Details

sample56.0ms

Algorithm

intervals

Results

31.0ms

313×

body

valid

simplify3.2s

Counts

1 → 1

Iterations

Useful iterations: 8 (1.6s)

Iter	Nodes	Cost
0	14	17
1	25	17
2	46	17
3	95	17
4	154	17
5	224	17
6	349	17
7	755	17
8	2611	15
done	5000	15

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t) (/ x y))
0.0b	(+ (* (- 1.0 t) 2.0) (/ 2.0 z))
0.3b	(/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t)

rewrite252.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
7×	`add-log-exp`
5×	`add-exp-log` `frac-add` `add-cbrt-cube`
4×	`associate-*l/` `associate-/l/`
3×	`pow1` `flip3-+` `associate-/r` `flip-+` `associate-/l`
2×	`+-commutative` `flip3--` `sum-log` `flip--` `distribute-lft-out`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

3 → 58

Calls

3 calls:

156.0ms	(+ (/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t) (/ x y))
30.0ms	(+ (* (- 1.0 t) 2.0) (/ 2.0 z))
63.0ms	(/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t)

series180.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(+ (/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t) (/ x y))
41.0ms	(+ (* (- 1.0 t) 2.0) (/ 2.0 z))
74.0ms	(/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t)

simplify2.1s

Counts

67 → 67

Iterations

Useful iterations: 3 (846.0ms)

Iter	Nodes	Cost
0	133	1266
1	354	1207
2	1028	1119
3	3318	1101
done	5000	1101

prune278.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 t) 2.0)
0.0b	(+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0))
0.0b	(+ (+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0)) (/ x y))
0.4b	(/ 2.0 (* t z))

rewrite530.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

21.0ms	(- (/ 2.0 t) 2.0)
88.0ms	(+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0))
403.0ms	(+ (+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0)) (/ x y))
13.0ms	(/ 2.0 (* t z))

series236.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(- (/ 2.0 t) 2.0)
55.0ms	(+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0))
79.0ms	(+ (+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0)) (/ x y))
40.0ms	(/ 2.0 (* t z))

simplify1.1s

Counts

89 → 89

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	152	1463
1	411	1364
2	1450	1298
done	5000	1254

prune247.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0)) (/ x y))
0.0b	(+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0))
0.0b	(- (/ 2.0 t) 2.0)
0.3b	(/ (/ 2.0 t) z)

rewrite779.0ms

Algorithm

rewrite-expression-head

Rules

76×	`times-frac`
62×	`*-un-lft-identity`
51×	`add-sqr-sqrt`
46×	`add-cube-cbrt`
20×	`add-log-exp`
13×	`associate-/l*`
9×	`add-exp-log` `add-cbrt-cube`
8×	`frac-add`
7×	`sum-log` `distribute-lft-out`
5×	`div-inv`
4×	`pow1`
3×	`cbrt-undiv` `flip3--` `flip3-+` `diff-log` `div-exp` `associate-/r*` `flip--` `flip-+` `distribute-lft-out--`
2×	`+-commutative` `associate-+r-` `sub-neg` `associate-+r+` `difference-of-squares`
1×	`associate-+l-` `associate-+l+` `frac-2neg` `clear-num` `associate-/l/`

Counts

4 → 126

Calls

4 calls:

650.0ms	(+ (+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0)) (/ x y))
88.0ms	(+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0))
22.0ms	(- (/ 2.0 t) 2.0)
11.0ms	(/ (/ 2.0 t) z)

series209.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(+ (+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0)) (/ x y))
45.0ms	(+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0))
53.0ms	(- (/ 2.0 t) 2.0)
35.0ms	(/ (/ 2.0 t) z)

simplify1.0s

Counts

138 → 138

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	254	2128
1	621	1975
2	1758	1903
done	5000	1871

prune415.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ (* (- 1.0 t) 2.0) (/ 2.0 z))) (cbrt (+ (* (- 1.0 t) 2.0) (/ 2.0 z))))
0.8b	(cbrt (+ (* (- 1.0 t) 2.0) (/ 2.0 z)))
0.8b	(cbrt (+ (* (- 1.0 t) 2.0) (/ 2.0 z)))
0.8b	(cbrt (+ (* (- 1.0 t) 2.0) (/ 2.0 z)))

rewrite248.0ms

Algorithm

rewrite-expression-head

Rules

52×	`cbrt-div`
30×	`associate-*l/`
26×	`frac-add`
25×	`cbrt-prod`
23×	`add-sqr-sqrt`
16×	`frac-times`
15×	`add-cube-cbrt` `*-un-lft-identity`
13×	`flip3--` `flip3-+` `flip--` `flip-+`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`associate-*r/` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

181.0ms	(* (cbrt (+ (* (- 1.0 t) 2.0) (/ 2.0 z))) (cbrt (+ (* (- 1.0 t) 2.0) (/ 2.0 z))))
14.0ms	(cbrt (+ (* (- 1.0 t) 2.0) (/ 2.0 z)))
27.0ms	(cbrt (+ (* (- 1.0 t) 2.0) (/ 2.0 z)))
20.0ms	(cbrt (+ (* (- 1.0 t) 2.0) (/ 2.0 z)))

series668.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(* (cbrt (+ (* (- 1.0 t) 2.0) (/ 2.0 z))) (cbrt (+ (* (- 1.0 t) 2.0) (/ 2.0 z))))
142.0ms	(cbrt (+ (* (- 1.0 t) 2.0) (/ 2.0 z)))
181.0ms	(cbrt (+ (* (- 1.0 t) 2.0) (/ 2.0 z)))
133.0ms	(cbrt (+ (* (- 1.0 t) 2.0) (/ 2.0 z)))

simplify2.4s

Counts

121 → 121

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	209	3879
1	438	3658
2	1093	3470
3	2972	3044
done	5001	2968

prune679.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes135.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	13	15
done	13	15

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.1s

10419×

body

valid