Details

sample23.0ms

Algorithm

intervals

Results

11.0ms	274×	body	80	valid
0.0ms	1×	body	640	valid

simplify1.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	34	11
3	55	11
4	93	11
5	139	11
6	166	11
7	183	11
8	205	11
9	238	11
10	295	11
11	327	11
12	371	11
13	406	11
14	418	11
done	418	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.6b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
2.2b	(* y (/ (- z t) (- a t)))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 113

Calls

3 calls:

13.0ms	(+ x (* y (/ (- z t) (- a t))))
50.0ms	(/ (- z t) (- a t))
80.0ms	(* y (/ (- z t) (- a t)))

series314.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(+ x (* y (/ (- z t) (- a t))))
87.0ms	(/ (- z t) (- a t))
125.0ms	(* y (/ (- z t) (- a t)))

simplify2.3s

Counts

122 → 122

Iterations

Useful iterations: 2 (245.0ms)

Iter	Nodes	Cost
0	162	1555
1	417	1454
2	1178	1368
3	3704	1368
done	5000	1368

prune424.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
2.2b	(* y (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (- a t) (cbrt (- z t)))))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

91×	`times-frac`
70×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
51×	`associate-r`
41×	`cbrt-prod`
28×	`add-cube-cbrt`
22×	`add-exp-log`
16×	`add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
8×	`cbrt-div`
7×	`prod-exp` `cbrt-unprod`
6×	`pow1` `cbrt-undiv` `div-exp`
4×	`flip3--` `flip--` `add-log-exp` `unswap-sqr`
3×	`pow1/3` `associate-l` `associate-/r/`
2×	`div-inv`
1×	`associate-r/` `pow-prod-down` `-commutative`

Counts

4 → 123

Calls

4 calls:

4.0ms	(cbrt (- z t))
4.0ms	(cbrt (- z t))
4.0ms	(cbrt (- z t))
122.0ms	(* y (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (- a t) (cbrt (- z t)))))

series724.0ms

Counts

4 → 12

Calls

4 calls:

233.0ms	(cbrt (- z t))
213.0ms	(cbrt (- z t))
191.0ms	(cbrt (- z t))
86.0ms	(* y (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (- a t) (cbrt (- z t)))))

simplify1.6s

Counts

135 → 135

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	244	2255
1	571	2148
2	1886	1766
done	5000	1623

prune605.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* 1 (* (- z t) (/ y (- a t)))))
0.0b	(/ y (- a t))
9.1b	(* (- z t) (/ y (- a t)))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-l` `associate-/r*` `add-log-exp`
4×	`flip3--` `associate-/r/` `flip--`
3×	`associate-/l*`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `distribute-lft-out`

Counts

3 → 95

Calls

3 calls:

15.0ms	(+ x (* 1 (* (- z t) (/ y (- a t)))))
20.0ms	(/ y (- a t))
63.0ms	(* (- z t) (/ y (- a t)))

series272.0ms

Counts

3 → 9

Calls

3 calls:

144.0ms	(+ x (* 1 (* (- z t) (/ y (- a t)))))
41.0ms	(/ y (- a t))
86.0ms	(* (- z t) (/ y (- a t)))

simplify1.7s

Counts

104 → 104

Iterations

Useful iterations: 2 (237.0ms)

Iter	Nodes	Cost
0	158	1260
1	374	1149
2	1345	1071
done	5001	1071

prune434.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- a t)))
0.0b	(* y (- z t))
12.0b	(/ (* y (- z t)) (- a t))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-r` `associate-/r*` `add-log-exp`
4×	`associate-*r/`
3×	`flip3--` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `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` `unswap-sqr`

Counts

3 → 67

Calls

3 calls:

20.0ms	(+ x (/ (* y (- z t)) (- a t)))
40.0ms	(* y (- z t))
45.0ms	(/ (* y (- z t)) (- a t))

series304.0ms

Counts

3 → 9

Calls

3 calls:

122.0ms	(+ x (/ (* y (- z t)) (- a t)))
66.0ms	(* y (- z t))
115.0ms	(/ (* y (- z t)) (- a t))

simplify3.0s

Counts

76 → 76

Iterations

Useful iterations: 2 (167.0ms)

Iter	Nodes	Cost
0	128	846
1	334	793
2	1070	715
3	4822	715
done	5002	715

prune263.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

Details

sample23.0ms

simplify1.0s

prune4.0ms

localize20.0ms

rewrite153.0ms

series314.0ms

simplify2.3s

prune424.0ms

localize16.0ms

rewrite143.0ms

series724.0ms

simplify1.6s

prune605.0ms

localize13.0ms

rewrite104.0ms

series272.0ms

simplify1.7s

prune434.0ms

localize11.0ms

rewrite107.0ms

series304.0ms

simplify3.0s

prune263.0ms

regimes2.0ms