Details

sample173.0ms

Algorithm

intervals

Results

144.0ms

273×

body

valid

simplify9.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
21	4695
20	4367
19	4018
18	3682
17	3328
16	2950
15	2451
14	1843
13	1400
12	1079
11	788
10	555
9	383
8	308
7	240
6	201
5	146
4	95
3	52
2	30
1	17
0	10

prune54.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
3.7b	(fma (- z t) (/ y (- a t)) x)

rewrite35.0ms

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:

31.0ms	(/ y (- a t))
1.0ms	(fma (- z t) (/ y (- a t)) x)

series262.0ms

Counts

2 → 6

Calls

2 calls:

95.0ms	(/ y (- a t))
164.0ms	(fma (- z t) (/ y (- a t)) x)

simplify2.6s

Counts

55 → 55

Iterations

Iter	Nodes
done	5000
3	1253
2	457
1	176
0	92

prune903.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
0.2b	(* y (/ 1 (- a t)))
3.7b	(fma (- z t) (* y (/ 1 (- a t))) x)

rewrite130.0ms

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:

30.0ms	(/ 1 (- a t))
86.0ms	(* y (/ 1 (- a t)))
1.0ms	(fma (- z t) (* y (/ 1 (- a t))) x)

series394.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(/ 1 (- a t))
63.0ms	(* y (/ 1 (- a t)))
243.0ms	(fma (- z t) (* y (/ 1 (- a t))) x)

simplify6.1s

Counts

108 → 108

Iterations

Iter	Nodes
done	5001
3	1996
2	800
1	302
0	132

prune1.4s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize124.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a t))
0.6b	(cbrt (- a t))
0.6b	(cbrt (- a t))
3.7b	(fma (- z t) (* (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))) x)

rewrite40.0ms

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:

9.0ms	(cbrt (- a t))
18.0ms	(cbrt (- a t))
9.0ms	(cbrt (- a t))
1.0ms	(fma (- z t) (* (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))) x)

series2.2s

Counts

4 → 12

Calls

4 calls:

630.0ms	(cbrt (- a t))
644.0ms	(cbrt (- a t))
662.0ms	(cbrt (- a t))
237.0ms	(fma (- z t) (* (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))) x)

simplify6.5s

Counts

73 → 73

Iterations

Iter	Nodes
done	5001
3	1277
2	443
1	195
0	94

prune2.8s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* (- z t) y) (- a t)) x)
0.0b	(* (- z t) y)
10.3b	(/ (* (- z t) y) (- a t))

rewrite761.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `*-un-lft-identity`
11×	`fma-def`
10×	`add-exp-log` `times-frac` `add-cbrt-cube`
9×	`add-cube-cbrt`
5×	`pow1` `associate-l` `associate-/r*` `add-log-exp`
4×	`flip3--` `associate-*l/` `associate-/r/` `flip--` `distribute-lft-out--` `difference-of-squares`
3×	`expm1-log1p-u` `associate-r` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `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` `unswap-sqr`

Counts

3 → 80

Calls

3 calls:

227.0ms	(+ (/ (* (- z t) y) (- a t)) x)
85.0ms	(* (- z t) y)
367.0ms	(/ (* (- z t) y) (- a t))

series981.0ms

Counts

3 → 9

Calls

3 calls:

329.0ms	(+ (/ (* (- z t) y) (- a t)) x)
170.0ms	(* (- z t) y)
466.0ms	(/ (* (- z t) y) (- a t))

simplify4.9s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
2	1163
1	347
0	130

prune1.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes1.2s

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.8s	8764×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid