Details

sample34.0ms

Algorithm

intervals

Results

10.0ms	258×	body	80	valid
6.0ms	13×	body	640	valid
1.0ms	7×	body	1280	valid
1.0ms	9×	body	320	valid
0.0ms	3×	body	160	valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	3818
5	978
4	326
3	116
2	45
1	20
0	11

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.5b

localize30.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
1.5b	(fma (/ (- y z) (- a z)) (- t x) x)

rewrite26.0ms

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/` `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 → 64

Calls

2 calls:

23.0ms	(/ (- y z) (- a z))
1.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

series266.0ms

Counts

2 → 6

Calls

2 calls:

87.0ms	(/ (- y z) (- a z))
179.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

simplify1.8s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
3	4622
2	860
1	271
0	116

prune433.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.3b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a z))
0.2b	(* (- y z) (/ 1 (- a z)))
2.2b	(fma (* (- y z) (/ 1 (- a z))) (- t x) x)

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
32×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
16×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`associate-/r` `associate-l*`
4×	`flip3--` `div-exp` `prod-exp` `associate-/r/` `flip--`
3×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`frac-times` `cbrt-undiv` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `fma-udef` `pow-flip` `inv-pow`

Counts

3 → 105

Calls

3 calls:

13.0ms	(/ 1 (- a z))
53.0ms	(* (- y z) (/ 1 (- a z)))
1.0ms	(fma (* (- y z) (/ 1 (- a z))) (- t x) x)

series281.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(/ 1 (- a z))
65.0ms	(* (- y z) (/ 1 (- a z)))
176.0ms	(fma (* (- y z) (/ 1 (- a z))) (- t x) x)

simplify3.6s

Counts

114 → 114

Iterations

Iter	Nodes
done	5001
2	2819
1	363
0	152

prune736.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.3b

localize30.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
1.5b	(fma (/ (- y z) (- a z)) (- t x) x)

rewrite46.0ms

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/` `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 → 64

Calls

2 calls:

42.0ms	(/ (- y z) (- a z))
1.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

series272.0ms

Counts

2 → 6

Calls

2 calls:

82.0ms	(/ (- y z) (- a z))
190.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

simplify2.0s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
3	4622
2	860
1	271
0	116

prune490.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.3b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- y z))
0.7b	(+ (/ (- t x) (/ (- a z) (- y z))) x)
3.3b	(/ (- t x) (/ (- a z) (- y z)))

rewrite347.0ms

Algorithm

rewrite-expression-head

Rules

610×	`times-frac`
572×	`*-un-lft-identity`
570×	`add-sqr-sqrt`
200×	`add-cube-cbrt`
185×	`distribute-lft-out--` `difference-of-squares`
160×	`fma-def`
36×	`associate-/r*`
26×	`associate-/r/`
14×	`flip3--` `div-inv` `flip--`
10×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`expm1-log1p-u` `pow1` `div-sub` `log1p-expm1-u`
2×	`clear-num` `frac-2neg`
1×	`+-commutative` `sum-log` `flip3-+` `associate-+l-` `flip-+` `distribute-lft-out`

Counts

3 → 440

Calls

3 calls:

21.0ms	(/ (- a z) (- y z))
248.0ms	(+ (/ (- t x) (/ (- a z) (- y z))) x)
37.0ms	(/ (- t x) (/ (- a z) (- y z)))

series708.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(/ (- a z) (- y z))
282.0ms	(+ (/ (- t x) (/ (- a z) (- y z))) x)
348.0ms	(/ (- t x) (/ (- a z) (- y z)))

simplify563.0ms

Counts

449 → 449

Iterations

Iter	Nodes
done	5001
1	1165
0	360

prune2.5s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.2b

regimes640.0ms

Accuracy

13.2% (6.9b remaining)

Error of 10.6b against oracle of 3.6b and baseline of 11.6b

bsearch56.0ms

Steps

Iters	Range		Point
6	2.9167653939511533e+225	2.5140333357960115e+226	9.405156079127402e+225

simplify2.0ms

Iterations

Iter	Nodes
done	22
1	22
0	19

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.1s	7794×	body	80	valid
145.0ms	395×	body	320	valid
134.0ms	489×	body	640	valid
110.0ms	286×	body	1280	valid
26.0ms	248×	body	160	valid
5.0ms	16×	body	2560	valid