Details

sample27.0ms

Algorithm

intervals

Results

8.0ms	227×	body	80	valid
2.0ms	16×	body	1280	valid
2.0ms	16×	body	640	valid
1.0ms	13×	body	320	valid
1.0ms	11×	body	160	valid

simplify8.1s

Counts

1 → 1

Iterations

Useful iterations: 4 (26.0ms)

Iter	Nodes	Cost
0	11	13
1	22	13
2	51	13
3	104	13
4	214	12
5	481	12
6	937	12
7	1715	12
8	2446	12
9	4989	12
done	5000	12

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.4b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- t z) (- a t))
3.3b	(fma (/ (- t z) (- a t)) y y)

rewrite14.0ms

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-exp-log` `add-cbrt-cube`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `fma-udef` `div-inv`

Counts

2 → 64

Calls

2 calls:

11.0ms	(/ (- t z) (- a t))
0.0ms	(fma (/ (- t z) (- a t)) y y)

series145.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ (- t z) (- a t))
100.0ms	(fma (/ (- t z) (- a t)) y y)

simplify915.0ms

Counts

70 → 70

Iterations

Useful iterations: done (913.0ms)

Iter	Nodes	Cost
0	110	876
1	253	848
2	665	800
3	2131	800
done	5000	798

prune216.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t z) (- a t))
1.4b	(* (/ (- t z) (- a t)) y)
2.8b	(+ (* (/ (- t z) (- a t)) y) y)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
72×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-l`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`expm1-log1p-u` `flip3--` `associate-r` `flip--` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `distribute-rgt-out` `fma-def` `frac-2neg` `distribute-lft1-in` `flip3-+` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 122

Calls

3 calls:

13.0ms	(/ (- t z) (- a t))
23.0ms	(* (/ (- t z) (- a t)) y)
8.0ms	(+ (* (/ (- t z) (- a t)) y) y)

series254.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(/ (- t z) (- a t))
97.0ms	(* (/ (- t z) (- a t)) y)
113.0ms	(+ (* (/ (- t z) (- a t)) y) y)

simplify603.0ms

Counts

131 → 131

Iterations

Useful iterations: done (599.0ms)

Iter	Nodes	Cost
0	170	1609
1	443	1533
2	1405	1450
done	5000	1443

prune388.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 4.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
0.3b	(* (- t z) (/ 1 (- a t)))
6.7b	(fma (* (- t z) (/ 1 (- a t))) y y)

rewrite36.0ms

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-l` `associate-/r*`
4×	`flip3--` `div-exp` `prod-exp` `associate-/r/` `flip--`
3×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `fma-udef` `inv-pow`

Counts

3 → 105

Calls

3 calls:

5.0ms	(/ 1 (- a t))
26.0ms	(* (- t z) (/ 1 (- a t)))
0.0ms	(fma (* (- t z) (/ 1 (- a t))) y y)

series187.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ 1 (- a t))
44.0ms	(* (- t z) (/ 1 (- a t)))
102.0ms	(fma (* (- t z) (/ 1 (- a t))) y y)

simplify2.3s

Counts

114 → 114

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	146	1243
1	335	1054
2	1226	910
3	3906	910
done	5000	909

prune318.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 4.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- t z) (- a t))
3.3b	(fma (/ (- t z) (- a t)) y y)

rewrite14.0ms

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-exp-log` `add-cbrt-cube`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `fma-udef` `div-inv`

Counts

2 → 64

Calls

2 calls:

11.0ms	(/ (- t z) (- a t))
0.0ms	(fma (/ (- t z) (- a t)) y y)

series146.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ (- t z) (- a t))
103.0ms	(fma (/ (- t z) (- a t)) y y)

simplify903.0ms

Counts

70 → 70

Iterations

Useful iterations: done (901.0ms)

Iter	Nodes	Cost
0	110	876
1	253	848
2	665	800
3	2131	800
done	5000	798

prune188.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 4.0b

regimes327.0ms

Accuracy

24.4% (2.7b remaining)

Error of 6.6b against oracle of 3.9b and baseline of 7.4b

bsearch98.0ms

Steps

Iters	Range		Point
8	7.822312363142053e-194	1.998992656231707e-189	1.5058790205676166e-193
8	-2.082585614692689e-175	-4.060639055801505e-178	-4.102838420059408e-177

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	19	39
1	25	28
done	25	28

end0.0ms

sample680.0ms

Algorithm

intervals

Results

253.0ms	7343×	body	80	valid
58.0ms	461×	body	640	valid
40.0ms	260×	body	1280	valid
37.0ms	407×	body	320	valid
15.0ms	247×	body	160	valid
2.0ms	11×	body	2560	valid