Details

sample53.0ms

Algorithm

intervals

Results

21.0ms

281×

body

valid

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
11	2304
10	835
9	508
8	366
7	295
6	258
5	156
4	95
3	55
2	34
1	20
0	10

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
3.1b	(* y (/ (- z t) (- a t)))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
26×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
9×	`add-cbrt-cube` `add-exp-log`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-sub` `pow-prod-down` `associate-r/` `-commutative`

Counts

2 → 102

Calls

2 calls:

19.0ms	(/ (- z t) (- a t))
63.0ms	(* y (/ (- z t) (- a t)))

series148.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(/ (- z t) (- a t))
94.0ms	(* y (/ (- z t) (- a t)))

simplify739.0ms

Counts

108 → 108

Iterations

Iter	Nodes
done	5000
2	1516
1	374
0	138

prune587.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))
4.6b	(cbrt (/ (- z t) (- a t)))
4.6b	(cbrt (/ (- z t) (- a t)))
4.6b	(cbrt (/ (- z t) (- a t)))

rewrite192.0ms

Algorithm

rewrite-expression-head

Rules

333×	`*-un-lft-identity`
277×	`cbrt-prod`
273×	`add-sqr-sqrt`
229×	`times-frac`
106×	`distribute-lft-out--`
93×	`add-cube-cbrt`
78×	`difference-of-squares`
58×	`swap-sqr`
34×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3--` `div-inv` `flip--`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 276

Calls

4 calls:

125.0ms	(* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))
7.0ms	(cbrt (/ (- z t) (- a t)))
8.0ms	(cbrt (/ (- z t) (- a t)))
14.0ms	(cbrt (/ (- z t) (- a t)))

series1.8s

Counts

4 → 12

Calls

4 calls:

434.0ms	(* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))
396.0ms	(cbrt (/ (- z t) (- a t)))
454.0ms	(cbrt (/ (- z t) (- a t)))
466.0ms	(cbrt (/ (- z t) (- a t)))

simplify1.4s

Counts

288 → 288

Iterations

Iter	Nodes
done	5001
2	2030
1	572
0	291

prune1.6s

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 y)
0.6b	(cbrt y)
0.8b	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ (- z t) (- a t))))
2.6b	(* (cbrt y) (/ (- z t) (- a t)))

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
32×	`associate-r`
30×	`add-exp-log`
27×	`times-frac`
19×	`add-cube-cbrt`
18×	`pow1` `add-cbrt-cube`
15×	`prod-exp` `cbrt-unprod`
11×	`cbrt-prod`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`pow-prod-down`
7×	`associate-l`
4×	`add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp` `associate-*r/`
2×	`pow1/3` `associate-/r/` `*-commutative`
1×	`flip3--` `div-inv` `flip--`

Counts

4 → 104

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
102.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ (- z t) (- a t))))
68.0ms	(* (cbrt y) (/ (- z t) (- a t)))

series1.1s

Counts

4 → 12

Calls

4 calls:

329.0ms	(cbrt y)
350.0ms	(cbrt y)
121.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ (- z t) (- a t))))
275.0ms	(* (cbrt y) (/ (- z t) (- a t)))

simplify2.2s

Counts

116 → 116

Iterations

Iter	Nodes
done	5001
2	2639
1	415
0	149

prune938.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
10.7b	(/ (* y (- z t)) (- a t))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
9×	`add-cbrt-cube` `add-exp-log`
6×	`add-cube-cbrt`
5×	`associate-/r` `times-frac` `associate-r*`
4×	`pow1` `associate-*r/`
3×	`flip3--` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `add-log-exp` `associate-/l/`
1×	`clear-num` `frac-2neg` `pow-prod-down` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 55

Calls

2 calls:

18.0ms	(* y (- z t))
30.0ms	(/ (* y (- z t)) (- a t))

series146.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(* y (- z t))
98.0ms	(/ (* y (- z t)) (- a t))

simplify721.0ms

Counts

61 → 61

Iterations

Iter	Nodes
done	5000
2	1114
1	280
0	105

prune313.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes680.0ms

Accuracy

4.4% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.3b

bsearch177.0ms

Steps

Iters	Range		Point
9	3.9919818140670714e-104	1.7380027579657155e-95	5.3229241134025875e-104
10	-2.019891248970012e-169	-3.1869536573496447e-180	-1.1546844444676268e-171

simplify5.0ms

Iterations

Iter	Nodes
done	26
1	26
0	19

end0.0ms

sample1.1s

Algorithm

intervals

Results

603.0ms

8713×

body

valid