Details

sample194.0ms

Algorithm

intervals

Results

90.0ms	729×	body	80	nan
18.0ms	188×	body	80	valid
14.0ms	27×	body	640	valid
8.0ms	26×	body	320	valid
5.0ms	5×	body	1280	valid
2.0ms	12×	body	160	valid

simplify7.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	2850
6	1322
5	620
4	304
3	130
2	57
1	27
0	14

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.3b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (- x 1.0) (log y)) t)
0.0b	(fma (log (- 1.0 y)) (- z 1.0) (- (* (- x 1.0) (log y)) t))
0.1b	(* (- x 1.0) (log y))
7.2b	(log (- 1.0 y))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
17×	`log-prod`
16×	`*-un-lft-identity`
12×	`add-cube-cbrt`
8×	`pow1`
7×	`add-exp-log`
6×	`distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube` `associate--l+` `add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u`
3×	`flip3--` `prod-diff` `flip--`
2×	`log-div` `associate-*l/` `log-pow` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `fma-neg` `diff-log` `rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

14.0ms	(- (* (- x 1.0) (log y)) t)
0.0ms	(fma (log (- 1.0 y)) (- z 1.0) (- (* (- x 1.0) (log y)) t))
20.0ms	(* (- x 1.0) (log y))
6.0ms	(log (- 1.0 y))

series542.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(- (* (- x 1.0) (log y)) t)
298.0ms	(fma (log (- 1.0 y)) (- z 1.0) (- (* (- x 1.0) (log y)) t))
105.0ms	(* (- x 1.0) (log y))
67.0ms	(log (- 1.0 y))

simplify2.5s

Counts

95 → 95

Iterations

Iter	Nodes
done	5000
3	4518
2	1336
1	509
0	213

prune667.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.2b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (/ y 1.0) (/ y 1.0)) 1/2)
0.0b	(fma (- (log 1.0) (fma y 1.0 (* (* (/ y 1.0) (/ y 1.0)) 1/2))) (- z 1.0) (- (* (- x 1.0) (log y)) t))
0.0b	(- (* (- x 1.0) (log y)) t)
0.1b	(* (- x 1.0) (log y))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-cbrt-cube` `add-exp-log`
17×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`pow1` `log-prod` `add-cube-cbrt`
10×	`prod-exp` `cbrt-unprod`
7×	`associate-r`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `associate-*l/` `associate--l+` `add-log-exp`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `pow-prod-down` `log1p-expm1-u`
3×	`prod-diff`
2×	`flip3--` `*-commutative` `flip--` `unswap-sqr`
1×	`frac-times` `sub-neg` `fma-neg` `diff-log` `associate-*r/` `log-pow` `fma-udef` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 95

Calls

4 calls:

35.0ms	(* (* (/ y 1.0) (/ y 1.0)) 1/2)
0.0ms	(fma (- (log 1.0) (fma y 1.0 (* (* (/ y 1.0) (/ y 1.0)) 1/2))) (- z 1.0) (- (* (- x 1.0) (log y)) t))
14.0ms	(- (* (- x 1.0) (log y)) t)
27.0ms	(* (- x 1.0) (log y))

series407.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (* (/ y 1.0) (/ y 1.0)) 1/2)
202.0ms	(fma (- (log 1.0) (fma y 1.0 (* (* (/ y 1.0) (/ y 1.0)) 1/2))) (- z 1.0) (- (* (- x 1.0) (log y)) t))
83.0ms	(- (* (- x 1.0) (log y)) t)
82.0ms	(* (- x 1.0) (log y))

simplify1.4s

Counts

107 → 107

Iterations

Iter	Nodes
done	5001
2	1759
1	565
0	223

prune801.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize73.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

13.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.1s

Counts

4 → 12

Calls

4 calls:

316.0ms	(* (cbrt y) (cbrt y))
214.0ms	(cbrt y)
257.0ms	(cbrt y)
273.0ms	(cbrt y)

simplify3.0s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
4	4322
3	1076
2	382
1	140
0	65

prune856.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize78.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.7b	(cbrt y)
0.7b	(cbrt y)
4.9b	(pow (/ 1 y) -1/3)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
22×	`cbrt-prod` `*-un-lft-identity` `add-cube-cbrt`
13×	`pow1` `unpow-prod-down`
11×	`add-exp-log`
9×	`times-frac`
8×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `pow-exp` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-unpow` `pow-pow`
2×	`div-exp` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `rec-exp` `pow-plus` `1-exp` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `pow-flip` `inv-pow` `sqr-pow`

Counts

4 → 102

Calls

4 calls:

13.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
9.0ms	(cbrt y)
8.0ms	(pow (/ 1 y) -1/3)

series965.0ms

Counts

4 → 12

Calls

4 calls:

226.0ms	(* (cbrt y) (cbrt y))
226.0ms	(cbrt y)
249.0ms	(cbrt y)
263.0ms	(pow (/ 1 y) -1/3)

simplify1.9s

Counts

114 → 114

Iterations

Iter	Nodes
done	5001
3	2791
2	975
1	367
0	141

prune947.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

regimes726.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	20
1	20
0	18

end0.0ms

sample6.5s

Algorithm

intervals

Results

2.8s	24237×	body	80	nan
1.2s	5824×	body	80	valid
563.0ms	769×	body	640	valid
277.0ms	714×	body	320	valid
244.0ms	265×	body	1280	valid
131.0ms	458×	body	160	valid