Details

sample51.0ms

Algorithm

intervals

Results

26.0ms

277×

body

valid

simplify3.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
11	3547
10	1241
9	709
8	446
7	358
6	299
5	180
4	105
3	60
2	37
1	21
0	10

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
1.3b	(* y (/ (- z t) (- z a)))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-sqr-sqrt`
72×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
28×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`expm1-log1p-u` `fma-def` `flip3--` `associate-l` `log1p-expm1-u` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `flip-+`

Counts

3 → 122

Calls

3 calls:

6.0ms	(+ x (* y (/ (- z t) (- z a))))
35.0ms	(/ (- z t) (- z a))
45.0ms	(* y (/ (- z t) (- z a)))

series263.0ms

Counts

3 → 9

Calls

3 calls:

111.0ms	(+ x (* y (/ (- z t) (- z a))))
57.0ms	(/ (- z t) (- z a))
94.0ms	(* y (/ (- z t) (- z a)))

simplify1.5s

Counts

131 → 131

Iterations

Iter	Nodes
done	5002
2	1822
1	460
0	168

prune826.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- z a))
2.5b	(fma (- z t) (/ y (- z a)) x)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

9.0ms	(/ y (- z a))
5.0ms	(fma (- z t) (/ y (- z a)) x)

series164.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(/ y (- z a))
116.0ms	(fma (- z t) (/ y (- z a)) x)

simplify1.2s

Counts

55 → 55

Iterations

Iter	Nodes
done	5000
3	1492
2	448
1	177
0	92

prune410.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
7.0b	(* (* (* y (cbrt (- z t))) (cbrt (- z t))) (/ (cbrt (- z t)) (- z a)))

rewrite278.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt` `*-un-lft-identity`
46×	`associate-r`
40×	`cbrt-prod` `times-frac`
30×	`cbrt-div`
26×	`add-cube-cbrt`
25×	`add-exp-log`
17×	`associate-*r/`
16×	`frac-times` `flip3--` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`
13×	`pow1`
12×	`associate-*l/` `prod-exp` `cbrt-unprod`
6×	`pow-prod-down`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
2×	`associate-/r/`
1×	`associate-l` `*-commutative` `div-inv`

Counts

4 → 140

Calls

4 calls:

7.0ms	(cbrt (- z t))
6.0ms	(cbrt (- z t))
7.0ms	(cbrt (- z t))
250.0ms	(* (* (* y (cbrt (- z t))) (cbrt (- z t))) (/ (cbrt (- z t)) (- z a)))

series951.0ms

Counts

4 → 12

Calls

4 calls:

311.0ms	(cbrt (- z t))
248.0ms	(cbrt (- z t))
299.0ms	(cbrt (- z t))
92.0ms	(* (* (* y (cbrt (- z t))) (cbrt (- z t))) (/ (cbrt (- z t)) (- z a)))

simplify3.5s

Counts

152 → 152

Iterations

Iter	Nodes
done	5000
2	4499
1	702
0	237

prune1.2s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize41.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- z a)))
0.0b	(* y (- z t))
9.9b	(/ (* y (- z t)) (- z a))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r` `times-frac` `associate-r*` `add-log-exp`
4×	`associate-*r/`
3×	`expm1-log1p-u` `fma-def` `flip3--` `associate-l` `log1p-expm1-u` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `sub-neg` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `pow-prod-down` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 94

Calls

3 calls:

28.0ms	(+ x (/ (* y (- z t)) (- z a)))
19.0ms	(* y (- z t))
36.0ms	(/ (* y (- z t)) (- z a))

series358.0ms

Counts

3 → 9

Calls

3 calls:

159.0ms	(+ x (/ (* y (- z t)) (- z a)))
49.0ms	(* y (- z t))
150.0ms	(/ (* y (- z t)) (- z a))

simplify1.6s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
2	1994
1	475
0	182

prune512.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes569.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample1.0s

Algorithm

intervals

Results

538.0ms	8709×	body	80	valid
0.0ms	1×	body	640	valid