Details

sample52.0ms

Algorithm

intervals

Results

28.0ms	249×	body	80	valid
4.0ms	16×	body	640	valid
2.0ms	11×	body	320	valid
2.0ms	7×	body	1280	valid
2.0ms	13×	body	160	valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
6	1890
5	788
4	299
3	108
2	43
1	20
0	11

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.3b

localize33.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
4.4b	(fma (/ (- z t) (- a t)) (- y x) x)

rewrite41.0ms

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/` `insert-posit16` `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 → 66

Calls

2 calls:

38.0ms	(/ (- z t) (- a t))
1.0ms	(fma (/ (- z t) (- a t)) (- y x) x)

series277.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(/ (- z t) (- a t))
209.0ms	(fma (/ (- z t) (- a t)) (- y x) x)

simplify580.0ms

Counts

72 → 72

Iterations

Iter	Nodes
done	2000
2	680
1	274
0	118

prune433.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.6b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a t))
0.6b	(cbrt (- a t))
0.6b	(cbrt (- a t))
10.0b	(fma (/ (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t))) (- y x) x)

rewrite15.0ms

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` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`fma-udef`

Counts

4 → 65

Calls

4 calls:

6.0ms	(cbrt (- a t))
5.0ms	(cbrt (- a t))
3.0ms	(cbrt (- a t))
0.0ms	(fma (/ (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t))) (- y x) x)

series1.3s

Counts

4 → 12

Calls

4 calls:

217.0ms	(cbrt (- a t))
613.0ms	(cbrt (- a t))
206.0ms	(cbrt (- a t))
216.0ms	(fma (/ (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t))) (- y x) x)

simplify799.0ms

Counts

77 → 77

Iterations

Iter	Nodes
done	2002
3	1099
2	438
1	203
0	98

prune598.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 2.6b

localize40.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a t))
0.6b	(cbrt (- a t))
0.6b	(cbrt (- a t))
9.7b	(fma (* (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t)))) (- y x) x)

rewrite15.0ms

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` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`fma-udef`

Counts

4 → 65

Calls

4 calls:

8.0ms	(cbrt (- a t))
3.0ms	(cbrt (- a t))
3.0ms	(cbrt (- a t))
0.0ms	(fma (* (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t)))) (- y x) x)

series928.0ms

Counts

4 → 12

Calls

4 calls:

263.0ms	(cbrt (- a t))
229.0ms	(cbrt (- a t))
244.0ms	(cbrt (- a t))
192.0ms	(fma (* (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t)))) (- y x) x)

simplify950.0ms

Counts

77 → 77

Iterations

Iter	Nodes
done	2008
3	1425
2	467
1	208
0	99

prune591.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 2.6b

localize56.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))
9.5b	(fma (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t))) (- y x) x)

rewrite17.0ms

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` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`fma-udef`

Counts

4 → 65

Calls

4 calls:

4.0ms	(cbrt (- z t))
6.0ms	(cbrt (- z t))
6.0ms	(cbrt (- z t))
1.0ms	(fma (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t))) (- y x) x)

series804.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(cbrt (- z t))
194.0ms	(cbrt (- z t))
214.0ms	(cbrt (- z t))
189.0ms	(fma (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t))) (- y x) x)

simplify778.0ms

Counts

77 → 77

Iterations

Iter	Nodes
done	2004
3	1149
2	438
1	201
0	98

prune522.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 2.6b

regimes571.0ms

Accuracy

26.6% (5.9b remaining)

Error of 9.5b against oracle of 3.7b and baseline of 11.6b

bsearch96.0ms

Steps

Iters	Range		Point
7	1.565257992401473e+188	6.874219732804884e+189	4.177099727216109e+188
1	-1.483726120128394e+138	-1.4227775114758595e+138	-1.4684889679652604e+138

simplify7.0ms

Iterations

Iter	Nodes
done	24
1	24
0	21

end0.0ms

sample1.9s

Algorithm

intervals

Results

939.0ms	7784×	body	80	valid
333.0ms	489×	body	640	valid
117.0ms	259×	body	1280	valid
114.0ms	419×	body	320	valid
49.0ms	268×	body	160	valid
8.0ms	14×	body	2560	valid