Details

sample23.0ms

Algorithm

intervals

Results

9.0ms

339×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 3 (7.0ms)

Iter	Nodes	Cost
0	9	9
1	15	9
2	26	9
3	49	8
4	89	8
5	140	8
6	186	8
7	232	8
8	307	8
9	398	8
10	630	8
11	840	8
12	967	8
13	993	8
done	993	8

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

4.2b	(fma (/ y a) (- z t) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (/ y a) (- z t) x)

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(fma (/ y a) (- z t) x)

simplify701.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (25.0ms)

Iter	Nodes	Cost
0	24	154
1	41	154
2	92	138
3	221	123
4	1092	123
done	5000	123

prune40.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt` `*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `add-cbrt-cube`
7×	`fma-def`
6×	`times-frac`
5×	`pow1` `associate-r` `add-log-exp`
4×	`associate-*r/`
3×	`expm1-log1p-u` `associate-l` `associate-/r*` `log1p-expm1-u`
2×	`cbrt-undiv` `sub-neg` `flip3--` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `div-inv` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `distribute-lft-out` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 92

Calls

3 calls:

17.0ms	(+ (/ (* y (- z t)) a) x)
11.0ms	(* y (- z t))
10.0ms	(/ (* y (- z t)) a)

series130.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(+ (/ (* y (- z t)) a) x)
37.0ms	(* y (- z t))
45.0ms	(/ (* y (- z t)) a)

simplify660.0ms

Counts

101 → 101

Iterations

Useful iterations: 2 (120.0ms)

Iter	Nodes	Cost
0	170	1262
1	392	1061
2	1510	863
done	5000	863

prune186.0ms

Pruning

6 alts after pruning (4 fresh and 2 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)))

rewrite46.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 141

Calls

4 calls:

0.0ms	(cbrt a)
0.0ms	(cbrt a)
5.0ms	(* (cbrt a) (cbrt a))
34.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series637.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt a)
177.0ms	(cbrt a)
192.0ms	(* (cbrt a) (cbrt a))
88.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify1.0s

Counts

153 → 153

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	199	1895
1	555	1784
2	2928	1372
done	5000	1364

prune420.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

246×	`times-frac`
172×	`*-un-lft-identity`
170×	`add-sqr-sqrt`
120×	`add-cube-cbrt`
68×	`fma-def`
26×	`associate-/r*`
25×	`distribute-lft-out--` `difference-of-squares`
18×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube` `div-inv`
8×	`flip3--` `flip--`
6×	`associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 225

Calls

3 calls:

60.0ms	(+ (/ y (/ a (- z t))) x)
5.0ms	(/ a (- z t))
9.0ms	(/ y (/ a (- z t)))

series130.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(+ (/ y (/ a (- z t))) x)
27.0ms	(/ a (- z t))
55.0ms	(/ y (/ a (- z t)))

simplify700.0ms

Counts

234 → 234

Iterations

Useful iterations: 2 (171.0ms)

Iter	Nodes	Cost
0	251	2339
1	566	2186
2	2349	2093
done	5001	2093

prune629.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes290.0ms

Accuracy

64.2% (1.2b remaining)

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

bsearch61.0ms

Steps

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

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	22	36
1	27	34
2	29	34
done	29	34

end0.0ms

sample642.0ms

Algorithm

intervals

Results

309.0ms

10663×

body

valid