Details

sample904.0ms

Algorithm

intervals

Results

591.0ms	3794×	body	80	nan
81.0ms	180×	body	640	valid
13.0ms	45×	body	320	valid
2.0ms	10×	body	160	valid
2.0ms	19×	body	80	valid
1.0ms	2×	body	1280	valid

simplify25.0ms

Counts: 1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.6b

localize31.0ms

Local error

Found 4 expressions with local error:

2.3b	(- (sqrt (+ t 1.0)) (sqrt t))
2.7b	(- (sqrt (+ y 1.0)) (sqrt y))
2.8b	(- (sqrt (+ z 1.0)) (sqrt z))
4.3b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite270.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
32×	`*-un-lft-identity` `sqrt-prod`
16×	`difference-of-squares`
12×	`distribute-lft-out--` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out`

Counts

4 → 76

Calls

4 calls:

65.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
62.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
65.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
75.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series345.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
88.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
86.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
85.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify86.0ms

Counts: 88 → 88

prune494.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.5b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
2.3b	(- (sqrt (+ t 1.0)) (sqrt t))
2.7b	(- (sqrt (+ y 1.0)) (sqrt y))
2.8b	(- (sqrt (+ z 1.0)) (sqrt z))

rewrite254.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
40×	`sqrt-prod`
39×	`add-sqr-sqrt`
19×	`distribute-lft-out`
18×	`times-frac`
15×	`add-cube-cbrt`
12×	`difference-of-squares`
10×	`add-log-exp`
9×	`distribute-lft-out--`
6×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
4×	`pow1`
3×	`sub-neg` `flip3--` `diff-log` `flip--` `associate-/l*`
2×	`associate-/r/`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

4 → 98

Calls

4 calls:

62.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
58.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
61.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
68.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

series419.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
79.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
82.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
87.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

simplify40.0ms

Counts: 110 → 110

prune726.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ 1.0 0) (+ (sqrt (+ z 1.0)) (sqrt z)))
0.1b	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
2.3b	(- (sqrt (+ t 1.0)) (sqrt t))
2.7b	(- (sqrt (+ y 1.0)) (sqrt y))

rewrite205.0ms

Algorithm

rewrite-expression-head

Rules

118×	`*-un-lft-identity`
52×	`sqrt-prod`
45×	`distribute-lft-out`
43×	`add-sqr-sqrt`
42×	`times-frac`
27×	`add-cube-cbrt`
12×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
7×	`associate-/l*`
6×	`distribute-lft-out--`
4×	`pow1` `associate-/r/`
3×	`flip3-+` `flip-+`
2×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `flip--` `div-inv` `associate-/l/`

Counts

4 → 129

Calls

4 calls:

60.0ms	(/ (+ 1.0 0) (+ (sqrt (+ z 1.0)) (sqrt z)))
43.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
44.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
51.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

series543.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(/ (+ 1.0 0) (+ (sqrt (+ z 1.0)) (sqrt z)))
189.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
90.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
86.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

simplify63.0ms

Counts: 141 → 141

prune976.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

2.3b	(- (sqrt (+ t 1.0)) (sqrt t))
2.4b	(- (* (sqrt z) (sqrt z)) (* (sqrt (+ z 1.0)) (sqrt z)))
2.7b	(- (sqrt (+ y 1.0)) (sqrt y))
10.7b	(* (/ (+ 1.0 0) (+ (pow (sqrt (+ z 1.0)) 3) (pow (sqrt z) 3))) (+ (* (sqrt (+ z 1.0)) (sqrt (+ z 1.0))) (- (* (sqrt z) (sqrt z)) (* (sqrt (+ z 1.0)) (sqrt z)))))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

195×	`*-un-lft-identity`
87×	`distribute-lft-out`
80×	`sqrt-prod`
74×	`associate-l`
69×	`times-frac`
48×	`add-sqr-sqrt` `unpow-prod-down` `sqrt-div` `cube-prod`
34×	`frac-times`
32×	`frac-add`
27×	`add-cube-cbrt` `flip3-+` `flip-+`
26×	`associate-*r/`
19×	`flip3--` `flip--`
10×	`add-log-exp`
9×	`add-exp-log` `associate-*l/` `add-cbrt-cube`
8×	`difference-of-squares`
6×	`pow1` `distribute-lft-out--`
4×	`sum-cubes`
3×	`sub-neg` `diff-log` `associate-r`
2×	`prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `distribute-rgt-in` `distribute-rgt-out--` `distribute-lft-in` `div-exp` `pow-prod-down` `*-commutative` `div-inv`

Counts

4 → 182

Calls

4 calls:

52.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
15.0ms	(- (* (sqrt z) (sqrt z)) (* (sqrt (+ z 1.0)) (sqrt z)))
49.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
923.0ms	(* (/ (+ 1.0 0) (+ (pow (sqrt (+ z 1.0)) 3) (pow (sqrt z) 3))) (+ (* (sqrt (+ z 1.0)) (sqrt (+ z 1.0))) (- (* (sqrt z) (sqrt z)) (* (sqrt (+ z 1.0)) (sqrt z)))))

series658.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
122.0ms	(- (* (sqrt z) (sqrt z)) (* (sqrt (+ z 1.0)) (sqrt z)))
75.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
372.0ms	(* (/ (+ 1.0 0) (+ (pow (sqrt (+ z 1.0)) 3) (pow (sqrt z) 3))) (+ (* (sqrt (+ z 1.0)) (sqrt (+ z 1.0))) (- (* (sqrt z) (sqrt z)) (* (sqrt (+ z 1.0)) (sqrt z)))))

simplify73.0ms

Counts: 194 → 194

prune1.6s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes1.1s

bsearch0.0ms

simplify107.0ms

end0.0ms

sample4.7s

Algorithm

intervals

Results

3.3s	15480×	body	80	nan
389.0ms	680×	body	640	valid
67.0ms	197×	body	320	valid
13.0ms	62×	body	160	valid
9.0ms	76×	body	80	valid
8.0ms	12×	body	1280	valid