Details

sample35.0ms

Algorithm

intervals

Results

14.0ms

291×

body

valid

simplify4.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
10	4206
9	1419
8	740
7	408
6	286
5	190
4	115
3	60
2	32
1	17
0	10

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 64

Calls

2 calls:

42.0ms	(/ (- z t) (- a t))
0.0ms	(fma y (/ (- z t) (- a t)) x)

series195.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(/ (- z t) (- a t))
125.0ms	(fma y (/ (- z t) (- a t)) x)

simplify2.4s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
3	4356
2	831
1	264
0	113

prune538.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 105

Calls

3 calls:

19.0ms	(/ 1 (- a t))
64.0ms	(* (- z t) (/ 1 (- a t)))
0.0ms	(fma y (* (- z t) (/ 1 (- a t))) x)

series276.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(/ 1 (- a t))
99.0ms	(* (- z t) (/ 1 (- a t)))
122.0ms	(fma y (* (- z t) (/ 1 (- a t))) x)

simplify5.1s

Counts

114 → 114

Iterations

Iter	Nodes
done	5000
2	2793
1	356
0	149

prune723.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))
1.0b	(fma y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t))) x)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `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:

6.0ms	(cbrt (- z t))
6.0ms	(cbrt (- z t))
6.0ms	(cbrt (- z t))
1.0ms	(fma y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t))) x)

series831.0ms

Counts

4 → 12

Calls

4 calls:

214.0ms	(cbrt (- z t))
239.0ms	(cbrt (- z t))
276.0ms	(cbrt (- z t))
102.0ms	(fma y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t))) x)

simplify1.2s

Counts

73 → 73

Iterations

Iter	Nodes
done	5001
3	1587
2	479
1	191
0	93

prune551.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (fma y (/ (- z t) (- a t)) x)) (cbrt (fma y (/ (- z t) (- a t)) x)))
1.0b	(fma y (/ (- z t) (- a t)) x)
1.0b	(fma y (/ (- z t) (- a t)) x)
1.0b	(fma y (/ (- z t) (- a t)) x)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`cbrt-prod`
12×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
6×	`pow1/3` `swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`fma-udef`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 72

Calls

4 calls:

16.0ms	(* (cbrt (fma y (/ (- z t) (- a t)) x)) (cbrt (fma y (/ (- z t) (- a t)) x)))
0.0ms	(fma y (/ (- z t) (- a t)) x)
0.0ms	(fma y (/ (- z t) (- a t)) x)
0.0ms	(fma y (/ (- z t) (- a t)) x)

series1.1s

Counts

4 → 12

Calls

4 calls:

697.0ms	(* (cbrt (fma y (/ (- z t) (- a t)) x)) (cbrt (fma y (/ (- z t) (- a t)) x)))
133.0ms	(fma y (/ (- z t) (- a t)) x)
104.0ms	(fma y (/ (- z t) (- a t)) x)
161.0ms	(fma y (/ (- z t) (- a t)) x)

simplify3.1s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
3	3362
2	648
1	196
0	91

prune719.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes738.0ms

Accuracy

0% (1.3b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample967.0ms

Algorithm

intervals

Results

541.0ms	8760×	body	80	valid
0.0ms	1×	body	320	valid