Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

285×

body

valid

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	35	10
3	58	10
4	96	10
5	153	10
6	211	10
7	238	10
8	290	10
9	332	10
10	428	10
11	703	10
12	915	10
13	968	10
14	978	10
done	978	10

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
0.6b	(* y (/ (- z t) (- a t)))

rewrite45.0ms

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:

2.0ms	(+ x (* y (/ (- z t) (- a t))))
11.0ms	(/ (- z t) (- a t))
23.0ms	(* y (/ (- z t) (- a t)))

series199.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(+ x (* y (/ (- z t) (- a t))))
52.0ms	(/ (- z t) (- a t))
64.0ms	(* y (/ (- z t) (- a t)))

simplify595.0ms

Counts

131 → 131

Iterations

Useful iterations: 2 (127.0ms)

Iter	Nodes	Cost
0	168	1615
1	436	1512
2	1589	1414
done	5000	1414

prune493.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (* (- z t) (/ 1 (- a t)))))
0.0b	(/ 1 (- a t))
0.2b	(* (- z t) (/ 1 (- a t)))
0.6b	(* y (* (- z t) (/ 1 (- a t))))

rewrite62.0ms

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:

3.0ms	(+ x (* y (* (- z t) (/ 1 (- a t)))))
5.0ms	(/ 1 (- a t))
23.0ms	(* (- z t) (/ 1 (- a t)))
24.0ms	(* y (* (- z t) (/ 1 (- a t))))

series231.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(+ x (* y (* (- z t) (/ 1 (- a t)))))
34.0ms	(/ 1 (- a t))
50.0ms	(* (- z t) (/ 1 (- a t)))
68.0ms	(* y (* (- z t) (/ 1 (- a t))))

simplify975.0ms

Counts

153 → 153

Iterations

Useful iterations: 2 (162.0ms)

Iter	Nodes	Cost
0	190	1812
1	474	1506
2	1786	1286
done	5000	1286

prune315.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

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:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)
28.0ms	(* (cbrt y) (/ (- z t) (- a t)))

series707.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt y)
182.0ms	(cbrt y)
175.0ms	(cbrt y)
171.0ms	(* (cbrt y) (/ (- z t) (- a t)))

simplify475.0ms

Counts

108 → 108

Iterations

Useful iterations: 2 (94.0ms)

Iter	Nodes	Cost
0	126	972
1	295	915
2	1199	849
done	5001	849

prune333.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a t))
0.5b	(cbrt (- a t))
0.5b	(* (cbrt (- a t)) (cbrt (- a t)))
4.4b	(* (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t))))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 185

Calls

4 calls:

2.0ms	(cbrt (- a t))
2.0ms	(cbrt (- a t))
21.0ms	(* (cbrt (- a t)) (cbrt (- a t)))
71.0ms	(* (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t))))

series591.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(cbrt (- a t))
154.0ms	(cbrt (- a t))
126.0ms	(* (cbrt (- a t)) (cbrt (- a t)))
159.0ms	(* (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t))))

simplify1.3s

Counts

197 → 197

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	282	3562
1	766	3372
2	3685	2919
done	5000	2916

prune575.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes191.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	17	13
done	17	13

end0.0ms

sample517.0ms

Algorithm

intervals

Results

264.0ms	8738×	body	80	valid
0.0ms	1×	body	640	valid