Details

sample39.0ms

Algorithm

intervals

Results

19.0ms

279×

body

valid

simplify219.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	17	9
2	25	9
3	49	9
4	70	9
5	100	9
6	117	9
7	132	9
8	142	9
9	147	9
done	147	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) (- z y))
1.1b	(* (/ (- x y) (- z y)) t)

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 102

Calls

2 calls:

45.0ms	(/ (- x y) (- z y))
73.0ms	(* (/ (- x y) (- z y)) t)

series236.0ms

Counts

2 → 6

Calls

2 calls:

80.0ms	(/ (- x y) (- z y))
156.0ms	(* (/ (- x y) (- z y)) t)

simplify2.9s

Counts

108 → 108

Iterations

Useful iterations: 2 (300.0ms)

Iter	Nodes	Cost
0	143	1303
1	360	1269
2	963	1185
3	2888	1185
done	5000	1185

prune309.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

1.1b	(* (/ (- x y) (- z y)) t)
6.1b	(cbrt (* (/ (- x y) (- z y)) t))
6.1b	(cbrt (* (/ (- x y) (- z y)) t))
6.1b	(cbrt (* (/ (- x y) (- z y)) t))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
31×	`associate-l`
26×	`times-frac`
16×	`add-cube-cbrt`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
4×	`associate-*l/` `add-log-exp`
3×	`cbrt-prod` `cbrt-div` `pow1/3` `associate-r`
2×	`prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `flip3--` `div-exp` `pow-prod-down` `*-commutative` `flip--` `div-inv`

Counts

4 → 80

Calls

4 calls:

63.0ms	(* (/ (- x y) (- z y)) t)
13.0ms	(cbrt (* (/ (- x y) (- z y)) t))
19.0ms	(cbrt (* (/ (- x y) (- z y)) t))
25.0ms	(cbrt (* (/ (- x y) (- z y)) t))

series1.5s

Counts

4 → 12

Calls

4 calls:

114.0ms	(* (/ (- x y) (- z y)) t)
429.0ms	(cbrt (* (/ (- x y) (- z y)) t))
436.0ms	(cbrt (* (/ (- x y) (- z y)) t))
476.0ms	(cbrt (* (/ (- x y) (- z y)) t))

simplify2.2s

Counts

92 → 92

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	159	1288
1	376	1272
2	1010	1147
3	3437	1114
done	5002	1048

prune453.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
0.5b	(cbrt t)
0.5b	(cbrt t)
1.1b	(* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t)))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
31×	`associate-l`
26×	`times-frac`
18×	`add-cube-cbrt`
16×	`add-exp-log`
12×	`add-cbrt-cube`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`pow1` `cbrt-prod`
6×	`prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow1/3` `pow-prod-down`
2×	`cbrt-undiv` `div-exp` `associate-/r/` `unswap-sqr`
1×	`flip3--` `associate-r` `associate-l/` `-commutative` `flip--` `div-inv`

Counts

4 → 86

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
2.0ms	(cbrt t)
115.0ms	(* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t)))

series1.2s

Counts

4 → 12

Calls

4 calls:

295.0ms	(cbrt t)
281.0ms	(cbrt t)
308.0ms	(cbrt t)
308.0ms	(* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t)))

simplify3.4s

Counts

98 → 98

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	120	1072
1	323	1050
2	970	828
3	4382	819
done	5001	819

prune356.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- x y))
0.6b	(cbrt (- x y))
0.6b	(cbrt (- x y))
7.1b	(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

61×	`add-exp-log`
31×	`prod-exp` `add-cbrt-cube`
18×	`cbrt-unprod`
17×	`div-exp`
15×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity`
9×	`pow1` `cbrt-undiv` `add-cube-cbrt`
7×	`associate-l`
6×	`cbrt-div` `1-exp`
4×	`add-log-exp`
3×	`flip3--` `times-frac` `pow1/3` `pow-prod-down` `associate-*l/` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`frac-times` `associate-r/` `associate-r` `-commutative` `div-inv`

Counts

4 → 90

Calls

4 calls:

8.0ms	(cbrt (- x y))
10.0ms	(cbrt (- x y))
9.0ms	(cbrt (- x y))
155.0ms	(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

series761.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(cbrt (- x y))
215.0ms	(cbrt (- x y))
212.0ms	(cbrt (- x y))
125.0ms	(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

simplify2.3s

Counts

102 → 102

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	163	1949
1	396	1739
2	1323	1162
done	5000	968

prune352.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0b

regimes384.0ms

Accuracy

0% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	9	9
done	9	9

end0.0ms

sample1.2s

Algorithm

intervals

Results

438.0ms

8716×

body

valid