Details

sample36.0ms

Algorithm

intervals

Results

16.0ms

279×

body

valid

simplify560.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
2.7b	(* y (/ (- z t) (- a t)))

rewrite80.0ms

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:

23.0ms	(/ (- z t) (- a t))
51.0ms	(* y (/ (- z t) (- a t)))

series149.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(/ (- z t) (- a t))
79.0ms	(* y (/ (- z t) (- a t)))

simplify1.7s

Counts: 108 → 108

prune308.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t (- a t))
0.0b	(/ z (- a t))
2.7b	(* y (- (/ z (- a t)) (/ t (- a t))))

rewrite308.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 115

Calls

3 calls:

17.0ms	(/ t (- a t))
16.0ms	(/ z (- a t))
267.0ms	(* y (- (/ z (- a t)) (/ t (- a t))))

series210.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(/ t (- a t))
37.0ms	(/ z (- a t))
124.0ms	(* y (- (/ z (- a t)) (/ t (- a t))))

simplify563.0ms

Counts: 124 → 124

prune382.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
11.0b	(* (/ y (- a t)) (- z t))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 87

Calls

2 calls:

22.0ms	(/ y (- a t))
76.0ms	(* (/ y (- a t)) (- z t))

series242.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ y (- a t))
205.0ms	(* (/ y (- a t)) (- z t))

simplify487.0ms

Counts: 93 → 93

prune295.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
9.1b	(/ (* y (- z t)) (- a t))

rewrite76.0ms

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:

33.0ms	(* y (- z t))
41.0ms	(/ (* y (- z t)) (- a t))

series141.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(* y (- z t))
91.0ms	(/ (* y (- z t)) (- a t))

simplify488.0ms

Counts: 61 → 61

prune180.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes128.0ms

Accuracy

-731.7% (10.8b remaining)

Error of 10.9b against oracle of 0.0b and baseline of 1.3b

bsearch111.0ms

Steps

Iters	Range		Point
9	2.6072518425070918e-09	1.2364512583087228	5.370782751158474e-09
10	-1.3772673251171438e+17	-0.2633679361732773	-0.4573574999993685

simplify585.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

530.0ms

8733×

body

valid