Details

sample26.0ms

Algorithm

intervals

Results

12.0ms

283×

body

valid

simplify4.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
21	4733
20	4431
19	4132
18	3790
17	3489
16	3146
15	2840
14	2378
13	1801
12	1283
11	859
10	585
9	413
8	338
7	257
6	204
5	146
4	95
3	52
2	30
1	17
0	10

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
3.2b	(fma (/ y (- a t)) (- z t) x)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/r*`
4×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out--` `difference-of-squares`
3×	`associate-/l*`
2×	`expm1-log1p-u` `pow1` `associate-/r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `fma-udef` `div-inv` `flip--`

Counts

2 → 51

Calls

2 calls:

12.0ms	(/ y (- a t))
0.0ms	(fma (/ y (- a t)) (- z t) x)

series333.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ y (- a t))
295.0ms	(fma (/ y (- a t)) (- z t) x)

simplify1.5s

Counts

57 → 57

Iterations

Iter	Nodes
done	5002
3	1379
2	448
1	175
0	94

prune353.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
3.2b	(fma (/ (* (cbrt y) (cbrt y)) (/ (- a t) (cbrt y))) (- z t) x)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`fma-udef`

Counts

4 → 53

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
0.0ms	(fma (/ (* (cbrt y) (cbrt y)) (/ (- a t) (cbrt y))) (- z t) x)

series1.2s

Counts

4 → 12

Calls

4 calls:

258.0ms	(cbrt y)
337.0ms	(cbrt y)
313.0ms	(cbrt y)
335.0ms	(fma (/ (* (cbrt y) (cbrt y)) (/ (- a t) (cbrt y))) (- z t) x)

simplify3.3s

Counts

65 → 65

Iterations

Iter	Nodes
done	5000
4	3706
3	667
2	211
1	91
0	51

prune510.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
9.9b	(/ (* y (- z t)) (- a t))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
18×	`prod-diff` `add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-cbrt-cube` `add-exp-log`
5×	`associate-/r` `times-frac` `associate-r*`
4×	`pow1` `associate-*r/`
3×	`flip3--` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`expm1-log1p-u` `cbrt-undiv` `sub-neg` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `associate-/l/`
1×	`clear-num` `frac-2neg` `pow-prod-down` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 79

Calls

2 calls:

35.0ms	(* y (- z t))
38.0ms	(/ (* y (- z t)) (- a t))

series153.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(* y (- z t))
89.0ms	(/ (* y (- z t)) (- a t))

simplify3.7s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
3	4545
2	1061
1	397
0	159

prune446.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.4b	(* y (/ (- z t) (- a t)))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
26×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
9×	`add-cbrt-cube` `add-exp-log`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-sub` `pow-prod-down` `associate-r/` `-commutative`

Counts

2 → 108

Calls

2 calls:

38.0ms	(/ (- z t) (- a t))
65.0ms	(* y (/ (- z t) (- a t)))

series205.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(/ (- z t) (- a t))
124.0ms	(* y (/ (- z t) (- a t)))

simplify3.2s

Counts

114 → 114

Iterations

Iter	Nodes
done	5000
3	4741
2	1142
1	377
0	144

prune483.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes339.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample989.0ms

Algorithm

intervals

Results

650.0ms	8716×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid