Details

sample64.0ms

Algorithm

intervals

Results

19.0ms

274×

body

valid

simplify7.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
19	4773
18	4446
17	4104
16	3769
15	3421
14	3040
13	2531
12	1678
11	893
10	514
9	408
8	343
7	275
6	198
5	139
4	94
3	58
2	33
1	17
0	10

prune59.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ t (- a z))
2.2b	(fma (- y z) (/ t (- a z)) x)

rewrite26.0ms

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:

22.0ms	(/ t (- a z))
1.0ms	(fma (- y z) (/ t (- a z)) x)

series289.0ms

Counts

2 → 6

Calls

2 calls:

90.0ms	(/ t (- a z))
199.0ms	(fma (- y z) (/ t (- a z)) x)

simplify2.3s

Counts

55 → 55

Iterations

Iter	Nodes
done	5006
3	1265
2	453
1	176
0	92

prune555.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ t (- a z))
11.3b	(* (- y z) (/ t (- a z)))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 87

Calls

2 calls:

25.0ms	(/ t (- a z))
100.0ms	(* (- y z) (/ t (- a z)))

series329.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(/ t (- a z))
258.0ms	(* (- y z) (/ t (- a z)))

simplify2.2s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	1213
1	325
0	134

prune874.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 4 expressions with local error:

4.9b	(cbrt (* (- y z) (/ t (- a z))))
11.3b	(* (- y z) (/ t (- a z)))
11.3b	(* (- y z) (/ t (- a z)))
11.3b	(* (- y z) (/ t (- a z)))

rewrite336.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-sqr-sqrt`
63×	`associate-r`
58×	`*-un-lft-identity`
48×	`times-frac`
34×	`add-cube-cbrt`
19×	`add-exp-log` `add-cbrt-cube`
15×	`associate-l`
12×	`distribute-lft-out--` `difference-of-squares`
11×	`flip3--` `flip--`
10×	`pow1`
8×	`frac-times` `associate-*l/`
6×	`prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
5×	`cbrt-div`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 160

Calls

4 calls:

30.0ms	(cbrt (* (- y z) (/ t (- a z))))
92.0ms	(* (- y z) (/ t (- a z)))
97.0ms	(* (- y z) (/ t (- a z)))
103.0ms	(* (- y z) (/ t (- a z)))

series1.4s

Counts

4 → 12

Calls

4 calls:

882.0ms	(cbrt (* (- y z) (/ t (- a z))))
165.0ms	(* (- y z) (/ t (- a z)))
161.0ms	(* (- y z) (/ t (- a z)))
166.0ms	(* (- y z) (/ t (- a z)))

simplify2.5s

Counts

172 → 172

Iterations

Iter	Nodes
done	5001
2	1277
1	436
0	183

prune2.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize72.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a z))
0.5b	(cbrt (- a z))
0.5b	(cbrt (- a z))
2.2b	(fma (- y z) (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z)))) x)

rewrite31.0ms

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

series1.3s

Counts

4 → 12

Calls

4 calls:

363.0ms	(cbrt (- a z))
379.0ms	(cbrt (- a z))
376.0ms	(cbrt (- a z))
183.0ms	(fma (- y z) (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z)))) x)

simplify2.7s

Counts

73 → 73

Iterations

Iter	Nodes
done	5003
3	1280
2	443
1	195
0	94

prune953.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes1.0s

Accuracy

86.9% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 3.0b

bsearch2.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	26
1	26
0	19

end0.0ms

sample1.5s

Algorithm

intervals

Results

703.0ms

8750×

body

valid