Details

sample24.0ms

Algorithm

intervals

Results

11.0ms

321×

body

valid

simplify268.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	19	7
3	28	7
4	39	7
5	44	7
6	49	7
7	58	7
8	75	7
9	91	7
10	102	7
11	104	7
12	108	7
13	109	7
done	109	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y x) z)
0.0b	(+ x (/ (- y x) z))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/l*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`associate-/r*`
2×	`pow1` `div-sub` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `sum-log` `flip--` `flip-+` `div-inv` `distribute-lft-out`

Counts

2 → 51

Calls

2 calls:

18.0ms	(/ (- y x) z)
39.0ms	(+ x (/ (- y x) z))

series82.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ (- y x) z)
43.0ms	(+ x (/ (- y x) z))

simplify1.4s

Counts

57 → 57

Iterations

Useful iterations: 2 (116.0ms)

Iter	Nodes	Cost
0	94	588
1	222	544
2	582	520
3	2061	520
done	5000	520

prune120.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ 1 z)))
0.3b	(* (- y x) (/ 1 z))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 53

Calls

2 calls:

13.0ms	(+ x (* (- y x) (/ 1 z)))
47.0ms	(* (- y x) (/ 1 z))

series86.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ x (* (- y x) (/ 1 z)))
48.0ms	(* (- y x) (/ 1 z))

simplify2.6s

Counts

59 → 59

Iterations

Useful iterations: 2 (138.0ms)

Iter	Nodes	Cost
0	117	680
1	289	528
2	836	460
3	3137	460
done	5000	460

prune124.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ z (- y x))
0.0b	(+ x (/ 1 (/ z (- y x))))
0.6b	(/ 1 (/ z (- y x)))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
106×	`*-un-lft-identity`
103×	`add-sqr-sqrt`
71×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`add-exp-log` `distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp`
7×	`div-inv`
6×	`associate-/l*`
5×	`flip3--` `flip--` `add-log-exp`
4×	`pow1` `cbrt-undiv`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `inv-pow`

Counts

3 → 158

Calls

3 calls:

13.0ms	(/ z (- y x))
45.0ms	(+ x (/ 1 (/ z (- y x))))
20.0ms	(/ 1 (/ z (- y x)))

series78.0ms

Calls

2 calls:

35.0ms	(+ x (/ 1 (/ z (- y x))))
36.0ms	(/ 1 (/ z (- y x)))