Details

sample732.0ms

Algorithm

intervals

Results

545.0ms	1515×	body	80	nan
95.0ms	508×	body	80	valid

simplify777.0ms

Counts: 1 → 1

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.8b

localize59.0ms

Local error

Found 4 expressions with local error:

0.9b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.8b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.3b	(* y (log z))
0.1b	(* (- t 1.0) (log a))

rewrite371.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
21×	`add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`log-prod` `exp-sum` `add-exp-log`
10×	`pow1` `add-log-exp`
9×	`prod-diff`
8×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`exp-prod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r*` `times-frac` `prod-exp` `cbrt-unprod` `rem-exp-log`
2×	`cbrt-undiv` `exp-diff` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `log-pow` `-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3--` `associate--l+` `associate-r/` `div-inv` `flip--` `associate-/l` `associate-/l/`

Counts

4 → 116

Calls

4 calls:

Slowest

239.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
92.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
25.0ms	(* (- t 1.0) (log a))
13.0ms	(* y (log z))

series537.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

220.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
180.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
85.0ms	(* (- t 1.0) (log a))
52.0ms	(* y (log z))

simplify415.0ms

Counts: 154 → 128

prune2.2s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.7b

localize69.0ms

Local error

Found 4 expressions with local error:

0.9b	(/ y (* x (exp (- (fma y (log z) (* (- t 1.0) (log a))) b))))
0.8b	(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))
0.1b	(* (- t 1.0) (log a))
0.1b	(fma y (log z) (* (- t 1.0) (log a)))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
17×	`add-cube-cbrt`
12×	`exp-sum`
11×	`add-cbrt-cube`
10×	`add-exp-log`
9×	`prod-diff`
7×	`pow1` `add-log-exp`
6×	`log-prod`
5×	`exp-prod` `associate-l`
4×	`expm1-log1p-u` `associate-r` `insert-posit16` `log1p-expm1-u`
3×	`distribute-rgt-in` `distribute-lft-in` `times-frac` `associate-/l*`
2×	`cbrt-undiv` `exp-diff` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `fma-udef` `distribute-lft-out--` `difference-of-squares` `rem-exp-log`
1×	`clear-num` `associate-/r` `sub-neg` `frac-2neg` `flip3--` `diff-log` `pow-prod-down` `associate--l+` `associate-r/` `associate-/r/` `log-pow` `*-commutative` `div-inv` `flip--` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

Slowest

34.0ms	(* (- t 1.0) (log a))
30.0ms	(/ y (* x (exp (- (fma y (log z) (* (- t 1.0) (log a))) b))))
27.0ms	(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))
0.0ms	(fma y (log z) (* (- t 1.0) (log a)))

series646.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

292.0ms	(/ y (* x (exp (- (fma y (log z) (* (- t 1.0) (log a))) b))))
184.0ms	(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))
87.0ms	(fma y (log z) (* (- t 1.0) (log a)))
83.0ms	(* (- t 1.0) (log a))

simplify319.0ms

Counts: 131 → 110

prune2.5s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.6b

localize82.0ms

Local error

Found 4 expressions with local error:

0.9b	(/ y (* x (* (* (cbrt (exp (- (fma y (log z) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (fma y (log z) (* (- t 1.0) (log a))) b)))) (cbrt (exp (- (fma y (log z) (* (- t 1.0) (log a))) b))))))
0.8b	(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))
0.8b	(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))
0.8b	(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))

rewrite261.0ms

Algorithm

rewrite-expression-head

Rules

36×	`exp-sum`
33×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`prod-diff` `add-cube-cbrt`
18×	`add-exp-log`
15×	`exp-prod` `exp-diff`
14×	`add-cbrt-cube`
13×	`add-log-exp`
12×	`cbrt-div`
10×	`associate-*r/`
7×	`associate-/r/`
6×	`prod-exp` `cbrt-unprod` `rem-exp-log`
5×	`frac-times` `associate-*l/`
4×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u`
3×	`sub-neg` `times-frac` `diff-log` `associate--l+` `fma-udef` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
1×	`clear-num` `associate-/r*` `frac-2neg` `div-inv`

Counts

4 → 125

Calls

4 calls:

Slowest

218.0ms	(/ y (* x (* (* (cbrt (exp (- (fma y (log z) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (fma y (log z) (* (- t 1.0) (log a))) b)))) (cbrt (exp (- (fma y (log z) (* (- t 1.0) (log a))) b))))))
21.0ms	(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))
10.0ms	(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))
10.0ms	(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))

series804.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

314.0ms	(/ y (* x (* (* (cbrt (exp (- (fma y (log z) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (fma y (log z) (* (- t 1.0) (log a))) b)))) (cbrt (exp (- (fma y (log z) (* (- t 1.0) (log a))) b))))))
185.0ms	(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))
155.0ms	(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))
149.0ms	(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))

simplify1.0s

Counts: 174 → 137

prune3.2s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 0.6b

localize97.0ms

Local error

Found 4 expressions with local error:

0.9b	(/ y (* x (* (* (cbrt (* (* (cbrt (exp (- (fma y (log z) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (fma y (log z) (* (- t 1.0) (log a))) b)))) (cbrt (exp (- (fma y (log z) (* (- t 1.0) (log a))) b))))) (cbrt (exp (- (fma y (log z) (* (- t 1.0) (log a))) b)))) (cbrt (exp (- (fma y (log z) (* (- t 1.0) (log a))) b))))))
0.8b	(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))
0.8b	(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))
0.8b	(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))

rewrite313.0ms

Algorithm

rewrite-expression-head

Rules

108×	`cbrt-div`
83×	`exp-diff`
49×	`frac-times` `associate-*l/`
46×	`associate-*r/`
36×	`exp-sum`
33×	`add-sqr-sqrt` `*-un-lft-identity`
31×	`associate-/r/`
27×	`prod-diff` `add-cube-cbrt`
18×	`add-exp-log`
15×	`exp-prod`
14×	`add-cbrt-cube`
13×	`add-log-exp`
6×	`prod-exp` `cbrt-unprod` `rem-exp-log`
4×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u`
3×	`sub-neg` `times-frac` `diff-log` `associate--l+` `fma-udef` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
1×	`clear-num` `associate-/r*` `frac-2neg` `div-inv`

Counts

4 → 149

Calls

4 calls:

Slowest

271.0ms	(/ y (* x (* (* (cbrt (* (* (cbrt (exp (- (fma y (log z) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (fma y (log z) (* (- t 1.0) (log a))) b)))) (cbrt (exp (- (fma y (log z) (* (- t 1.0) (log a))) b))))) (cbrt (exp (- (fma y (log z) (* (- t 1.0) (log a))) b)))) (cbrt (exp (- (fma y (log z) (* (- t 1.0) (log a))) b))))))
16.0ms	(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))
11.0ms	(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))
11.0ms	(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))

series783.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

302.0ms	(/ y (* x (* (* (cbrt (* (* (cbrt (exp (- (fma y (log z) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (fma y (log z) (* (- t 1.0) (log a))) b)))) (cbrt (exp (- (fma y (log z) (* (- t 1.0) (log a))) b))))) (cbrt (exp (- (fma y (log z) (* (- t 1.0) (log a))) b)))) (cbrt (exp (- (fma y (log z) (* (- t 1.0) (log a))) b))))))
185.0ms	(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))
170.0ms	(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))
125.0ms	(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))

simplify931.0ms

Counts: 198 → 161

prune4.2s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 0.6b

regimes2.8s

Accuracy

0% (1.2b remaining)

Error of 2.0b against oracle of 0.7b and baseline of 2.0b

bsearch17.0ms

end0.0ms

sample15.0s

Algorithm

intervals

Results

8.3s	44579×	body	80	nan
3.2s	14982×	body	80	valid