Details

sample504.0ms

Algorithm

intervals

Results

291.0ms	1458×	body	80	nan
107.0ms	494×	body	80	valid

simplify6.2s

Counts: 1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize34.0ms

Local error

Found 4 expressions with local error:

0.8b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.5b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.3b	(* y (log z))
0.2b	(* (- t 1.0) (log a))

rewrite326.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
15×	`add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`log-prod` `add-exp-log`
10×	`pow1` `add-log-exp`
8×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`exp-prod`
4×	`insert-posit16`
3×	`associate-/r*` `times-frac` `exp-sum` `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 → 99

Calls

4 calls:

Slowest

213.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
82.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
21.0ms	(* (- t 1.0) (log a))
7.0ms	(* y (log z))

series585.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

265.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
183.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
82.0ms	(* (- t 1.0) (log a))
54.0ms	(* y (log z))

simplify793.0ms

Counts: 111 → 111

prune2.0s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.6b

localize51.0ms

Local error

Found 4 expressions with local error:

0.8b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
9×	`cbrt-prod`
8×	`add-cube-cbrt`
5×	`exp-prod`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16`
3×	`pow1/3` `exp-sum` `rem-exp-log`
2×	`diff-log`
1×	`sum-log` `sub-neg` `exp-diff` `associate--l+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 56

Calls

4 calls:

Slowest

86.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.1s

Counts

4 → 12

Calls

4 calls:

Slowest

331.0ms	(cbrt y)
323.0ms	(cbrt y)
298.0ms	(cbrt y)
192.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify3.0s

Counts: 68 → 68

prune1.4s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.6b

localize108.0ms

Local error

Found 4 expressions with local error:

0.8b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.6b	(cbrt (* (cbrt y) (cbrt y)))
0.6b	(cbrt (cbrt y))
0.6b	(cbrt y)

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

13×	`cbrt-prod`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
8×	`add-cube-cbrt`
5×	`exp-prod`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16`
3×	`pow1/3` `exp-sum` `rem-exp-log`
2×	`diff-log`
1×	`sum-log` `sub-neg` `exp-diff` `associate--l+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 57

Calls

4 calls:

Slowest

108.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
4.0ms	(cbrt (* (cbrt y) (cbrt y)))
1.0ms	(cbrt (cbrt y))
1.0ms	(cbrt y)

series1.3s

Counts

4 → 12

Calls

4 calls:

Slowest

435.0ms	(cbrt (* (cbrt y) (cbrt y)))
420.0ms	(cbrt (cbrt y))
292.0ms	(cbrt y)
174.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify911.0ms

Counts: 69 → 69

prune1.8s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.6b

localize138.0ms

Local error

Found 4 expressions with local error:

0.8b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.6b	(cbrt (cbrt (* (cbrt y) (cbrt y))))
0.6b	(cbrt (cbrt (cbrt y)))
0.6b	(cbrt (* (cbrt y) (cbrt y)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
11×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-log-exp`
9×	`add-cube-cbrt`
5×	`exp-prod`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16`
3×	`pow1/3` `exp-sum` `rem-exp-log`
2×	`diff-log`
1×	`sum-log` `sub-neg` `exp-diff` `associate--l+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 61

Calls

4 calls:

Slowest

72.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
5.0ms	(cbrt (* (cbrt y) (cbrt y)))
2.0ms	(cbrt (cbrt (* (cbrt y) (cbrt y))))
1.0ms	(cbrt (cbrt (cbrt y)))

series1.3s

Counts

4 → 12

Calls

4 calls:

Slowest

458.0ms	(cbrt (* (cbrt y) (cbrt y)))
405.0ms	(cbrt (cbrt (* (cbrt y) (cbrt y))))
304.0ms	(cbrt (cbrt (cbrt y)))
176.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify927.0ms

Counts: 73 → 73

prune1.9s

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.5b

regimes2.1s

Accuracy

0% (1.2b remaining)

Error of 2.0b against oracle of 0.8b and baseline of 2.0b

bsearch5.0ms

end0.0ms

sample15.4s

Algorithm

intervals

Results

8.2s	45854×	body	80	nan
2.9s	15216×	body	80	valid