Details

sample23.0ms

Algorithm

intervals

Results

8.0ms

294×

body

valid

simplify999.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite327.0ms

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:

7.0ms	(+ x (* y (/ (- z t) (- z a))))
271.0ms	(/ (- z t) (- z a))
43.0ms	(* y (/ (- z t) (- z a)))

series247.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(+ x (* y (/ (- z t) (- z a))))
56.0ms	(/ (- z t) (- z a))
85.0ms	(* y (/ (- z t) (- z a)))

simplify1.7s

Counts

131 → 131

Iterations

Useful iterations: 2 (191.0ms)

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

prune319.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (* (- z t) (/ 1 (- z a)))))
0.0b	(/ 1 (- z a))
0.2b	(* (- z t) (/ 1 (- z a)))
0.7b	(* y (* (- z t) (/ 1 (- z a))))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
32×	`add-exp-log` `times-frac`
26×	`add-cube-cbrt`
22×	`associate-r`
20×	`add-cbrt-cube`
13×	`prod-exp`
12×	`pow1`
8×	`associate-r/` `associate-l*` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`flip3--` `div-exp` `flip--` `add-log-exp`
5×	`associate-/r*`
4×	`expm1-log1p-u` `frac-times` `pow-prod-down` `associate-*l/` `associate-/r/` `log1p-expm1-u`
3×	`cbrt-undiv` `rec-exp` `fma-def` `1-exp` `associate-/l*` `unswap-sqr`
2×	`un-div-inv` `*-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+` `inv-pow`

Counts

4 → 141

Calls

4 calls:

9.0ms	(+ x (* y (* (- z t) (/ 1 (- z a)))))
12.0ms	(/ 1 (- z a))
45.0ms	(* (- z t) (/ 1 (- z a)))
53.0ms	(* y (* (- z t) (/ 1 (- z a))))

series276.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(+ x (* y (* (- z t) (/ 1 (- z a)))))
41.0ms	(/ 1 (- z a))
50.0ms	(* (- z t) (/ 1 (- z a)))
87.0ms	(* y (* (- z t) (/ 1 (- z a))))

simplify990.0ms

Counts

153 → 153

Iterations

Useful iterations: 2 (227.0ms)

Iter	Nodes	Cost
0	190	1812
1	456	1462
2	1436	1286
done	5001	1286

prune331.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
31×	`associate-r`
27×	`times-frac`
20×	`add-cube-cbrt`
14×	`cbrt-prod`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log`
7×	`add-cbrt-cube`
6×	`pow1` `associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow1/3`
2×	`prod-exp` `associate-/r/` `cbrt-unprod`
1×	`cbrt-undiv` `flip3--` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `flip--` `div-inv`

Counts

4 → 96

Calls

4 calls:

45.0ms	(* (cbrt y) (/ (- z t) (- z a)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series841.0ms

Counts

4 → 12

Calls

4 calls:

234.0ms	(* (cbrt y) (/ (- z t) (- z a)))
198.0ms	(cbrt y)
204.0ms	(cbrt y)
205.0ms	(cbrt y)

simplify2.3s

Counts

108 → 108

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	126	972
1	288	915
2	1078	849
3	4546	839
done	5001	839

prune315.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))
0.5b	(* (cbrt (- z t)) (cbrt (- z t)))
8.0b	(* (* (* (cbrt (- z t)) (cbrt (- z t))) y) (/ (cbrt (- z t)) (- z a)))

rewrite281.0ms

Algorithm

rewrite-expression-head

Rules

79×	`add-sqr-sqrt`
77×	`*-un-lft-identity`
63×	`cbrt-prod`
54×	`associate-r`
40×	`cbrt-div` `times-frac`
33×	`add-cube-cbrt`
30×	`associate-*l/`
27×	`add-exp-log`
21×	`flip3--` `flip--` `distribute-lft-out--`
20×	`pow1` `frac-times`
19×	`difference-of-squares`
18×	`add-cbrt-cube`
13×	`prod-exp` `cbrt-unprod`
10×	`swap-sqr`
9×	`associate-l`
8×	`pow1/3` `pow-prod-down`
7×	`associate-*r/`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp`
2×	`associate-/r/` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-plus` `div-inv`

Counts

4 → 181

Calls

4 calls:

4.0ms	(cbrt (- z t))
4.0ms	(cbrt (- z t))
38.0ms	(* (cbrt (- z t)) (cbrt (- z t)))
226.0ms	(* (* (* (cbrt (- z t)) (cbrt (- z t))) y) (/ (cbrt (- z t)) (- z a)))

series631.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(cbrt (- z t))
187.0ms	(cbrt (- z t))
166.0ms	(* (cbrt (- z t)) (cbrt (- z t)))
82.0ms	(* (* (* (cbrt (- z t)) (cbrt (- z t))) y) (/ (cbrt (- z t)) (- z a)))

simplify1.5s

Counts

193 → 193

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	288	3550
1	738	3328
2	2922	2868
done	5000	2698

prune527.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes206.0ms

Accuracy

0% (1.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	12	11
done	12	11

end0.0ms

sample622.0ms

Algorithm

intervals

Results

251.0ms	8713×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid