Details

sample39.0ms

Algorithm

intervals

Results

20.0ms

314×

body

valid

simplify7.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	22	9
2	46	9
3	119	9
4	228	9
5	358	9
6	507	9
7	1008	9
8	3783	9
done	5001	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.4b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ (- y z) 1.0))
12.5b	(/ (* x (+ (- y z) 1.0)) z)

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 51

Calls

2 calls:

99.0ms	(* x (+ (- y z) 1.0))
72.0ms	(/ (* x (+ (- y z) 1.0)) z)

series125.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(* x (+ (- y z) 1.0))
70.0ms	(/ (* x (+ (- y z) 1.0)) z)

simplify3.3s

Counts

57 → 57

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	98	645
1	262	625
2	923	531
3	4857	520
done	5000	520

prune195.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* (/ x z) (+ y 1.0)) x)
3.4b	(* (/ x z) (+ y 1.0))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`-un-lft-identity` `associate-l*`
11×	`add-cube-cbrt`
10×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `associate-r` `add-log-exp`
3×	`prod-diff`
2×	`distribute-rgt-in` `expm1-log1p-u` `frac-times` `distribute-lft-in` `flip3-+` `associate-*r/` `prod-exp` `associate--l+` `cbrt-unprod` `flip-+` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `flip3--` `fma-neg` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `flip--` `div-inv` `distribute-lft-out`

Counts

2 → 61

Calls

2 calls:

40.0ms	(- (* (/ x z) (+ y 1.0)) x)
54.0ms	(* (/ x z) (+ y 1.0))

series123.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(- (* (/ x z) (+ y 1.0)) x)
70.0ms	(* (/ x z) (+ y 1.0))

simplify1.9s

Counts

67 → 67

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	133	793
1	411	709
2	1290	654
done	5000	648

prune257.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ z (+ (- y z) 1.0))
3.3b	(/ x (/ z (+ (- y z) 1.0)))

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity`
138×	`times-frac`
70×	`add-sqr-sqrt` `add-cube-cbrt`
32×	`distribute-lft-out`
26×	`associate-/r*`
16×	`distribute-lft-out--`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`

Counts

2 → 143

Calls

2 calls:

74.0ms	(/ z (+ (- y z) 1.0))
94.0ms	(/ x (/ z (+ (- y z) 1.0)))

series70.0ms

Calls

1 calls:

62.0ms

(/ x (/ z (+ (- y z) 1.0)))