Details

sample235.0ms

Algorithm

intervals

Results

101.0ms	158×	body	1280	valid
43.0ms	111×	body	640	valid
41.0ms	146×	body	80	valid
16.0ms	64×	body	320	valid
4.0ms	28×	body	160	valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1554
4	262
3	86
2	39
1	18
0	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.3b

localize27.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
6.2b	(- (exp (- im)) (exp im))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
5×	`associate-r`
4×	`add-log-exp`
3×	`sub-neg` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `associate-*r/` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`diff-log` `associate-l` `*-commutative`

Counts

2 → 40

Calls

2 calls:

87.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
19.0ms	(- (exp (- im)) (exp im))

series183.0ms

Counts

2 → 6

Calls

2 calls:

114.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
69.0ms	(- (exp (- im)) (exp im))

simplify719.0ms

Counts

46 → 46

Iterations

Iter	Nodes
done	5001
2	1356
1	256
0	92

prune203.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (pow im 3) -1/3) (+ (* 1/60 (pow im 5)) (+ im im)))
0.1b	(* 1/60 (pow im 5))
0.1b	(* (* 0.5 (sin re)) (- (* (pow im 3) -1/3) (+ (* 1/60 (pow im 5)) (+ im im))))
0.1b	(* (pow im 3) -1/3)

rewrite262.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`add-exp-log`
16×	`associate-l`
13×	`add-cbrt-cube` `associate-r` `add-log-exp`
12×	`*-un-lft-identity` `add-cube-cbrt`
9×	`pow1` `prod-exp`
8×	`unpow-prod-down`
7×	`unswap-sqr`
5×	`cbrt-unprod`
4×	`cube-prod` `sqr-pow`
3×	`sum-log` `sub-neg` `diff-log` `pow-prod-down` `*-commutative`
2×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `flip3--` `pow-exp` `associate-*r/` `flip--`
1×	`cube-mult` `unpow3` `associate--r+`

Counts

4 → 95

Calls

4 calls:

64.0ms	(- (* (pow im 3) -1/3) (+ (* 1/60 (pow im 5)) (+ im im)))
18.0ms	(* 1/60 (pow im 5))
165.0ms	(* (* 0.5 (sin re)) (- (* (pow im 3) -1/3) (+ (* 1/60 (pow im 5)) (+ im im))))
11.0ms	(* (pow im 3) -1/3)

series508.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(- (* (pow im 3) -1/3) (+ (* 1/60 (pow im 5)) (+ im im)))
82.0ms	(* 1/60 (pow im 5))
273.0ms	(* (* 0.5 (sin re)) (- (* (pow im 3) -1/3) (+ (* 1/60 (pow im 5)) (+ im im))))
72.0ms	(* (pow im 3) -1/3)

simplify1.2s

Counts

107 → 107

Iterations

Iter	Nodes
done	5001
2	2328
1	480
0	183

prune569.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.3b

localize60.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt im)
0.6b	(cbrt im)
0.6b	(cbrt im)
0.7b	(pow (cbrt im) 5)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `pow1/3` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 54

Calls

4 calls:

1.0ms	(cbrt im)
1.0ms	(cbrt im)
1.0ms	(cbrt im)
5.0ms	(pow (cbrt im) 5)

series1.3s

Counts

4 → 12

Calls

4 calls:

283.0ms	(cbrt im)
286.0ms	(cbrt im)
294.0ms	(cbrt im)
394.0ms	(pow (cbrt im) 5)

simplify903.0ms

Counts

66 → 66

Iterations

Iter	Nodes
done	5000
3	1763
2	530
1	163
0	58

prune529.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.3b

localize70.0ms

Local error

Found 4 expressions with local error:

0.7b	(pow (cbrt im) 5)
22.3b	(cbrt (pow (cbrt im) 5))
22.3b	(cbrt (pow (cbrt im) 5))
22.3b	(cbrt (pow (cbrt im) 5))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

42×	`cbrt-prod`
24×	`unpow-prod-down`
16×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `pow1/3` `add-log-exp` `sqr-pow`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp`

Counts

4 → 75

Calls

4 calls:

3.0ms	(pow (cbrt im) 5)
2.0ms	(cbrt (pow (cbrt im) 5))
2.0ms	(cbrt (pow (cbrt im) 5))
3.0ms	(cbrt (pow (cbrt im) 5))

series1.9s

Counts

4 → 12

Calls

4 calls:

390.0ms	(pow (cbrt im) 5)
495.0ms	(cbrt (pow (cbrt im) 5))
474.0ms	(cbrt (pow (cbrt im) 5))
500.0ms	(cbrt (pow (cbrt im) 5))

simplify773.0ms

Counts

87 → 87

Iterations

Iter	Nodes
done	5001
3	1460
2	512
1	182
0	74

prune881.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.3b

regimes608.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	31
1	31
0	24

end0.0ms

sample10.0s

Algorithm

intervals

Results

5.1s	4811×	body	1280	valid
2.2s	3788×	body	640	valid
1.3s	1881×	body	320	valid
532.0ms	4494×	body	80	valid
228.0ms	905×	body	160	valid