Details

sample21.0ms

Algorithm

intervals

Results

10.0ms	295×	body	80	valid
1.0ms	11×	body	640	valid
0.0ms	3×	body	1280	valid
0.0ms	4×	body	320	valid
0.0ms	4×	body	160	valid

simplify31.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	9	11
1	19	9
2	43	7
3	66	7
4	72	7
5	73	7
done	73	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ d3 (+ 3.0 d2))
0.0b	(* d1 (+ d3 (+ 3.0 d2)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
7×	`add-sqr-sqrt` `add-log-exp`
6×	`distribute-lft-out`
5×	`add-cube-cbrt` `associate-r`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`fma-def` `associate-l` `sum-log`
2×	`expm1-log1p-u` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u`
1×	`+-commutative` `distribute-rgt-in` `associate-+r+` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 46

Calls

2 calls:

8.0ms	(+ d3 (+ 3.0 d2))
30.0ms	(* d1 (+ d3 (+ 3.0 d2)))

series43.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(+ d3 (+ 3.0 d2))
30.0ms	(* d1 (+ d3 (+ 3.0 d2)))

simplify1.6s

Counts

52 → 52

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	70	438
1	207	414
2	805	373
3	3409	373
done	5001	373

prune99.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ 3.0 d2) (+ 3.0 d2))
2.0b	(- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2)))
6.1b	(* d1 (- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2))))
13.9b	(/ (* d1 (- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2)))) (- d3 (+ 3.0 d2)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
13×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`add-cube-cbrt`
8×	`associate-r` `distribute-lft-out`
7×	`associate-l`
6×	`flip3-+` `times-frac` `associate-r/` `swap-sqr` `associate-/r` `flip-+` `add-log-exp`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `frac-times` `flip3--` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `prod-diff` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `associate-/r/` `-commutative` `associate-/l/` `associate--r+` `unswap-sqr`
1×	`pow2` `frac-2neg` `pow-plus` `fma-neg` `diff-log` `clear-num` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l*`

Counts

4 → 123

Calls

4 calls:

17.0ms	(* (+ 3.0 d2) (+ 3.0 d2))
3.0ms	(- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2)))
11.0ms	(* d1 (- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2))))
23.0ms	(/ (* d1 (- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2)))) (- d3 (+ 3.0 d2)))

series231.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (+ 3.0 d2) (+ 3.0 d2))
34.0ms	(- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2)))
83.0ms	(* d1 (- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2))))
95.0ms	(/ (* d1 (- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2)))) (- d3 (+ 3.0 d2)))

simplify1.1s

Counts

135 → 135

Iterations

Useful iterations: 2 (193.0ms)

Iter	Nodes	Cost
0	202	2307
1	580	2133
2	2705	1850
done	5000	1850

prune265.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

1.5b	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 (+ 3.0 d2)))
2.9b	(* d1 (+ (pow d3 3) (pow (+ 3.0 d2) 3)))
3.0b	(+ (pow d3 3) (pow (+ 3.0 d2) 3))
23.3b	(/ (* d1 (+ (pow d3 3) (pow (+ 3.0 d2) 3))) (+ (* d3 d3) (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 (+ 3.0 d2)))))

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

55×	`*-un-lft-identity`
30×	`associate-*r/`
28×	`flip3-+` `flip-+`
26×	`distribute-lft-out`
19×	`unpow-prod-down` `cube-prod`
16×	`frac-sub`
13×	`add-sqr-sqrt` `associate-r`
12×	`fma-def`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
8×	`frac-times` `add-log-exp`
6×	`pow1` `associate-*l/`
4×	`expm1-log1p-u` `log1p-expm1-u` `sub-div`
3×	`distribute-rgt-in` `distribute-lft-in` `times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate--l+` `associate-/r/` `sum-cubes` `cbrt-unprod` `associate-/l/` `associate--r+`
1×	`+-commutative` `cube-mult` `sub-neg` `flip3--` `distribute-rgt-out--` `frac-2neg` `fma-neg` `diff-log` `unpow3` `prod-diff` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip--` `div-inv` `associate-/l` `unswap-sqr` `sqr-pow`

Counts

4 → 137

Calls

4 calls:

11.0ms	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 (+ 3.0 d2)))
94.0ms	(* d1 (+ (pow d3 3) (pow (+ 3.0 d2) 3)))
26.0ms	(+ (pow d3 3) (pow (+ 3.0 d2) 3))
61.0ms	(/ (* d1 (+ (pow d3 3) (pow (+ 3.0 d2) 3))) (+ (* d3 d3) (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 (+ 3.0 d2)))))

series444.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 (+ 3.0 d2)))
152.0ms	(* d1 (+ (pow d3 3) (pow (+ 3.0 d2) 3)))
60.0ms	(+ (pow d3 3) (pow (+ 3.0 d2) 3))
201.0ms	(/ (* d1 (+ (pow d3 3) (pow (+ 3.0 d2) 3))) (+ (* d3 d3) (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 (+ 3.0 d2)))))

simplify1.2s

Counts

149 → 149

Iterations

Useful iterations: 2 (307.0ms)

Iter	Nodes	Cost
0	265	3425
1	858	2845
2	4041	2455
done	5000	2455

prune424.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

3.1b	(* d1 (- (pow d3 4) (pow (+ d2 3.0) 4)))
4.3b	(- (pow d3 4) (pow (+ d2 3.0) 4))
13.9b	(/ (/ (* d1 (- (pow d3 4) (pow (+ d2 3.0) 4))) (+ (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2)))) (- d3 (+ 3.0 d2)))
22.6b	(/ (* d1 (- (pow d3 4) (pow (+ d2 3.0) 4))) (+ (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2))))

rewrite246.0ms

Algorithm

rewrite-expression-head

Rules

230×	`*-un-lft-identity`
179×	`unpow-prod-down`
170×	`add-sqr-sqrt`
168×	`prod-diff`
124×	`add-cube-cbrt`
78×	`times-frac`
58×	`distribute-rgt-in` `distribute-lft-in` `sqr-pow`
33×	`distribute-lft-out`
28×	`difference-of-squares`
26×	`distribute-lft-out--`
20×	`add-exp-log` `add-cbrt-cube`
18×	`associate-/r/`
15×	`associate-r`
10×	`associate-/l*`
9×	`associate-/r*` `div-inv`
8×	`flip3-+` `flip-+`
7×	`cbrt-undiv` `fma-neg` `div-exp`
6×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u`
3×	`sub-neg` `associate-l` `prod-exp` `cbrt-unprod` `associate-/l/`
2×	`frac-2neg` `clear-num`
1×	`diff-log` `pow-prod-down` `*-commutative` `unswap-sqr`

Counts

4 → 356

Calls

4 calls:

89.0ms	(* d1 (- (pow d3 4) (pow (+ d2 3.0) 4)))
28.0ms	(- (pow d3 4) (pow (+ d2 3.0) 4))
43.0ms	(/ (/ (* d1 (- (pow d3 4) (pow (+ d2 3.0) 4))) (+ (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2)))) (- d3 (+ 3.0 d2)))
66.0ms	(/ (* d1 (- (pow d3 4) (pow (+ d2 3.0) 4))) (+ (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2))))

series836.0ms

Counts

4 → 12

Calls

4 calls:

242.0ms	(* d1 (- (pow d3 4) (pow (+ d2 3.0) 4)))
79.0ms	(- (pow d3 4) (pow (+ d2 3.0) 4))
251.0ms	(/ (/ (* d1 (- (pow d3 4) (pow (+ d2 3.0) 4))) (+ (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2)))) (- d3 (+ 3.0 d2)))
264.0ms	(/ (* d1 (- (pow d3 4) (pow (+ d2 3.0) 4))) (+ (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2))))

simplify466.0ms

Counts

368 → 368

Iterations

Useful iterations: done (450.0ms)

Iter	Nodes	Cost
0	515	15292
1	1199	11677
done	5002	10833

prune857.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes56.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	10	7
done	10	7

end0.0ms

sample496.0ms

Algorithm

intervals

Results

243.0ms	9494×	body	80	valid
19.0ms	221×	body	640	valid
11.0ms	100×	body	1280	valid
9.0ms	141×	body	320	valid
4.0ms	83×	body	160	valid