Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

332×

body

valid

simplify8.0s

Counts

1 → 1

Iterations

Useful iterations: 3 (7.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	28	9
3	50	8
4	87	8
5	129	8
6	165	8
7	180	8
8	205	8
9	250	8
10	360	8
11	520	8
12	571	8
13	614	8
14	671	8
15	771	8
16	1023	8
17	1330	8
18	1923	8
19	2462	8
20	2552	8
21	2558	8
done	2558	8

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* (- y x) z) t))
0.0b	(* (- y x) z)
6.2b	(/ (* (- y x) z) t)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
8×	`add-cube-cbrt`
5×	`pow1` `associate-l` `add-log-exp`
4×	`associate-*l/`
3×	`expm1-log1p-u` `fma-def` `times-frac` `associate-r` `associate-/r*` `log1p-expm1-u`
2×	`cbrt-undiv` `flip3--` `div-exp` `prod-exp` `flip--` `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` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 66

Calls

3 calls:

5.0ms	(+ x (/ (* (- y x) z) t))
10.0ms	(* (- y x) z)
6.0ms	(/ (* (- y x) z) t)

series111.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ x (/ (* (- y x) z) t))
29.0ms	(* (- y x) z)
45.0ms	(/ (* (- y x) z) t)

simplify997.0ms

Counts

75 → 75

Iterations

Useful iterations: 2 (115.0ms)

Iter	Nodes	Cost
0	116	736
1	297	699
2	971	605
done	5000	605

prune167.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
5.8b	(* (- y x) (/ z t))

rewrite19.0ms

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:

3.0ms	(+ x (* (- y x) (/ z t)))
14.0ms	(* (- y x) (/ z t))

series79.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ x (* (- y x) (/ z t)))
45.0ms	(* (- y x) (/ z t))

simplify1.0s

Counts

62 → 62

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	119	705
1	307	661
2	1095	603
done	5000	576

prune142.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* (- y x) z) t))
0.0b	(* (- y x) z)
6.2b	(/ (* (- y x) z) t)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
8×	`add-cube-cbrt`
5×	`pow1` `associate-l` `add-log-exp`
4×	`associate-*l/`
3×	`expm1-log1p-u` `fma-def` `times-frac` `associate-r` `associate-/r*` `log1p-expm1-u`
2×	`cbrt-undiv` `flip3--` `div-exp` `prod-exp` `flip--` `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` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 66

Calls

3 calls:

5.0ms	(+ x (/ (* (- y x) z) t))
12.0ms	(* (- y x) z)
6.0ms	(/ (* (- y x) z) t)

series107.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ x (/ (* (- y x) z) t))
29.0ms	(* (- y x) z)
42.0ms	(/ (* (- y x) z) t)

simplify989.0ms

Counts

75 → 75

Iterations

Useful iterations: 2 (111.0ms)

Iter	Nodes	Cost
0	116	736
1	297	699
2	971	605
done	5000	605

prune161.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* (- y x) z) (/ 1 t)))
0.0b	(* (- y x) z)
6.3b	(* (* (- y x) z) (/ 1 t))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 84

Calls

3 calls:

3.0ms	(+ x (* (* (- y x) z) (/ 1 t)))
10.0ms	(* (- y x) z)
22.0ms	(* (* (- y x) z) (/ 1 t))

series109.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ x (* (* (- y x) z) (/ 1 t)))
32.0ms	(* (- y x) z)
42.0ms	(* (* (- y x) z) (/ 1 t))

simplify698.0ms

Counts

93 → 93

Iterations

Useful iterations: 2 (220.0ms)

Iter	Nodes	Cost
0	153	1084
1	419	897
2	1316	769
done	5000	769

prune371.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes123.0ms

Accuracy

0% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample529.0ms

Algorithm

intervals

Results

274.0ms

10666×

body

valid