Details

sample29.0ms

Algorithm

intervals

Results

11.0ms	280×	body	80	valid
0.0ms	1×	body	160	valid

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: 3 (12.0ms)

Iter	Nodes	Cost
0	10	11
1	18	11
2	33	11
3	61	10
4	112	10
5	157	10
6	207	10
7	251	10
8	302	10
9	387	10
10	485	10
11	553	10
12	617	10
13	645	10
done	645	10

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- z a))
4.5b	(fma (/ y (- z a)) (- z t) x)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/r*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `fma-udef` `div-inv`

Counts

2 → 49

Calls

2 calls:

12.0ms	(/ y (- z a))
0.0ms	(fma (/ y (- z a)) (- z t) x)

series182.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ y (- z a))
143.0ms	(fma (/ y (- z a)) (- z t) x)

simplify2.3s

Counts

55 → 55

Iterations

Useful iterations: 4 (909.0ms)

Iter	Nodes	Cost
0	92	552
1	171	535
2	369	495
3	790	495
4	2344	494
done	5000	494

prune228.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- z a))
0.0b	(+ (* (/ y (- z a)) (- z t)) x)
9.0b	(* (/ y (- z a)) (- z t))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 145

Calls

3 calls:

15.0ms	(/ y (- z a))
45.0ms	(+ (* (/ y (- z a)) (- z t)) x)
71.0ms	(* (/ y (- z a)) (- z t))

series407.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(/ y (- z a))
158.0ms	(+ (* (/ y (- z a)) (- z t)) x)
191.0ms	(* (/ y (- z a)) (- z t))

simplify1.5s

Counts

154 → 154

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	226	2339
1	558	1987
2	1538	1783
done	5000	1751

prune596.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* y (/ (- z t) (- z a))) x)
0.0b	(/ (- z t) (- z a))
2.1b	(* y (/ (- z t) (- z a)))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
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-l` `flip--` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `fma-def` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 120

Calls

3 calls:

27.0ms	(+ (* y (/ (- z t) (- z a))) x)
36.0ms	(/ (- z t) (- z a))
68.0ms	(* y (/ (- z t) (- z a)))

series337.0ms

Counts

3 → 9

Calls

3 calls:

130.0ms	(+ (* y (/ (- z t) (- z a))) x)
94.0ms	(/ (- z t) (- z a))
112.0ms	(* y (/ (- z t) (- z a)))

simplify2.5s

Counts

129 → 129

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	168	1615
1	433	1506
2	1199	1422
3	3771	1414
done	5001	1414

prune435.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (- z a))
0.0b	(+ (* z (/ y (- z a))) (fma (- t) (/ y (- z a)) x))
3.0b	(fma (- t) (/ y (- z a)) x)
7.6b	(* z (/ y (- z a)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
31×	`times-frac`
24×	`add-cube-cbrt`
21×	`associate-r`
11×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1` `add-log-exp`
5×	`associate-/r*`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u`
3×	`associate-l` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `fma-udef` `div-inv` `unswap-sqr`
1×	`+-commutative` `associate-+r+` `fma-def` `frac-2neg` `flip3-+` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

4 → 106

Calls

4 calls:

12.0ms	(/ y (- z a))
22.0ms	(+ (* z (/ y (- z a))) (fma (- t) (/ y (- z a)) x))
0.0ms	(fma (- t) (/ y (- z a)) x)
42.0ms	(* z (/ y (- z a)))

series423.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ y (- z a))
161.0ms	(+ (* z (/ y (- z a))) (fma (- t) (/ y (- z a)) x))
122.0ms	(fma (- t) (/ y (- z a)) x)
93.0ms	(* z (/ y (- z a)))

simplify2.0s

Counts

118 → 118

Iterations

Useful iterations: 3 (903.0ms)

Iter	Nodes	Cost
0	152	1362
1	345	1250
2	948	1113
3	3184	1088
done	5000	1088

prune454.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes156.0ms

Accuracy

39.1% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 1.5b

bsearch110.0ms

Steps

Iters	Range		Point
9	1.2707573943542871e+56	3.2012849582986803e+61	1.2879495667508804e+56
6	-3.384350581070553e-155	-3.026006818735111e-156	-3.333121669551158e-155

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	19	41
1	26	31
done	26	31

end0.0ms

sample1.6s

Algorithm

intervals

Results

923.0ms	8725×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	160	valid