Details

sample29.0ms

Algorithm

intervals

Results

12.0ms

285×

body

valid

simplify33.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
2.3b	(* y (/ (- z t) (- a t)))

rewrite75.0ms

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-exp-log` `add-cbrt-cube`
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` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 102

Calls

2 calls:

25.0ms	(/ (- z t) (- a t))
45.0ms	(* y (/ (- z t) (- a t)))

series126.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(/ (- z t) (- a t))
70.0ms	(* y (/ (- z t) (- a t)))

simplify38.0ms

Counts: 108 → 108

prune250.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))
4.2b	(cbrt (/ (- z t) (- a t)))
4.2b	(cbrt (/ (- z t) (- a t)))
4.2b	(cbrt (/ (- z t) (- a t)))

rewrite159.0ms

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--` `flip--` `div-inv`
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-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 276

Calls

4 calls:

110.0ms	(* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))
9.0ms	(cbrt (/ (- z t) (- a t)))
9.0ms	(cbrt (/ (- z t) (- a t)))
11.0ms	(cbrt (/ (- z t) (- a t)))

series1.3s

Counts

4 → 12

Calls

4 calls:

297.0ms	(* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))
329.0ms	(cbrt (/ (- z t) (- a t)))
333.0ms	(cbrt (/ (- z t) (- a t)))
339.0ms	(cbrt (/ (- z t) (- a t)))

simplify78.0ms

Counts: 288 → 288

prune916.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

4.2b	(cbrt (/ (- z t) (- a t)))
4.2b	(cbrt (/ (- z t) (- a t)))
4.2b	(cbrt (/ (- z t) (- a t)))
4.2b	(cbrt (/ (- z t) (- a t)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

128×	`add-sqr-sqrt` `*-un-lft-identity`
124×	`cbrt-prod`
100×	`times-frac`
48×	`add-cube-cbrt`
40×	`distribute-lft-out--` `difference-of-squares`
8×	`associate-/r/`
4×	`pow1` `add-exp-log` `cbrt-div` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `div-inv` `add-log-exp`

Counts

4 → 160

Calls

4 calls:

10.0ms	(cbrt (/ (- z t) (- a t)))
10.0ms	(cbrt (/ (- z t) (- a t)))
16.0ms	(cbrt (/ (- z t) (- a t)))
10.0ms	(cbrt (/ (- z t) (- a t)))

series1.4s

Counts

4 → 12

Calls

4 calls:

339.0ms	(cbrt (/ (- z t) (- a t)))
339.0ms	(cbrt (/ (- z t) (- a t)))
351.0ms	(cbrt (/ (- z t) (- a t)))
339.0ms	(cbrt (/ (- z t) (- a t)))

simplify64.0ms

Counts: 172 → 172

prune767.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
10.3b	(/ (* y (- z t)) (- a t))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 55

Calls

2 calls:

21.0ms	(* y (- z t))
30.0ms	(/ (* y (- z t)) (- a t))

series116.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(* y (- z t))
77.0ms	(/ (* y (- z t)) (- a t))

simplify34.0ms

Counts: 61 → 61

prune126.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes488.0ms

Accuracy

58.8% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.5b

bsearch64.0ms

Steps

Iters	Range		Point
7	5.454685093352575e-190	1.1661413280990733e-188	3.5689840116276912e-189
6	-9.273070117118477e-32	-8.254621249267111e-33	-4.3053147673961933e-32

simplify1.0ms

end0.0ms

sample918.0ms

Algorithm

intervals

Results

407.0ms	8723×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid