Details

sample23.0ms

Algorithm

intervals

Results

9.0ms	293×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	640	valid

simplify42.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	82
5	82
4	81
3	70
2	44
1	19
0	9

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ d2 (+ 10.0 20.0)) d1)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `associate-l`
3×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log` `add-cube-cbrt` `distribute-lft-out`
2×	`associate-*l/`
1×	`expm1-log1p-u` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

48.0ms

(* (+ d2 (+ 10.0 20.0)) d1)

series43.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(* (+ d2 (+ 10.0 20.0)) d1)

simplify2.4s

Counts

27 → 27

Iterations

Iter	Nodes
done	5000
3	3312
2	525
1	129
0	49

prune156.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (+ d2 (+ 10.0 20.0)))
0.2b	(* (cbrt (+ d2 (+ 10.0 20.0))) (cbrt (+ d2 (+ 10.0 20.0))))
0.3b	(* (cbrt (+ d2 (+ 10.0 20.0))) d1)
0.4b	(* (* (cbrt (+ d2 (+ 10.0 20.0))) (cbrt (+ d2 (+ 10.0 20.0)))) (* (cbrt (+ d2 (+ 10.0 20.0))) d1))

rewrite351.0ms

Algorithm

rewrite-expression-head

Rules

70×	`cbrt-div` `*-un-lft-identity`
47×	`cbrt-prod`
36×	`associate-*l/`
35×	`flip3-+` `flip-+`
32×	`frac-times`
30×	`distribute-lft-out`
28×	`add-sqr-sqrt`
25×	`pow1`
20×	`add-exp-log`
17×	`associate-l`
16×	`add-cube-cbrt`
14×	`swap-sqr`
12×	`associate-r`
11×	`add-cbrt-cube` `pow-prod-down`
10×	`prod-exp` `associate-*r/` `cbrt-unprod`
7×	`pow1/3`
6×	`unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 157

Calls

4 calls:

10.0ms	(cbrt (+ d2 (+ 10.0 20.0)))
101.0ms	(* (cbrt (+ d2 (+ 10.0 20.0))) (cbrt (+ d2 (+ 10.0 20.0))))
64.0ms	(* (cbrt (+ d2 (+ 10.0 20.0))) d1)
169.0ms	(* (* (cbrt (+ d2 (+ 10.0 20.0))) (cbrt (+ d2 (+ 10.0 20.0)))) (* (cbrt (+ d2 (+ 10.0 20.0))) d1))

series584.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(cbrt (+ d2 (+ 10.0 20.0)))
182.0ms	(* (cbrt (+ d2 (+ 10.0 20.0))) (cbrt (+ d2 (+ 10.0 20.0))))
241.0ms	(* (cbrt (+ d2 (+ 10.0 20.0))) d1)
47.0ms	(* (* (cbrt (+ d2 (+ 10.0 20.0))) (cbrt (+ d2 (+ 10.0 20.0)))) (* (cbrt (+ d2 (+ 10.0 20.0))) d1))

simplify2.1s

Counts

169 → 169

Iterations

Iter	Nodes
done	5000
2	2212
1	754
0	267

prune802.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 2 expressions with local error:

3.1b	(* (- (* d2 d2) (* (+ 10.0 20.0) (+ 10.0 20.0))) d1)
9.1b	(/ (* (- (* d2 d2) (* (+ 10.0 20.0) (+ 10.0 20.0))) d1) (- d2 (+ 10.0 20.0)))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
9×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/r*` `times-frac` `add-cube-cbrt`
4×	`pow1` `associate-l` `associate-*l/` `distribute-lft-out--`
3×	`flip3--` `associate-r` `flip--` `difference-of-squares`
2×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out` `add-log-exp` `associate-/l/`
1×	`clear-num` `frac-2neg` `pow-prod-down` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 56

Calls

2 calls:

40.0ms	(* (- (* d2 d2) (* (+ 10.0 20.0) (+ 10.0 20.0))) d1)
69.0ms	(/ (* (- (* d2 d2) (* (+ 10.0 20.0) (+ 10.0 20.0))) d1) (- d2 (+ 10.0 20.0)))

series172.0ms

Counts

2 → 6

Calls

2 calls:

78.0ms	(* (- (* d2 d2) (* (+ 10.0 20.0) (+ 10.0 20.0))) d1)
94.0ms	(/ (* (- (* d2 d2) (* (+ 10.0 20.0) (+ 10.0 20.0))) d1) (- d2 (+ 10.0 20.0)))

simplify1.4s

Counts

62 → 62

Iterations

Iter	Nodes
done	5001
2	1329
1	324
0	114

prune389.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 1 expressions with local error:

11.8b

(/ (- (* d2 d2) (* (+ 10.0 20.0) (+ 10.0 20.0))) (/ (- d2 (+ 10.0 20.0)) d1))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

178×	`times-frac`
149×	`*-un-lft-identity`
104×	`add-sqr-sqrt`
74×	`add-cube-cbrt`
38×	`difference-of-squares`
30×	`distribute-lft-out--`
22×	`associate-/r*`
15×	`distribute-lft-out`
6×	`add-cbrt-cube` `add-exp-log` `div-inv`
4×	`associate-/l*`
3×	`cbrt-undiv` `div-exp`
2×	`associate-/l/`
1×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `flip3--` `div-sub` `associate-/r/` `log1p-expm1-u` `flip--` `add-log-exp`

Counts

1 → 134

Calls

1 calls:

83.0ms

(/ (- (* d2 d2) (* (+ 10.0 20.0) (+ 10.0 20.0))) (/ (- d2 (+ 10.0 20.0)) d1))

series89.0ms

Counts

1 → 3

Calls

1 calls:

89.0ms

(/ (- (* d2 d2) (* (+ 10.0 20.0) (+ 10.0 20.0))) (/ (- d2 (+ 10.0 20.0)) d1))

simplify2.4s

Counts

137 → 137

Iterations

Iter	Nodes
done	5001
2	2819
1	773
0	237

prune574.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes77.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	10
1	10
0	7

end0.0ms

sample1.2s

Algorithm

intervals

Results

869.0ms	9055×	body	80	valid
8.0ms	49×	body	1280	valid
5.0ms	37×	body	640	valid
2.0ms	15×	body	320	valid
1.0ms	14×	body	160	valid