Details

sample43.0ms

Algorithm

intervals

Results

17.0ms

281×

body

valid

simplify1.9s

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	10	11
1	21	11
2	37	10
3	60	10
4	103	10
5	163	10
6	214	10
7	241	10
8	280	10
9	321	10
10	406	10
11	504	10
12	572	10
13	636	10
14	664	10
done	664	10

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 122

Calls

3 calls:

18.0ms	(+ x (* y (/ (- z t) (- z a))))
36.0ms	(/ (- z t) (- z a))
68.0ms	(* y (/ (- z t) (- z a)))

series302.0ms

Counts

3 → 9

Calls

3 calls:

145.0ms	(+ x (* y (/ (- z t) (- z a))))
64.0ms	(/ (- z t) (- z a))
92.0ms	(* y (/ (- z t) (- z a)))

simplify2.6s

Counts

131 → 131

Iterations

Useful iterations: 2 (294.0ms)

Iter	Nodes	Cost
0	168	1615
1	431	1512
2	1219	1414
3	3960	1414
done	5000	1414

prune461.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
0.0b	(/ (- z a) (- z t))
0.4b	(/ 1 (/ (- z a) (- z t)))
2.1b	(* y (/ 1 (/ (- z a) (- z t))))

rewrite243.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
337×	`add-sqr-sqrt`
325×	`*-un-lft-identity`
159×	`add-cube-cbrt`
98×	`associate-r`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`add-exp-log` `associate-/r*`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u`
3×	`fma-def` `associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `flip-+` `inv-pow`

Counts

4 → 349

Calls

4 calls:

12.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
35.0ms	(/ (- z a) (- z t))
47.0ms	(/ 1 (/ (- z a) (- z t)))
125.0ms	(* y (/ 1 (/ (- z a) (- z t))))

series562.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
60.0ms	(/ (- z a) (- z t))
170.0ms	(/ 1 (/ (- z a) (- z t)))
185.0ms	(* y (/ 1 (/ (- z a) (- z t))))

simplify1.7s

Counts

361 → 361

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	380	5794
1	937	4673
2	2069	4272
done	5000	4196

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z a))
0.5b	(cbrt (- z a))
0.5b	(cbrt (- z a))
5.2b	(* (/ y (* (cbrt (- z a)) (cbrt (- z a)))) (/ (- z t) (cbrt (- z a))))

rewrite227.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
50×	`times-frac`
46×	`associate-r`
42×	`cbrt-prod`
28×	`add-cube-cbrt`
25×	`add-exp-log`
20×	`cbrt-div`
18×	`add-cbrt-cube`
16×	`distribute-lft-out--` `difference-of-squares`
15×	`associate-l`
10×	`flip3--` `associate-/r/` `flip--`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`pow1` `unswap-sqr`
5×	`frac-times`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-r/` `associate-l/`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 144

Calls

4 calls:

4.0ms	(cbrt (- z a))
4.0ms	(cbrt (- z a))
5.0ms	(cbrt (- z a))
204.0ms	(* (/ y (* (cbrt (- z a)) (cbrt (- z a)))) (/ (- z t) (cbrt (- z a))))

series987.0ms

Counts

4 → 12

Calls

4 calls:

270.0ms	(cbrt (- z a))
270.0ms	(cbrt (- z a))
266.0ms	(cbrt (- z a))
181.0ms	(* (/ y (* (cbrt (- z a)) (cbrt (- z a)))) (/ (- z t) (cbrt (- z a))))

simplify2.0s

Counts

156 → 156

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	227	2904
1	632	2772
2	2416	2383
done	5000	2239

prune861.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (- z a))
0.0b	(/ 1 (- z t))
0.2b	(/ (cbrt 1) (/ 1 (- z t)))
9.0b	(* (/ y (- z a)) (/ (cbrt 1) (/ 1 (- z t))))

rewrite347.0ms

Algorithm

rewrite-expression-head

Rules

532×	`times-frac`
405×	`add-sqr-sqrt`
349×	`*-un-lft-identity`
237×	`add-cube-cbrt`
141×	`cbrt-prod`
131×	`associate-r`
54×	`add-exp-log`
50×	`distribute-lft-out--` `difference-of-squares`
34×	`associate-/r/`
31×	`associate-/r*`
28×	`add-cbrt-cube`
26×	`div-exp`
21×	`associate-l`
20×	`unswap-sqr`
18×	`div-inv`
16×	`flip3--` `flip--`
14×	`cbrt-undiv`
12×	`associate-/l*`
10×	`prod-exp`
7×	`pow1`
6×	`cbrt-unprod`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `inv-pow`

Counts

4 → 456

Calls

4 calls:

28.0ms	(/ y (- z a))
27.0ms	(/ 1 (- z t))
29.0ms	(/ (cbrt 1) (/ 1 (- z t)))
230.0ms	(* (/ y (- z a)) (/ (cbrt 1) (/ 1 (- z t))))

series368.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(/ y (- z a))
72.0ms	(/ 1 (- z t))
46.0ms	(/ (cbrt 1) (/ 1 (- z t)))
207.0ms	(* (/ y (- z a)) (/ (cbrt 1) (/ 1 (- z t))))

simplify2.4s

Counts

468 → 468

Iterations

Useful iterations: 2 (1.1s)

Iter	Nodes	Cost
0	499	8049
1	1397	4626
2	2524	4316
done	5000	4316

prune1.3s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes296.0ms

Accuracy

39.2% (0.9b remaining)

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

bsearch111.0ms

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

581.0ms	8726×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	640	valid