Details

sample64.0ms

Algorithm

intervals

Results

23.0ms	384×	body	80	valid
17.0ms	387×	body	80	nan

simplify1.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	24
1	37	24
2	83	24
3	191	24
4	419	24
5	808	24
6	1489	24
7	3827	24
done	5000	24

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.7b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
0.1b	(* (- x 0.5) (log x))
0.2b	(- (* (- x 0.5) (log x)) x)
5.3b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`log-prod`
12×	`associate--l+`
11×	`add-log-exp`
9×	`distribute-rgt-in` `distribute-lft-in` `times-frac`
8×	`add-exp-log` `associate-+l+` `add-cbrt-cube`
7×	`pow1`
5×	`associate-l`
4×	`associate-r`
3×	`associate-/r` `associate-/l`
2×	`sub-neg` `flip3--` `flip3-+` `diff-log` `associate-*l/` `sum-log` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `log-pow` `*-commutative` `cbrt-unprod` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

27.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
11.0ms	(* (- x 0.5) (log x))
7.0ms	(- (* (- x 0.5) (log x)) x)
24.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.2s

Counts

4 → 12

Calls

4 calls:

451.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
262.0ms	(* (- x 0.5) (log x))
433.0ms	(- (* (- x 0.5) (log x)) x)
85.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify510.0ms

Counts

110 → 110

Iterations

Useful iterations: done (507.0ms)

Iter	Nodes	Cost
0	213	1655
1	493	1589
2	1401	1489
done	5001	1440

prune414.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.8b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
5.3b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`cbrt-prod` `times-frac`
6×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`pow1/3` `associate-/r` `associate-/l`
2×	`associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

4 → 62

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
0.0ms	(cbrt x)
21.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series653.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt x)
194.0ms	(cbrt x)
185.0ms	(cbrt x)
88.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.1s

Counts

74 → 74

Iterations

Useful iterations: 3 (299.0ms)

Iter	Nodes	Cost
0	97	893
1	214	870
2	609	790
3	2517	761
done	5000	761

prune380.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.8b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
5.1b	(pow (/ 1 x) -1/3)
5.3b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
13×	`unpow-prod-down`
11×	`add-exp-log`
6×	`pow1` `cbrt-prod` `add-cbrt-cube`
4×	`pow-exp` `add-log-exp`
3×	`pow-unpow` `pow-pow` `div-exp` `associate-/r` `associate-/l`
2×	`pow1/3` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `pow-to-exp` `rec-exp` `pow-flip` `frac-2neg` `flip3-+` `1-exp` `clear-num` `flip-+` `inv-pow` `sqr-pow`

Counts

4 → 83

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
4.0ms	(pow (/ 1 x) -1/3)
25.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series652.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(cbrt x)
187.0ms	(cbrt x)
182.0ms	(pow (/ 1 x) -1/3)
89.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify2.1s

Counts

95 → 95

Iterations

Useful iterations: 3 (874.0ms)

Iter	Nodes	Cost
0	168	1157
1	369	1075
2	1011	985
3	3935	952
done	5001	952

prune444.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.8b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
4.4b	(exp (log (cbrt x)))
5.1b	(pow (/ 1 x) -1/3)
5.3b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
13×	`unpow-prod-down`
11×	`add-exp-log`
7×	`pow1`
6×	`cbrt-prod` `log-prod` `exp-sum` `add-cbrt-cube`
5×	`exp-prod`
4×	`pow-exp` `add-log-exp`
3×	`pow-unpow` `pow-pow` `div-exp` `associate-/r` `associate-/l`
2×	`pow1/3` `log-pow` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `pow-to-exp` `rec-exp` `pow-flip` `frac-2neg` `flip3-+` `1-exp` `clear-num` `flip-+` `rem-exp-log` `inv-pow` `sqr-pow`

Counts

4 → 91

Calls

4 calls:

0.0ms	(cbrt x)
2.0ms	(exp (log (cbrt x)))
4.0ms	(pow (/ 1 x) -1/3)
21.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series627.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt x)
178.0ms	(exp (log (cbrt x)))
176.0ms	(pow (/ 1 x) -1/3)
89.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify2.1s

Counts

103 → 103

Iterations

Useful iterations: 3 (745.0ms)

Iter	Nodes	Cost
0	196	1241
1	404	1113
2	1073	1023
3	4081	990
done	5000	990

prune490.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 4.8b

regimes303.0ms

Accuracy

0% (2.2b remaining)

Error of 6.0b against oracle of 3.8b and baseline of 6.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	37
1	29	37
done	29	37

end0.0ms

sample1.6s

Algorithm

intervals

Results

610.0ms	11662×	body	80	valid
527.0ms	11506×	body	80	nan