Details

sample38.0ms

Algorithm

intervals

Results

14.0ms

277×

body

valid

simplify3.6s

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	36	10
3	59	10
4	104	10
5	178	10
6	302	10
7	359	10
8	446	10
9	710	10
10	1270	10
11	3597	10
done	5000	10

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.4b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.3b	(fma (/ (- z t) (- a t)) y x)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-exp-log` `add-cbrt-cube`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `fma-udef` `div-inv`

Counts

2 → 64

Calls

2 calls:

41.0ms	(/ (- z t) (- a t))
1.0ms	(fma (/ (- z t) (- a t)) y x)

series205.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(/ (- z t) (- a t))
121.0ms	(fma (/ (- z t) (- a t)) y x)

simplify2.4s

Counts

70 → 70

Iterations

Useful iterations: 3 (730.0ms)

Iter	Nodes	Cost
0	113	884
1	264	856
2	826	810
3	4312	808
done	5000	808

prune298.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.8b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
0.2b	(* (- z t) (/ 1 (- a t)))
1.3b	(fma (* (- z t) (/ 1 (- a t))) y x)

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
32×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
16×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`associate-l` `associate-/r*`
4×	`flip3--` `div-exp` `prod-exp` `associate-/r/` `flip--`
3×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `fma-udef` `inv-pow`

Counts

3 → 105

Calls

3 calls:

28.0ms	(/ 1 (- a t))
85.0ms	(* (- z t) (/ 1 (- a t)))
0.0ms	(fma (* (- z t) (/ 1 (- a t))) y x)

series312.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(/ 1 (- a t))
82.0ms	(* (- z t) (/ 1 (- a t)))
158.0ms	(fma (* (- z t) (/ 1 (- a t))) y x)

simplify5.4s

Counts

114 → 114

Iterations

Useful iterations: 2 (585.0ms)

Iter	Nodes	Cost
0	149	1251
1	356	1101
2	2788	924
done	5001	924

prune358.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.8b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a t))
0.6b	(cbrt (- a t))
0.6b	(cbrt (- a t))
1.3b	(fma (* (- z t) (/ (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t)))) y x)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`fma-udef`

Counts

4 → 61

Calls

4 calls:

8.0ms	(cbrt (- a t))
8.0ms	(cbrt (- a t))
8.0ms	(cbrt (- a t))
1.0ms	(fma (* (- z t) (/ (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t)))) y x)

series778.0ms

Counts

4 → 12

Calls

4 calls:

238.0ms	(cbrt (- a t))
210.0ms	(cbrt (- a t))
202.0ms	(cbrt (- a t))
127.0ms	(fma (* (- z t) (/ (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t)))) y x)

simplify1.1s

Counts

73 → 73

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	94	917
1	194	899
2	487	741
3	1742	650
done	5000	614

prune392.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ y (- a t)) (- z t)) x)
9.6b	(* (/ y (- a t)) (- z t))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 106

Calls

2 calls:

27.0ms	(+ (* (/ y (- a t)) (- z t)) x)
59.0ms	(* (/ y (- a t)) (- z t))

series584.0ms

Counts

2 → 6

Calls

2 calls:

300.0ms	(+ (* (/ y (- a t)) (- z t)) x)
284.0ms	(* (/ y (- a t)) (- z t))

simplify2.4s

Counts

112 → 112

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	194	1953
1	543	1630
2	2834	1434
done	5001	1408

prune417.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes237.0ms

Accuracy

69.8% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.2b

bsearch136.0ms

Steps

Iters	Range		Point
10	1.4095459073976581e+23	5.444123002521343e+37	1.62944616184125e+23
9	-8.622572584051833e-42	-7.469085093481095e-51	-1.7078071045322135e-46

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	18	39
1	23	30
done	23	30

end0.0ms

sample1.3s

Algorithm

intervals

Results

539.0ms	8710×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	2×	body	160	valid