Details

sample28.0ms

Algorithm

intervals

Results

11.0ms

278×

body

valid

simplify34.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
2.5b	(* y (/ (- z t) (- z a)))

rewrite361.0ms

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:

307.0ms	(/ (- z t) (- z a))
50.0ms	(* y (/ (- z t) (- z a)))

series134.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(/ (- z t) (- z a))
78.0ms	(* y (/ (- z t) (- z a)))

simplify70.0ms

Counts: 108 → 108

prune359.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z a))
0.2b	(* (- z t) (/ 1 (- z a)))
2.5b	(* y (* (- z t) (/ 1 (- z a))))

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
32×	`times-frac`
31×	`add-exp-log`
24×	`add-cube-cbrt`
22×	`associate-r`
19×	`add-cbrt-cube`
13×	`prod-exp`
11×	`pow1`
8×	`associate-r/` `associate-l*` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`flip3--` `div-exp` `flip--`
5×	`associate-/r*`
4×	`frac-times` `pow-prod-down` `associate-*l/` `associate-/r/`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`un-div-inv` `*-commutative` `div-inv`
1×	`pow-flip` `frac-2neg` `clear-num` `inv-pow`

Counts

3 → 119

Calls

3 calls:

14.0ms	(/ 1 (- z a))
61.0ms	(* (- z t) (/ 1 (- z a)))
96.0ms	(* y (* (- z t) (/ 1 (- z a))))

series174.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ 1 (- z a))
61.0ms	(* (- z t) (/ 1 (- z a)))
72.0ms	(* y (* (- z t) (/ 1 (- z a))))

simplify37.0ms

Counts: 128 → 128

prune386.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite80.0ms

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-l` `associate-/r*`
4×	`pow1` `associate-*l/`
3×	`flip3--` `associate-r` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `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 → 51

Calls

2 calls:

40.0ms	(* (- z t) y)
37.0ms	(/ (* (- z t) y) (- z a))

series136.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(* (- z t) y)
87.0ms	(/ (* (- z t) y) (- z a))

simplify37.0ms

Counts: 57 → 57

prune183.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 83

Calls

2 calls:

17.0ms	(/ y (- z a))
76.0ms	(* (- z t) (/ y (- z a)))

series124.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/ y (- z a))
81.0ms	(* (- z t) (/ y (- z a)))

simplify39.0ms

Counts: 89 → 89

prune278.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes217.0ms

Accuracy

-84.2% (2.7b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 1.5b

bsearch105.0ms

Steps

Iters	Range		Point
8	5.479897258819267e-46	2.066802385698259e-41	1.9196722393854428e-44
9	-2.4955120319962723e+20	-19477658836576.555	-158224265619362.66

simplify399.0ms

end0.0ms

sample1.1s

Algorithm

intervals

Results

509.0ms	8699×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid