Details

sample497.0ms

Algorithm

intervals

Results

272.0ms	1370×	body	80	nan
68.0ms	465×	body	80	valid

simplify4.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1724
4	480
3	179
2	71
1	33
0	17

prune43.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.8b

localize79.0ms

Local error

Found 4 expressions with local error:

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

rewrite653.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
21×	`add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`add-exp-log` `log-prod` `exp-sum`
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` `log1p-expm1-u`
3×	`times-frac` `prod-exp` `associate-/r*` `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×	`sub-neg` `flip3--` `frac-2neg` `associate-r/` `associate--l+` `clear-num` `sum-log` `flip--` `div-inv` `associate-/l/` `associate-/l`

Counts

4 → 112

Calls

4 calls:

51.0ms	(* (- t 1.0) (log a))
19.0ms	(* y (log z))
173.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
402.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series895.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(* (- t 1.0) (log a))
89.0ms	(* y (log z))
272.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
413.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify4.0s

Counts

124 → 124

Iterations

Iter	Nodes
done	5001
2	1918
1	618
0	275

prune1.7s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.6b

localize106.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`exp-prod` `pow1/3`
1×	`exp-sum` `fma-udef` `rem-exp-log`

Counts

4 → 53

Calls

4 calls:

2.0ms	(cbrt y)
2.0ms	(cbrt y)
3.0ms	(cbrt y)
8.0ms	(exp (fma (log z) y (- (* (- t 1.0) (log a)) b)))

series1.7s

Counts

4 → 12

Calls

4 calls:

392.0ms	(cbrt y)
510.0ms	(cbrt y)
408.0ms	(cbrt y)
341.0ms	(exp (fma (log z) y (- (* (- t 1.0) (log a)) b)))

simplify3.3s

Counts

65 → 65

Iterations

Iter	Nodes
done	5000
3	1463
2	490
1	208
0	94

prune1.3s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 0.5b

localize159.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`exp-prod` `pow1/3`
1×	`exp-sum` `fma-udef` `rem-exp-log`

Counts

4 → 53

Calls

4 calls:

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

series1.6s

Counts

4 → 12

Calls

4 calls:

420.0ms	(cbrt y)
420.0ms	(cbrt y)
409.0ms	(cbrt y)
329.0ms	(exp (fma (log z) y (- (* (- t 1.0) (log a)) b)))

simplify3.5s

Counts

65 → 65

Iterations

Iter	Nodes
done	5000
3	1463
2	490
1	208
0	94

prune1.5s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 0.5b

localize219.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`exp-prod` `pow1/3`
1×	`exp-sum` `fma-udef` `rem-exp-log`

Counts

4 → 53

Calls

4 calls:

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

series1.7s

Counts

4 → 12

Calls

4 calls:

464.0ms	(cbrt y)
425.0ms	(cbrt y)
430.0ms	(cbrt y)
352.0ms	(exp (fma (log z) y (- (* (- t 1.0) (log a)) b)))

simplify3.5s

Counts

65 → 65

Iterations

Iter	Nodes
done	5000
3	1463
2	490
1	208
0	94

prune1.2s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 0.5b

regimes5.4s

Accuracy

0% (1.1b remaining)

Error of 1.8b against oracle of 0.7b and baseline of 1.8b

bsearch0.0ms

simplify16.0ms

Iterations

Iter	Nodes
done	28
1	28
0	24

end0.0ms

sample18.3s

Algorithm

intervals

Results

11.0s	44707×	body	80	nan
2.8s	15172×	body	80	valid