Details

sample52.0ms

Algorithm

intervals

Results

25.0ms

391×

body

valid

simplify239.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	251
6	251
5	248
4	206
3	140
2	67
1	26
0	13

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b	(+ (+ x (* y z)) (* t a))
4.4b	(* (* a z) b)

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-log-exp`
9×	`sum-log`
8×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`add-sqr-sqrt` `fma-def` `*-un-lft-identity` `add-cube-cbrt`
3×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
2×	`+-commutative` `associate-+l+` `flip3-+` `flip-+`
1×	`associate-l` `*-commutative`

Counts

3 → 57

Calls

3 calls:

117.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
32.0ms	(+ (+ x (* y z)) (* t a))
19.0ms	(* (* a z) b)

series261.0ms

Counts

3 → 9

Calls

3 calls:

152.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
62.0ms	(+ (+ x (* y z)) (* t a))
47.0ms	(* (* a z) b)

simplify1.6s

Counts

66 → 66

Iterations

Iter	Nodes
done	5001
2	1760
1	305
0	105

prune604.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma z y (* a t))
0.0b	(+ (+ x (fma z y (* a t))) (* (* a z) b))
0.0b	(+ x (fma z y (* a t)))
4.4b	(* (* a z) b)

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity` `add-log-exp`
9×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`add-sqr-sqrt` `fma-def` `add-cube-cbrt`
4×	`expm1-log1p-u` `sum-log` `log1p-expm1-u`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `flip3-+` `flip-+` `fma-udef` `distribute-lft-out`
1×	`associate-+l+` `associate-+r+` `associate-l` `*-commutative`

Counts

4 → 67

Calls

4 calls:

0.0ms	(fma z y (* a t))
34.0ms	(+ (+ x (fma z y (* a t))) (* (* a z) b))
5.0ms	(+ x (fma z y (* a t)))
15.0ms	(* (* a z) b)

series391.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(fma z y (* a t))
191.0ms	(+ (+ x (fma z y (* a t))) (* (* a z) b))
94.0ms	(+ x (fma z y (* a t)))
33.0ms	(* (* a z) b)

simplify1.8s

Counts

79 → 79

Iterations

Iter	Nodes
done	5002
2	1678
1	275
0	107

prune664.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

4.4b	(* (* a z) b)
14.1b	(cbrt (* (* a z) b))
14.1b	(cbrt (* (* a z) b))
14.1b	(cbrt (* (* a z) b))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-l` `*-commutative`

Counts

4 → 53

Calls

4 calls:

28.0ms	(* (* a z) b)
20.0ms	(cbrt (* (* a z) b))
20.0ms	(cbrt (* (* a z) b))
14.0ms	(cbrt (* (* a z) b))

series493.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (* a z) b)
149.0ms	(cbrt (* (* a z) b))
147.0ms	(cbrt (* (* a z) b))
140.0ms	(cbrt (* (* a z) b))

simplify1.1s

Counts

65 → 65

Iterations

Iter	Nodes
done	5000
2	920
1	193
0	80

prune588.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize96.0ms

Local error

Found 4 expressions with local error:

4.4b	(* (* a z) b)
10.5b	(cbrt (* a z))
14.1b	(cbrt (* (* a z) b))
14.1b	(cbrt (* (* a z) b))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-l` `*-commutative`

Counts

4 → 53

Calls

4 calls:

20.0ms	(* (* a z) b)
5.0ms	(cbrt (* a z))
17.0ms	(cbrt (* (* a z) b))
11.0ms	(cbrt (* (* a z) b))

series434.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (* a z) b)
95.0ms	(cbrt (* a z))
159.0ms	(cbrt (* (* a z) b))
143.0ms	(cbrt (* (* a z) b))

simplify1.1s

Counts

65 → 65

Iterations

Iter	Nodes
done	5000
2	1035
1	231
0	99

prune742.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes672.0ms

Accuracy

85.6% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.1b

bsearch143.0ms

Steps

Iters	Range		Point
7	4.333385386592588e-32	3.5618952358896474e-30	1.2706377048425532e-30
8	-3.236922250557709e+34	-5.90791172990774e+31	-3.0523095539212807e+34

simplify4.0ms

Iterations

Iter	Nodes
done	29
1	29
0	21

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.5s

11917×

body

valid