Details

sample29.0ms

Algorithm

intervals

Results

13.0ms

490×

body

valid

simplify4.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	13
1	19	13
2	49	13
3	138	13
4	295	13
5	463	13
6	579	13
7	761	13
8	934	13
9	1116	13
10	1154	13
done	1154	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* z z) t)
3.6b	(* (* y 4.0) (- (* z z) t))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt`
4×	`associate-r` `add-log-exp`
3×	`add-cube-cbrt` `sub-neg` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `flip--` `difference-of-squares`
1×	`diff-log` `associate-l` `*-commutative`

Counts

2 → 38

Calls

2 calls:

3.0ms	(- (* z z) t)
13.0ms	(* (* y 4.0) (- (* z z) t))

series87.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(- (* z z) t)
66.0ms	(* (* y 4.0) (- (* z z) t))

simplify2.8s

Counts

44 → 44

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	76	489
1	216	477
2	888	393
3	4451	393
done	5000	393

prune106.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 1.5b

localize13.0ms

Local error

Found 4 expressions with local error:

3.6b	(* (* y 4.0) (- (* z z) t))
5.3b	(cbrt (* (* y 4.0) (- (* z z) t)))
5.3b	(cbrt (* (* y 4.0) (- (* z z) t)))
5.3b	(cbrt (* (* y 4.0) (- (* z z) t)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`associate-*r/`
6×	`add-sqr-sqrt` `cbrt-div`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`flip3--` `associate-r` `flip--` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`associate-l` `*-commutative` `difference-of-squares`

Counts

4 → 58

Calls

4 calls:

13.0ms	(* (* y 4.0) (- (* z z) t))
11.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
7.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
8.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))

series498.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (* y 4.0) (- (* z z) t))
142.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
147.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
144.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))

simplify3.1s

Counts

70 → 70

Iterations

Useful iterations: 3 (488.0ms)

Iter	Nodes	Cost
0	112	1019
1	293	998
2	1054	841
3	4983	817
done	5000	817

prune239.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 1.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (pow z 4) (* t t)) 4.0)
1.1b	(- (pow z 4) (* t t))
10.1b	(* y (* (- (pow z 4) (* t t)) 4.0))
20.2b	(/ (* y (* (- (pow z 4) (* t t)) 4.0)) (+ (* z z) t))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
15×	`add-sqr-sqrt`
11×	`pow1`
9×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-*l/` `add-log-exp` `difference-of-squares`
4×	`flip3--` `associate-r/` `associate-r*` `pow-prod-down` `flip--`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-/r*`
2×	`unpow-prod-down` `associate-/r/` `*-commutative` `associate-/l/` `sqr-pow`
1×	`sub-neg` `frac-2neg` `flip3-+` `diff-log` `clear-num` `flip-+` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

32.0ms	(* (- (pow z 4) (* t t)) 4.0)
7.0ms	(- (pow z 4) (* t t))
27.0ms	(* y (* (- (pow z 4) (* t t)) 4.0))
30.0ms	(/ (* y (* (- (pow z 4) (* t t)) 4.0)) (+ (* z z) t))

series333.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (- (pow z 4) (* t t)) 4.0)
37.0ms	(- (pow z 4) (* t t))
99.0ms	(* y (* (- (pow z 4) (* t t)) 4.0))
144.0ms	(/ (* y (* (- (pow z 4) (* t t)) 4.0)) (+ (* z z) t))

simplify655.0ms

Counts

97 → 97

Iterations

Useful iterations: 2 (141.0ms)

Iter	Nodes	Cost
0	154	1590
1	429	1517
2	1977	1237
done	5001	1237

prune251.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 1.5b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ 1 (/ (+ (* z z) t) (* y (* (- (pow z 4) (* t t)) 4.0))))
1.1b	(- (pow z 4) (* t t))
10.1b	(* y (* (- (pow z 4) (* t t)) 4.0))
20.1b	(/ (+ (* z z) t) (* y (* (- (pow z 4) (* t t)) 4.0)))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-exp-log`
42×	`times-frac`
32×	`add-cbrt-cube`
27×	`add-sqr-sqrt`
25×	`add-cube-cbrt` `*-un-lft-identity`
20×	`div-exp`
15×	`prod-exp`
12×	`associate-r/` `associate-l/`
11×	`associate-/r/`
10×	`pow1` `cbrt-undiv` `associate-/r*`
9×	`cbrt-unprod`
7×	`flip3--` `flip--`
6×	`div-inv` `associate-/l*` `add-log-exp`
4×	`rec-exp` `1-exp`
3×	`associate-l` `pow-prod-down` `difference-of-squares`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`sub-neg` `unpow-prod-down` `pow-flip` `flip3-+` `diff-log` `associate-r` `*-commutative` `flip-+` `inv-pow` `sqr-pow`

Counts

4 → 130

Calls

4 calls:

48.0ms	(/ 1 (/ (+ (* z z) t) (* y (* (- (pow z 4) (* t t)) 4.0))))
6.0ms	(- (pow z 4) (* t t))
25.0ms	(* y (* (- (pow z 4) (* t t)) 4.0))
27.0ms	(/ (+ (* z z) t) (* y (* (- (pow z 4) (* t t)) 4.0)))

series288.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(/ 1 (/ (+ (* z z) t) (* y (* (- (pow z 4) (* t t)) 4.0))))
38.0ms	(- (pow z 4) (* t t))
100.0ms	(* y (* (- (pow z 4) (* t t)) 4.0))
65.0ms	(/ (+ (* z z) t) (* y (* (- (pow z 4) (* t t)) 4.0)))

simplify1.2s

Counts

142 → 142

Iterations

Useful iterations: 2 (209.0ms)

Iter	Nodes	Cost
0	220	3244
1	580	3032
2	2624	2479
done	5001	2479

prune302.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 1.5b

regimes271.0ms

Accuracy

81.9% (0.6b remaining)

Error of 3.3b against oracle of 2.7b and baseline of 5.8b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	36
1	25	36
done	25	36

end0.0ms

sample800.0ms

Algorithm

intervals

Results

438.0ms

15703×

body

valid