Details

sample45.0ms

Algorithm

intervals

Results

22.0ms

343×

body

valid

simplify9.5s

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	27	8
3	62	8
4	108	8
5	157	8
6	194	8
7	237	8
8	296	8
9	383	8
10	478	8
11	537	8
12	596	8
13	641	8
14	679	8
15	808	8
16	946	8
17	1261	8
18	1750	8
19	2362	8
20	2536	8
21	2543	8
done	2543	8

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.3b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
5.2b	(* (- y x) (/ z t))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 56

Calls

2 calls:

8.0ms	(+ x (* (- y x) (/ z t)))
42.0ms	(* (- y x) (/ z t))

series138.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(+ x (* (- y x) (/ z t)))
80.0ms	(* (- y x) (/ z t))

simplify3.7s

Counts

62 → 62

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	119	705
1	303	661
2	1124	603
3	4746	576
done	5000	576

prune265.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
5.0b	(* (* (- y x) (* (cbrt z) (cbrt z))) (/ (cbrt z) t))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
22×	`associate-r`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`cbrt-prod` `times-frac` `add-cbrt-cube`
13×	`pow1`
12×	`prod-exp` `cbrt-unprod`
6×	`pow-prod-down` `associate-*l/`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
2×	`frac-times` `flip3--` `flip--`
1×	`associate-r/` `associate-l` `-commutative` `div-inv`

Counts

4 → 92

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
123.0ms	(* (* (- y x) (* (cbrt z) (cbrt z))) (/ (cbrt z) t))

series1.0s

Counts

4 → 12

Calls

4 calls:

249.0ms	(cbrt z)
297.0ms	(cbrt z)
364.0ms	(cbrt z)
107.0ms	(* (* (- y x) (* (cbrt z) (cbrt z))) (/ (cbrt z) t))

simplify1.4s

Counts

104 → 104

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	148	1267
1	416	1208
2	1834	880
done	5001	750

prune384.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* (- y x) z) (/ 1 t)))
0.0b	(* (- y x) z)
8.4b	(* (* (- y x) z) (/ 1 t))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
17×	`add-sqr-sqrt` `add-cbrt-cube`
16×	`associate-r`
15×	`*-un-lft-identity`
13×	`add-cube-cbrt` `prod-exp`
10×	`pow1`
9×	`times-frac`
8×	`associate-*l/`
7×	`cbrt-unprod`
6×	`associate-l`
5×	`add-log-exp`
4×	`div-exp` `pow-prod-down`
3×	`expm1-log1p-u` `flip3--` `fma-def` `flip--` `log1p-expm1-u`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `*-commutative`
1×	`+-commutative` `flip3-+` `associate-*r/` `sum-log` `un-div-inv` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 84

Calls

3 calls:

8.0ms	(+ x (* (* (- y x) z) (/ 1 t)))
55.0ms	(* (- y x) z)
76.0ms	(* (* (- y x) z) (/ 1 t))

series194.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(+ x (* (* (- y x) z) (/ 1 t)))
46.0ms	(* (- y x) z)
77.0ms	(* (* (- y x) z) (/ 1 t))

simplify2.0s

Counts

93 → 93

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	153	1084
1	395	897
2	1282	769
done	5000	742

prune348.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

8.4b	(* (* (* (cbrt (* (- y x) z)) (cbrt (* (- y x) z))) (cbrt (* (- y x) z))) (/ 1 t))
10.1b	(cbrt (* (- y x) z))
10.1b	(cbrt (* (- y x) z))
10.1b	(cbrt (* (- y x) z))

rewrite393.0ms

Algorithm

rewrite-expression-head

Rules

168×	`associate-*l/`
114×	`cbrt-div`
82×	`frac-times`
57×	`flip3--` `flip--`
43×	`add-exp-log`
24×	`prod-exp`
17×	`associate-*r/` `add-cbrt-cube`
13×	`pow1` `associate-r`
12×	`cbrt-unprod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`div-exp` `pow-prod-down`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `cbrt-prod` `rec-exp` `pow1/3` `1-exp`
1×	`associate-l` `un-div-inv` `*-commutative` `div-inv`

Counts

4 → 138

Calls

4 calls:

343.0ms	(* (* (* (cbrt (* (- y x) z)) (cbrt (* (- y x) z))) (cbrt (* (- y x) z))) (/ 1 t))
9.0ms	(cbrt (* (- y x) z))
12.0ms	(cbrt (* (- y x) z))
15.0ms	(cbrt (* (- y x) z))

series1.0s

Counts

4 → 12

Calls

4 calls:

194.0ms	(* (* (* (cbrt (* (- y x) z)) (cbrt (* (- y x) z))) (cbrt (* (- y x) z))) (/ 1 t))
273.0ms	(cbrt (* (- y x) z))
309.0ms	(cbrt (* (- y x) z))
231.0ms	(cbrt (* (- y x) z))

simplify2.8s

Counts

150 → 150

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	285	4185
1	706	3808
2	1934	2972
done	5000	2756

prune657.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.0b

regimes411.0ms

Accuracy

8.8% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 1.9b

bsearch118.0ms

Steps

Iters	Range		Point
8	2.1392977079528842e-201	1.4934409668199333e-198	9.154341385217706e-201
8	-1.7606407671628563e-76	-5.0564584023528287e-79	-1.0471751360970815e-78

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	20	42
1	28	34
done	28	34

end0.0ms

sample1.2s

Algorithm

intervals

Results

524.0ms

10642×

body

valid