Details

sample227.0ms

Algorithm

intervals

Results

97.0ms	621×	body	80	nan
85.0ms	600×	body	80	valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	1585
6	613
5	332
4	198
3	95
2	42
1	26
0	15

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
0.0b	(/ (* t t) 2.0)
0.0b	(exp (/ (* t t) 2.0))
0.2b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-cbrt-cube`
14×	`add-exp-log`
13×	`add-sqr-sqrt`
11×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
7×	`exp-prod` `associate-r`
6×	`times-frac` `associate-*l/`
5×	`prod-exp` `cbrt-unprod` `add-log-exp`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r*`
2×	`cbrt-undiv` `flip3--` `div-exp` `*-commutative` `div-inv` `flip--`
1×	`clear-num` `frac-2neg` `sqrt-prod` `associate-/l*` `unswap-sqr` `rem-exp-log`

Counts

4 → 89

Calls

4 calls:

84.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
14.0ms	(/ (* t t) 2.0)
6.0ms	(exp (/ (* t t) 2.0))
41.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series405.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
44.0ms	(/ (* t t) 2.0)
33.0ms	(exp (/ (* t t) 2.0))
156.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.4s

Counts

101 → 101

Iterations

Iter	Nodes
done	5009
2	1678
1	498
0	186

prune671.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
0.0b	(pow (exp t) (/ t 2.0))
0.2b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
13×	`pow-unpow`
11×	`associate-r`
10×	`add-cbrt-cube` `prod-exp`
9×	`times-frac`
6×	`pow1` `unpow-prod-down` `associate-*l/`
4×	`pow-pow` `associate-l` `cbrt-unprod`
3×	`expm1-log1p-u` `pow-to-exp` `exp-prod` `pow-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `*-commutative` `flip--` `sqr-pow`
1×	`pow-prod-down` `sqrt-prod` `div-inv` `unswap-sqr`

Counts

3 → 86

Calls

3 calls:

131.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
7.0ms	(pow (exp t) (/ t 2.0))
44.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series428.0ms

Counts

3 → 9

Calls

3 calls:

214.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
76.0ms	(pow (exp t) (/ t 2.0))
138.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.5s

Counts

95 → 95

Iterations

Iter	Nodes
done	5000
2	1652
1	552
0	194

prune591.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp t) (/ t 2.0))
0.0b	(pow (exp t) (/ t 2.0))
0.0b	(* (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (pow (exp t) (/ t 2.0)))) (sqrt (pow (exp t) (/ t 2.0))))
0.2b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite387.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
27×	`*-un-lft-identity` `add-cube-cbrt`
26×	`pow-unpow`
18×	`times-frac`
17×	`pow1`
15×	`add-cbrt-cube` `add-exp-log`
14×	`associate-r`
9×	`unpow-prod-down`
8×	`pow-pow` `associate-*l/` `sqrt-prod`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`exp-prod`
4×	`expm1-log1p-u` `associate-l` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`sqr-pow`
2×	`pow-to-exp` `flip3--` `pow-exp` `*-commutative` `div-inv` `flip--`
1×	`unswap-sqr`

Counts

4 → 123

Calls

4 calls:

4.0ms	(pow (exp t) (/ t 2.0))
7.0ms	(pow (exp t) (/ t 2.0))
319.0ms	(* (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (pow (exp t) (/ t 2.0)))) (sqrt (pow (exp t) (/ t 2.0))))
55.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series505.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(pow (exp t) (/ t 2.0))
66.0ms	(pow (exp t) (/ t 2.0))
226.0ms	(* (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (pow (exp t) (/ t 2.0)))) (sqrt (pow (exp t) (/ t 2.0))))
130.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.7s

Counts

135 → 135

Iterations

Iter	Nodes
done	5000
2	1997
1	608
0	215

prune999.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt t) (cbrt t))
0.7b	(cbrt t)
0.7b	(cbrt t)
0.7b	(cbrt t)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

14.0ms	(* (cbrt t) (cbrt t))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.0s

Counts

4 → 12

Calls

4 calls:

304.0ms	(* (cbrt t) (cbrt t))
239.0ms	(cbrt t)
250.0ms	(cbrt t)
229.0ms	(cbrt t)

simplify3.2s

Counts

97 → 97

Iterations

Iter	Nodes
done	5003
4	4334
3	1106
2	364
1	141
0	67

prune779.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes1.2s

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	29
1	29
0	23

end0.0ms

sample7.0s

Algorithm

intervals

Results

3.1s	17900×	body	80	valid
2.5s	17614×	body	80	nan