Details

sample60.0ms

Algorithm

intervals

Results

29.0ms

329×

body

valid

simplify9.7s

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	8	9
1	15	8
2	33	8
3	63	8
4	102	8
5	142	8
6	175	8
7	213	8
8	282	8
9	367	8
10	462	8
11	520	8
12	570	8
13	613	8
14	635	8
15	673	8
16	802	8
17	940	8
18	1253	8
19	1744	8
20	2349	8
21	2520	8
22	2528	8
done	2528	8

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.4b

localize11.0ms

Local error

Found 1 expressions with local error:

1.3b	(fma (/ x y) (- z t) t)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

1.0ms

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

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

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

simplify901.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	23	154
1	41	154
2	91	138
3	263	123
4	1131	123
done	5001	123

prune40.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 1.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
4.4b	(* (/ x y) (- z t))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 98

Calls

2 calls:

20.0ms	(+ (* (/ x y) (- z t)) t)
36.0ms	(* (/ x y) (- z t))

series143.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(+ (* (/ x y) (- z t)) t)
89.0ms	(* (/ x y) (- z t))

simplify1.3s

Counts

104 → 104

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	178	1645
1	451	1317
2	1231	1118
done	5000	1088

prune261.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* z (/ x y)) (fma (/ x y) (- t) t))
0.8b	(fma (/ x y) (- t) t)
3.5b	(* z (/ x y))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`associate-r`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `add-log-exp`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u`
2×	`prod-exp` `cbrt-unprod` `fma-udef` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `associate-+r+` `fma-def` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv`

Counts

3 → 59

Calls

3 calls:

10.0ms	(+ (* z (/ x y)) (fma (/ x y) (- t) t))
1.0ms	(fma (/ x y) (- t) t)
25.0ms	(* z (/ x y))

series134.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(+ (* z (/ x y)) (fma (/ x y) (- t) t))
48.0ms	(fma (/ x y) (- t) t)
26.0ms	(* z (/ x y))

simplify2.1s

Counts

68 → 68

Iterations

Useful iterations: 3 (698.0ms)

Iter	Nodes	Cost
0	111	744
1	268	678
2	781	598
3	2802	560
done	5001	560

prune231.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* (- z t) x) y) t)
0.0b	(* (- z t) x)
6.6b	(/ (* (- z t) x) y)

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

32.0ms	(+ (/ (* (- z t) x) y) t)
35.0ms	(* (- z t) x)
19.0ms	(/ (* (- z t) x) y)

series160.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(+ (/ (* (- z t) x) y) t)
35.0ms	(* (- z t) x)
69.0ms	(/ (* (- z t) x) y)

simplify3.7s

Counts

79 → 79

Iterations

Useful iterations: 3 (2.1s)

Iter	Nodes	Cost
0	116	736
1	293	705
2	1016	611
3	4953	590
done	5000	590

prune199.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes179.0ms

Accuracy

0% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 1.7b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	9	10
1	11	8
done	11	8

end0.0ms

sample1.2s

Algorithm

intervals

Results

503.0ms

10694×

body

valid