Details

sample38.0ms

Algorithm

intervals

Results

15.0ms

327×

body

valid

simplify2.0s

Counts

1 → 1

Iterations

Useful iterations: 3 (14.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	28	9
3	51	8
4	89	8
5	156	8
6	353	8
7	1005	8
8	3217	8
done	5000	8

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y x) t)
6.0b	(fma (/ (- y x) t) z x)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

25.0ms	(/ (- y x) t)
0.0ms	(fma (/ (- y x) t) z x)

series89.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ (- y x) t)
53.0ms	(fma (/ (- y x) t) z x)

simplify2.2s

Counts

56 → 56

Iterations

Useful iterations: 3 (626.0ms)

Iter	Nodes	Cost
0	93	570
1	199	548
2	635	514
3	3726	509
done	5001	509

prune154.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (- y x) (/ 1 t))
6.0b	(fma (* (- y x) (/ 1 t)) z x)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
13×	`-un-lft-identity` `associate-r*`
11×	`add-exp-log` `times-frac`
10×	`add-cube-cbrt`
7×	`add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `prod-exp`
3×	`unswap-sqr`
2×	`expm1-log1p-u` `frac-times` `flip3--` `div-exp` `associate-*l/` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `rec-exp` `1-exp` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `fma-udef` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 54

Calls

2 calls:

31.0ms	(* (- y x) (/ 1 t))
0.0ms	(fma (* (- y x) (/ 1 t)) z x)

series77.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* (- y x) (/ 1 t))
46.0ms	(fma (* (- y x) (/ 1 t)) z x)

simplify3.3s

Counts

60 → 60

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	118	668
1	290	611
2	1929	474
done	5000	461

prune165.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

6.0b	(fma (* (* (cbrt (/ (- y x) t)) (cbrt (/ (- y x) t))) (cbrt (/ (- y x) t))) z x)
8.0b	(cbrt (/ (- y x) t))
8.0b	(cbrt (/ (- y x) t))
8.0b	(cbrt (/ (- y x) t))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

57×	`cbrt-prod`
49×	`add-sqr-sqrt` `*-un-lft-identity`
45×	`times-frac`
31×	`add-cube-cbrt`
9×	`distribute-lft-out--` `difference-of-squares`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `pow1/3` `div-inv`
1×	`fma-udef`

Counts

4 → 100

Calls

4 calls:

0.0ms	(fma (* (* (cbrt (/ (- y x) t)) (cbrt (/ (- y x) t))) (cbrt (/ (- y x) t))) z x)
6.0ms	(cbrt (/ (- y x) t))
6.0ms	(cbrt (/ (- y x) t))
6.0ms	(cbrt (/ (- y x) t))

series713.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(fma (* (* (cbrt (/ (- y x) t)) (cbrt (/ (- y x) t))) (cbrt (/ (- y x) t))) z x)
197.0ms	(cbrt (/ (- y x) t))
204.0ms	(cbrt (/ (- y x) t))
224.0ms	(cbrt (/ (- y x) t))

simplify1.2s

Counts

112 → 112

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	139	1735
1	255	1681
2	539	1461
3	1671	1398
done	5001	1332

prune649.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ 1 t))
0.6b	(cbrt (/ 1 t))
0.6b	(cbrt (/ 1 t))
6.0b	(fma (* (* (* (cbrt (/ 1 t)) (cbrt (/ 1 t))) (- y x)) (cbrt (/ 1 t))) z x)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
27×	`times-frac`
25×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `pow1/3` `div-inv`
1×	`fma-udef`

Counts

4 → 82

Calls

4 calls:

5.0ms	(cbrt (/ 1 t))
5.0ms	(cbrt (/ 1 t))
5.0ms	(cbrt (/ 1 t))
1.0ms	(fma (* (* (* (cbrt (/ 1 t)) (cbrt (/ 1 t))) (- y x)) (cbrt (/ 1 t))) z x)

series971.0ms

Counts

4 → 12

Calls

4 calls:

313.0ms	(cbrt (/ 1 t))
251.0ms	(cbrt (/ 1 t))
313.0ms	(cbrt (/ 1 t))
94.0ms	(fma (* (* (* (cbrt (/ 1 t)) (cbrt (/ 1 t))) (- y x)) (cbrt (/ 1 t))) z x)

simplify899.0ms

Counts

94 → 94

Iterations

Useful iterations: done (896.0ms)

Iter	Nodes	Cost
0	85	1004
1	139	899
2	341	733
3	1402	689
done	5001	683

prune309.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes233.0ms

Accuracy

4.8% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 2.0b

bsearch138.0ms

Steps

Iters	Range		Point
11	4.696249622730591e-275	4.075458708056599e-250	1.163685728587468e-252
7	-3.3402553218442287e-108	-5.618871566353063e-110	-8.19725118199245e-110

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	17	35
1	24	27
done	24	27

end0.0ms

sample1.7s

Algorithm

intervals

Results

973.0ms

10684×

body

valid