Details

sample23.0ms

Algorithm

intervals

Results

9.0ms

339×

body

valid

simplify446.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	9
1	16	9
2	32	9
3	65	9
4	138	9
5	213	9
6	267	9
7	296	9
8	359	9
9	456	9
10	462	9
done	462	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.6b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(- x (/ (* y (- z t)) a))
4.9b	(/ (* y (- z t)) a)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `associate-r` `add-log-exp`
4×	`associate-*r/`
3×	`sub-neg` `flip3--` `times-frac` `associate-l` `associate-/r*` `flip--`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`frac-2neg` `diff-log` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

10.0ms	(* y (- z t))
4.0ms	(- x (/ (* y (- z t)) a))
6.0ms	(/ (* y (- z t)) a)

series131.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(* y (- z t))
47.0ms	(- x (/ (* y (- z t)) a))
50.0ms	(/ (* y (- z t)) a)

simplify1.4s

Counts

72 → 72

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	120	760
1	291	717
2	853	639
3	3810	627
done	5001	624

prune160.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt a)
0.6b	(* (cbrt a) (cbrt a))
5.9b	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

69×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
40×	`times-frac` `associate-r`
39×	`cbrt-prod`
33×	`add-cube-cbrt`
27×	`add-exp-log`
18×	`add-cbrt-cube`
13×	`pow1` `associate-l`
10×	`unswap-sqr`
9×	`prod-exp` `cbrt-unprod`
8×	`pow1/3`
7×	`cbrt-undiv` `div-exp`
6×	`swap-sqr` `distribute-lft-out--` `difference-of-squares`
4×	`add-log-exp`
3×	`pow-prod-down`
2×	`pow-sqr` `*-commutative` `pow-prod-up` `div-inv`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/`

Counts

4 → 133

Calls

4 calls:

0.0ms	(cbrt a)
0.0ms	(cbrt a)
6.0ms	(* (cbrt a) (cbrt a))
34.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series640.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt a)
175.0ms	(cbrt a)
197.0ms	(* (cbrt a) (cbrt a))
91.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify847.0ms

Counts

145 → 145

Iterations

Useful iterations: done (844.0ms)

Iter	Nodes	Cost
0	193	1841
1	543	1516
2	2485	1330
done	5000	1322

prune411.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ y (/ a (- z t))))
0.0b	(/ a (- z t))
5.4b	(/ y (/ a (- z t)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac`
112×	`add-sqr-sqrt`
105×	`*-un-lft-identity`
71×	`add-cube-cbrt`
26×	`associate-/r*`
19×	`difference-of-squares`
17×	`distribute-lft-out--`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
6×	`flip3--` `flip--` `div-inv` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `diff-log`

Counts

3 → 155

Calls

3 calls:

31.0ms	(- x (/ y (/ a (- z t))))
5.0ms	(/ a (- z t))
9.0ms	(/ y (/ a (- z t)))

series131.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(- x (/ y (/ a (- z t))))
28.0ms	(/ a (- z t))
56.0ms	(/ y (/ a (- z t)))

simplify663.0ms

Counts

164 → 164

Iterations

Useful iterations: 2 (197.0ms)

Iter	Nodes	Cost
0	253	2379
1	552	2224
2	1808	2144
done	5001	2144

prune422.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (* (/ y a) (- z t)))
8.1b	(* (/ y a) (- z t))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-l`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`sub-neg` `associate-r`
4×	`pow1` `distribute-rgt-in` `distribute-lft-in` `associate--r+` `add-log-exp`
3×	`flip3--` `flip--`
2×	`frac-times` `associate-*r/` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 58

Calls

2 calls:

2.0ms	(- x (* (/ y a) (- z t)))
15.0ms	(* (/ y a) (- z t))

series103.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(- x (* (/ y a) (- z t)))
57.0ms	(* (/ y a) (- z t))

simplify2.0s

Counts

64 → 64

Iterations

Useful iterations: 3 (835.0ms)

Iter	Nodes	Cost
0	124	739
1	314	707
2	1057	647
3	4168	633
done	5000	633

prune132.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes341.0ms

Accuracy

64.2% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 3.3b

bsearch64.0ms

Steps

Iters	Range		Point
8	3.713066983026811e+65	6.642013340869958e+68	3.7574005919343346e+65
6	-2.6747694130275977e+104	-4.940402320025422e+103	-1.3995028580527438e+104

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	35
1	23	35
done	23	35

end0.0ms

sample619.0ms

Algorithm

intervals

Results

307.0ms

10663×

body

valid