Details

sample121.0ms

Algorithm

intervals

Results

67.0ms	869×	body	80	nan
18.0ms	289×	body	80	valid

simplify9.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	20
1	27	20
2	72	20
3	188	20
4	417	20
5	772	20
6	1496	20
7	2490	20
8	3402	20
9	4724	20
done	5000	20

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
0.1b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
0.2b	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
0.2b	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

rewrite232.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
26×	`*-un-lft-identity` `times-frac`
24×	`add-cube-cbrt` `associate-l`
13×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
8×	`associate-*r/` `sqrt-prod`
6×	`flip3--` `sqrt-div` `associate-r` `flip--`
4×	`frac-times` `associate-/r*` `associate-/r/` `add-log-exp`
3×	`flip3-+` `pow-prod-down` `associate-l/` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `sqrt-pow1` `div-exp` `*-commutative` `div-inv` `difference-of-squares`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow1/2` `clear-num` `distribute-lft-out--`

Counts

4 → 114

Calls

4 calls:

92.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
13.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
103.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
20.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

series712.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
90.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
211.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
236.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

simplify2.2s

Counts

126 → 126

Iterations

Useful iterations: 2 (806.0ms)

Iter	Nodes	Cost
0	303	2615
1	823	2480
2	2960	2274
done	5002	2274

prune639.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 9.0 (- a (/ 1.0 3.0)))
0.1b	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
0.1b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
0.2b	(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

rewrite241.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

54.0ms	(* 9.0 (- a (/ 1.0 3.0)))
137.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
13.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
34.0ms	(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

series602.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* 9.0 (- a (/ 1.0 3.0)))
144.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
108.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
292.0ms	(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

simplify2.0s

Counts

109 → 109

Iterations

Useful iterations: 2 (612.0ms)

Iter	Nodes	Cost
0	264	2121
1	744	1996
2	2820	1812
done	5002	1812

prune491.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ 1 (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) (* 1.0 rand)))))
0.1b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
0.3b	(/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) (* 1.0 rand))
1.1b	(/ 1 (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) (* 1.0 rand)))

rewrite281.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac`
32×	`add-exp-log` `add-sqr-sqrt`
30×	`*-un-lft-identity`
25×	`add-cube-cbrt`
20×	`add-cbrt-cube`
14×	`div-exp`
10×	`pow1`
9×	`associate-/r*`
7×	`cbrt-undiv` `sqrt-prod` `div-inv` `associate-/l*`
6×	`associate-r/` `associate-l*`
5×	`flip3--` `associate-r` `prod-exp` `flip--`
4×	`frac-times` `sqrt-div` `add-log-exp`
3×	`rec-exp` `flip3-+` `1-exp` `cbrt-unprod` `flip-+`
2×	`frac-2neg` `sqrt-pow1` `pow-prod-down` `associate-*l/` `clear-num` `associate-/l/` `distribute-lft-out` `difference-of-squares`
1×	`distribute-rgt-in` `pow-flip` `distribute-lft-in` `pow1/2` `associate-/r/` `*-commutative` `distribute-lft-out--` `inv-pow` `unswap-sqr`

Counts

4 → 131

Calls

4 calls:

162.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ 1 (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) (* 1.0 rand)))))
21.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
37.0ms	(/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) (* 1.0 rand))
54.0ms	(/ 1 (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) (* 1.0 rand)))

series811.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ 1 (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) (* 1.0 rand)))))
104.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
246.0ms	(/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) (* 1.0 rand))
311.0ms	(/ 1 (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) (* 1.0 rand)))

simplify2.2s

Counts

143 → 143

Iterations

Useful iterations: 2 (1.2s)

Iter	Nodes	Cost
0	345	3322
1	943	3027
2	3250	2647
done	5000	2647

prune532.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ (sqrt 1.0) (sqrt 9.0)) (* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand))))
0.3b	(* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand)
0.3b	(/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0))))
0.3b	(* (/ (sqrt 1.0) (sqrt 9.0)) (* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand))

rewrite412.0ms

Algorithm

rewrite-expression-head

Rules

183×	`add-sqr-sqrt`
175×	`sqrt-prod`
162×	`times-frac`
125×	`*-un-lft-identity`
106×	`associate-l`
97×	`add-cube-cbrt`
34×	`add-exp-log` `add-cbrt-cube`
28×	`difference-of-squares`
14×	`distribute-lft-out--`
13×	`pow1` `prod-exp` `cbrt-unprod`
9×	`associate-/r*`
7×	`cbrt-undiv` `div-exp` `associate-r`
6×	`associate-l/` `associate-/l` `unswap-sqr`
5×	`frac-times` `flip3--` `pow-prod-down` `flip--`
4×	`sqrt-div` `associate-/r/` `add-log-exp`
3×	`flip3-+` `associate-r/` `-commutative` `flip-+` `div-inv`
1×	`distribute-rgt-in` `sqrt-undiv` `frac-2neg` `distribute-lft-in` `clear-num`

Counts

4 → 263

Calls

4 calls:

84.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ (sqrt 1.0) (sqrt 9.0)) (* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand))))
104.0ms	(* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand)
50.0ms	(/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0))))
158.0ms	(* (/ (sqrt 1.0) (sqrt 9.0)) (* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand))

series1.4s

Counts

4 → 12

Calls

4 calls:

381.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ (sqrt 1.0) (sqrt 9.0)) (* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand))))
316.0ms	(* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand)
167.0ms	(/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0))))
514.0ms	(* (/ (sqrt 1.0) (sqrt 9.0)) (* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand))

simplify3.0s

Counts

275 → 275

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	436	5863
1	1170	5477
2	4746	4811
done	5001	4787

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

Details

sample121.0ms

simplify9.8s

prune5.0ms

localize30.0ms

rewrite232.0ms

series712.0ms

simplify2.2s

prune639.0ms

localize27.0ms

rewrite241.0ms

series602.0ms

simplify2.0s

prune491.0ms

localize24.0ms

rewrite281.0ms

series811.0ms

simplify2.2s

prune532.0ms

localize17.0ms

rewrite412.0ms

series1.4s

simplify3.0s

prune1.2s

regimes2.0ms