms

10666×

body

valid