Details

sample52.0ms

Algorithm

intervals

Results

19.0ms

275×

body

valid

simplify3.8s

Counts

1 → 1

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	10	11
1	21	11
2	37	10
3	60	10
4	105	10
5	180	10
6	304	10
7	360	10
8	448	10
9	713	10
10	1241	10
11	3537	10
done	5000	10

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.1b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
1.6b	(* y (/ (- z t) (- z a)))

rewrite172.0ms

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:

14.0ms	(+ x (* y (/ (- z t) (- z a))))
45.0ms	(/ (- z t) (- z a))
98.0ms	(* y (/ (- z t) (- z a)))

series357.0ms

Counts

3 → 9

Calls

3 calls:

143.0ms	(+ x (* y (/ (- z t) (- z a))))
95.0ms	(/ (- z t) (- z a))
119.0ms	(* y (/ (- z t) (- z a)))

simplify1.3s

Counts

131 → 131

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	168	1615
1	460	1524
2	1825	1420
done	5002	1414

prune828.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- (- z t)) (- (- z a)))))
0.0b	(/ (- (- z t)) (- (- z a)))
1.6b	(* y (/ (- (- z t)) (- (- z a))))

rewrite354.0ms

Algorithm

rewrite-expression-head

Rules

417×	`add-sqr-sqrt`
412×	`*-un-lft-identity`
393×	`times-frac`
290×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
202×	`associate-r`
180×	`add-cube-cbrt`
116×	`distribute-lft-out--` `difference-of-squares`
58×	`neg-mul-1`
14×	`associate-/r` `associate-/l`
10×	`add-exp-log` `add-cbrt-cube`
6×	`distribute-neg-frac`
5×	`pow1` `add-log-exp`
4×	`distribute-frac-neg` `associate-/r/`
3×	`expm1-log1p-u` `flip3--` `fma-def` `associate-l` `distribute-rgt-neg-out` `flip--` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `neg-sub0` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `unsub-neg` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 486

Calls

3 calls:

12.0ms	(+ x (* y (/ (- (- z t)) (- (- z a)))))
69.0ms	(/ (- (- z t)) (- (- z a)))
221.0ms	(* y (/ (- (- z t)) (- (- z a))))

series330.0ms

Counts

3 → 9

Calls

3 calls:

139.0ms	(+ x (* y (/ (- (- z t)) (- (- z a)))))
65.0ms	(/ (- (- z t)) (- (- z a)))
126.0ms	(* y (/ (- (- z t)) (- (- z a))))

simplify1.1s

Counts

495 → 495

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	487	7445
1	1386	7011
done	5001	6824

prune2.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z a))
0.6b	(cbrt (- z a))
0.6b	(cbrt (- z a))
6.2b	(* (* y (/ -1 (- (* (cbrt (- z a)) (cbrt (- z a)))))) (/ (- z t) (cbrt (- z a))))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt` `*-un-lft-identity`
46×	`associate-r`
40×	`cbrt-prod` `times-frac`
26×	`add-cube-cbrt`
25×	`add-exp-log`
22×	`add-cbrt-cube`
16×	`distribute-lft-out--` `difference-of-squares`
10×	`prod-exp` `cbrt-unprod`
9×	`pow1`
8×	`cbrt-div`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-*r/` `pow-prod-down`
2×	`associate-/r/`
1×	`frac-times` `associate-l` `associate-l/` `-commutative` `div-inv`

Counts

4 → 125

Calls

4 calls:

4.0ms	(cbrt (- z a))
4.0ms	(cbrt (- z a))
8.0ms	(cbrt (- z a))
143.0ms	(* (* y (/ -1 (- (* (cbrt (- z a)) (cbrt (- z a)))))) (/ (- z t) (cbrt (- z a))))

series1.0s

Counts

4 → 12

Calls

4 calls:

242.0ms	(cbrt (- z a))
284.0ms	(cbrt (- z a))
267.0ms	(cbrt (- z a))
238.0ms	(* (* y (/ -1 (- (* (cbrt (- z a)) (cbrt (- z a)))))) (/ (- z t) (cbrt (- z a))))

simplify2.9s

Counts

137 → 137

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	207	2706
1	627	2603
2	3900	2219
done	5000	2164

prune973.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- (- z t))) (- (- z a))))
0.0b	(* y (- (- z t)))
11.9b	(/ (* y (- (- z t))) (- (- z a)))

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt` `*-un-lft-identity`
26×	`add-cube-cbrt`
22×	`distribute-neg-in`
18×	`prod-diff`
15×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
14×	`times-frac` `associate-r` `associate-/r*`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `add-cbrt-cube`
6×	`distribute-neg-frac` `distribute-lft-out--` `difference-of-squares`
5×	`pow1` `add-log-exp`
4×	`associate-*r/` `distribute-rgt-neg-out`
3×	`expm1-log1p-u` `neg-mul-1` `flip3--` `fma-def` `distribute-frac-neg` `associate-l` `flip--` `log1p-expm1-u`
2×	`cbrt-undiv` `sub-neg` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `unsub-neg` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 125

Calls

3 calls:

58.0ms	(+ x (/ (* y (- (- z t))) (- (- z a))))
48.0ms	(* y (- (- z t)))
72.0ms	(/ (* y (- (- z t))) (- (- z a)))

series321.0ms

Counts

3 → 9

Calls

3 calls:

145.0ms	(+ x (/ (* y (- (- z t))) (- (- z a))))
53.0ms	(* y (- (- z t)))
123.0ms	(/ (* y (- (- z t))) (- (- z a)))

simplify2.2s

Counts

134 → 134

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	248	1896
1	674	1645
2	3018	1462
done	5001	1422

prune625.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes572.0ms

Accuracy

36.9% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 1.4b

bsearch111.0ms

Steps

Iters	Range		Point
9	8.931192701332034e-10	6.910177667229134e-05	1.4513944166191972e-07
7	-2.3315662235569937e+89	-3.21116155890472e+87	-3.2594727633548683e+87

simplify8.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	21	47
1	32	35
2	42	35
3	45	35
done	45	35

end0.0ms

sample1.6s

Algorithm

intervals

Results

978.0ms	8713×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid