Details

sample37.0ms

Algorithm

intervals

Results

17.0ms

268×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

Useful iterations: 4 (55.0ms)

Iter	Nodes	Cost
0	12	246
1	25	246
2	58	246
3	108	246
4	265	221
5	954	221
6	4400	221
done	5000	221

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z y) (+ (- t z) 1.0))
0.1b	(fma (/ (- z y) (+ (- t z) 1.0)) a x)

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 64

Calls

2 calls:

71.0ms	(/ (- z y) (+ (- t z) 1.0))
1.0ms	(fma (/ (- z y) (+ (- t z) 1.0)) a x)

series235.0ms

Counts

2 → 6

Calls

2 calls:

99.0ms	(/ (- z y) (+ (- t z) 1.0))
137.0ms	(fma (/ (- z y) (+ (- t z) 1.0)) a x)

simplify1.1s

Counts

70 → 70

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	111	20350
1	268	18971
2	966	18826
done	5001	18751

prune431.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (+ (- t z) 1.0))
0.1b	(fma (* (- z y) (/ 1 (+ (- t z) 1.0))) a x)
0.2b	(* (- z y) (/ 1 (+ (- t z) 1.0)))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 105

Calls

3 calls:

40.0ms	(/ 1 (+ (- t z) 1.0))
0.0ms	(fma (* (- z y) (/ 1 (+ (- t z) 1.0))) a x)
93.0ms	(* (- z y) (/ 1 (+ (- t z) 1.0)))

series255.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(/ 1 (+ (- t z) 1.0))
113.0ms	(fma (* (- z y) (/ 1 (+ (- t z) 1.0))) a x)
72.0ms	(* (- z y) (/ 1 (+ (- t z) 1.0)))

simplify4.2s

Counts

114 → 114

Iterations

Useful iterations: done (4.2s)

Iter	Nodes	Cost
0	151	29720
1	392	23694
2	2815	21720
done	5001	21565

prune791.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (- z y) (/ 1 (+ (- t z) 1.0)))) (cbrt (* (- z y) (/ 1 (+ (- t z) 1.0)))))
2.8b	(cbrt (* (- z y) (/ 1 (+ (- t z) 1.0))))
2.8b	(cbrt (* (- z y) (/ 1 (+ (- t z) 1.0))))
2.8b	(cbrt (* (- z y) (/ 1 (+ (- t z) 1.0))))

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

102×	`cbrt-div`
70×	`frac-times`
40×	`associate-*l/`
34×	`flip3--` `flip--`
23×	`associate-*r/`
17×	`un-div-inv`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 132

Calls

4 calls:

46.0ms	(* (cbrt (* (- z y) (/ 1 (+ (- t z) 1.0)))) (cbrt (* (- z y) (/ 1 (+ (- t z) 1.0)))))
22.0ms	(cbrt (* (- z y) (/ 1 (+ (- t z) 1.0))))
46.0ms	(cbrt (* (- z y) (/ 1 (+ (- t z) 1.0))))
26.0ms	(cbrt (* (- z y) (/ 1 (+ (- t z) 1.0))))

series1.4s

Counts

4 → 12

Calls

4 calls:

266.0ms	(* (cbrt (* (- z y) (/ 1 (+ (- t z) 1.0)))) (cbrt (* (- z y) (/ 1 (+ (- t z) 1.0)))))
351.0ms	(cbrt (* (- z y) (/ 1 (+ (- t z) 1.0))))
432.0ms	(cbrt (* (- z y) (/ 1 (+ (- t z) 1.0))))
393.0ms	(cbrt (* (- z y) (/ 1 (+ (- t z) 1.0))))

simplify1.5s

Counts

144 → 144

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	192	86440
1	404	70313
2	1358	66052
done	5000	65137

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ (- t z) 1.0) a)
0.0b	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
9.5b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite362.0ms

Algorithm

rewrite-expression-head

Rules

874×	`*-un-lft-identity`
713×	`times-frac`
546×	`add-sqr-sqrt`
383×	`add-cube-cbrt`
300×	`prod-diff`
145×	`distribute-lft-out--`
134×	`distribute-lft-out`
80×	`difference-of-squares`
26×	`div-inv`
22×	`associate-/r*`
10×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/r/` `associate-/l/`
3×	`expm1-log1p-u` `pow1` `fma-neg` `div-sub` `log1p-expm1-u`
2×	`clear-num` `frac-2neg` `flip3--` `flip--`
1×	`sub-neg` `flip3-+` `diff-log` `associate-+l-` `flip-+` `associate--r-`

Counts

3 → 501

Calls

3 calls:

78.0ms	(/ (+ (- t z) 1.0) a)
178.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
58.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series440.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/ (+ (- t z) 1.0) a)
161.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
226.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify2.4s

Counts

510 → 510

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	661	420526
1	1936	391410
done	5001	363227

prune2.6s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes614.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	246
1	14	246
done	14	246

end0.0ms

sample1.4s

Algorithm

intervals

Results

543.0ms	8428×	body	80	valid
0.0ms	1×	body	640	valid