Details

sample52.0ms

Algorithm

intervals

Results

25.0ms

327×

body

valid

simplify3.7s

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	27	8
3	62	8
4	115	8
5	175	8
6	240	8
7	437	8
8	1228	8
9	4534	8
done	5000	8

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.8b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
6.8b	(* (- y x) (/ z t))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 56

Calls

2 calls:

8.0ms	(+ x (* (- y x) (/ z t)))
38.0ms	(* (- y x) (/ z t))

series105.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(+ x (* (- y x) (/ z t)))
58.0ms	(* (- y x) (/ z t))

simplify1.2s

Counts

62 → 62

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	119	705
1	318	665
2	1555	603
done	5001	576

prune254.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 1 x (* (- y x) (/ z t)))
6.8b	(* (- y x) (/ z t))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

0.0ms	(fma 1 x (* (- y x) (/ z t)))
49.0ms	(* (- y x) (/ z t))

series150.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(fma 1 x (* (- y x) (/ z t)))
83.0ms	(* (- y x) (/ z t))

simplify1.0s

Counts

56 → 56

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	111	639
1	279	609
2	1370	549
done	5000	508

prune271.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

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

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

series71.0ms

Counts

1 → 3

Calls

1 calls:

71.0ms

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

simplify2.6s

Counts

13 → 13

Iterations

Useful iterations: 3 (56.0ms)

Iter	Nodes	Cost
0	23	154
1	41	154
2	91	138
3	282	123
4	2214	123
done	5001	123

prune58.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 1 x (pow (/ (- y x) (/ t z)) 1))
7.1b	(/ (- y x) (/ t z))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 113

Calls

2 calls:

0.0ms	(fma 1 x (pow (/ (- y x) (/ t z)) 1))
34.0ms	(/ (- y x) (/ t z))

series184.0ms

Counts

2 → 6

Calls

2 calls:

85.0ms	(fma 1 x (pow (/ (- y x) (/ t z)) 1))
98.0ms	(/ (- y x) (/ t z))

simplify1.7s

Counts

119 → 119

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	211	1874
1	634	1754
2	2937	1652
done	5001	1639

prune566.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes233.0ms

Accuracy

60% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.0b

bsearch1.0ms

simplify10.0ms

Iterations

Useful iterations: done (10.0ms)

Iter	Nodes	Cost
0	22	62
1	29	47
2	33	38
3	36	38
done	36	37

end0.0ms

sample1.3s

Algorithm

intervals

Results

571.0ms

10684×

body

valid