Details

sample58.0ms

Algorithm

intervals

Results

28.0ms

279×

body

valid

simplify4.0s

Counts

1 → 1

Iterations

Useful iterations: 3 (23.0ms)

Iter	Nodes	Cost
0	10	11
1	18	11
2	33	11
3	61	10
4	116	10
5	190	10
6	280	10
7	377	10
8	671	10
9	1257	10
10	3679	10
done	5000	10

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- z a))
2.3b	(fma (/ y (- z a)) (- z t) x)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

25.0ms	(/ y (- z a))
1.0ms	(fma (/ y (- z a)) (- z t) x)

series205.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ y (- z a))
162.0ms	(fma (/ y (- z a)) (- z t) x)

simplify1.1s

Counts

55 → 55

Iterations

Useful iterations: 2 (136.0ms)

Iter	Nodes	Cost
0	92	552
1	177	535
2	458	495
3	1646	495
done	5000	495

prune232.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z a))
0.2b	(* y (/ 1 (- z a)))
2.3b	(fma (* y (/ 1 (- z a))) (- z t) x)

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
32×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
16×	`add-exp-log`
10×	`add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`associate-/r*`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `flip3--` `1-exp` `flip--` `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 → 99

Calls

3 calls:

20.0ms	(/ 1 (- z a))
51.0ms	(* y (/ 1 (- z a)))
1.0ms	(fma (* y (/ 1 (- z a))) (- z t) x)

series317.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(/ 1 (- z a))
72.0ms	(* y (/ 1 (- z a)))
186.0ms	(fma (* y (/ 1 (- z a))) (- z t) x)

simplify869.0ms

Counts

108 → 108

Iterations

Useful iterations: done (865.0ms)

Iter	Nodes	Cost
0	132	1057
1	310	916
2	1129	757
done	5001	755

prune364.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z a))
0.5b	(cbrt (- z a))
0.5b	(cbrt (- z a))
2.3b	(fma (* (/ y (* (cbrt (- z a)) (cbrt (- z a)))) (/ (cbrt 1) (cbrt (- z a)))) (- z t) x)

rewrite25.0ms

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:

7.0ms	(cbrt (- z a))
8.0ms	(cbrt (- z a))
8.0ms	(cbrt (- z a))
1.0ms	(fma (* (/ y (* (cbrt (- z a)) (cbrt (- z a)))) (/ (cbrt 1) (cbrt (- z a)))) (- z t) x)

series790.0ms

Counts

4 → 12

Calls

4 calls:

237.0ms	(cbrt (- z a))
213.0ms	(cbrt (- z a))
231.0ms	(cbrt (- z a))
108.0ms	(fma (* (/ y (* (cbrt (- z a)) (cbrt (- z a)))) (/ (cbrt 1) (cbrt (- z a)))) (- z t) x)

simplify1.8s

Counts

73 → 73

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	94	930
1	196	899
2	523	807
3	2217	650
done	5001	614

prune430.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- z a)))
0.0b	(* y (- z t))
9.2b	(/ (* y (- z t)) (- z a))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 94

Calls

3 calls:

22.0ms	(+ x (/ (* y (- z t)) (- z a)))
49.0ms	(* y (- z t))
36.0ms	(/ (* y (- z t)) (- z a))

series304.0ms

Counts

3 → 9

Calls

3 calls:

141.0ms	(+ x (/ (* y (- z t)) (- z a)))
53.0ms	(* y (- z t))
110.0ms	(/ (* y (- z t)) (- z a))

simplify1.4s

Counts

103 → 103

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	182	1394
1	475	1183
2	1994	1009
done	5000	972

prune387.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes175.0ms

Accuracy

60.6% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.2b

bsearch136.0ms

Steps

Iters	Range		Point
9	5.235214087679141e-108	2.6665792587040808e-102	1.8128397489845453e-103
7	-2.7449063433751756e-58	-2.8196191390646307e-60	-4.2934639627149985e-60

simplify7.0ms

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	21	43
1	30	33
done	30	33

end0.0ms

sample1.7s

Algorithm

intervals

Results

620.0ms	8739×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid