Details

Time bar (total: 1.7m)

sample475.0ms

Algorithm
intervals
Results
245.0ms1363×body80nan
96.0ms485×body80valid

simplify208.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
207.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize45.0ms

Local error

Found 4 expressions with local error:

1.2b
(/ (* 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))

rewrite330.0ms

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
215.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
70.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
32.0ms
(* (- t 1.0) (log a))
11.0ms
(* y (log z))

series571.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
239.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
188.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
103.0ms
(* (- t 1.0) (log a))
40.0ms
(* y (log z))

simplify9.4s

Counts
74 → 111
Calls
74 calls:
Slowest
655.0ms
(* x (exp (+ (* y (log z)) (* (- t 1.0) (log a)))))
518.0ms
(/ (* (* (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (* (* y y) y))
489.0ms
(/ (* (* (* x x) x) (* (* (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)) (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (* (* y y) y))
485.0ms
(/ (* x (exp (- (* 1.0 (log (/ 1 a))) (+ (* (log (/ 1 z)) y) (+ b (* t (log (/ 1 a)))))))) y)
475.0ms
(+ (* t (* (log a) (exp (- (* 1.0 (log a)))))) (+ (exp (- (* 1.0 (log a)))) (* (log z) (* (exp (- (* 1.0 (log a)))) y))))

prune1.9s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.7b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite186.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
85×add-sqr-sqrt
81×*-un-lft-identity
77×add-cube-cbrt
39×exp-sum
23×associate-/r*
13×sub-neg add-cbrt-cube associate--l+
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 exp-diff associate-/r/ div-inv
4×insert-posit16
3×cbrt-undiv div-exp associate-/l* rem-exp-log
2×diff-log pow-prod-down associate-*l/ prod-exp log-pow *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
1×clear-num sum-log frac-2neg flip3-- flip--
Counts
4 → 187
Calls
4 calls:
Slowest
88.0ms
(/ x (/ y (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
63.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
20.0ms
(* (- t 1.0) (log a))
11.0ms
(* y (log z))

series510.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
220.0ms
(/ x (/ y (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
170.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
82.0ms
(* (- t 1.0) (log a))
38.0ms
(* y (log z))

simplify42.6s

Counts
229 → 199
Calls
229 calls:
Slowest
820.0ms
(/ (sqrt x) (/ 1 (exp (+ (* y (log z)) (* (- t 1.0) (log a))))))
680.0ms
(/ (sqrt x) (/ (* (cbrt y) (cbrt y)) (exp (* y (log z)))))
547.0ms
(+ (* t (* (log a) (exp (- (* 1.0 (log a)))))) (+ (exp (- (* 1.0 (log a)))) (* (log z) (* (exp (- (* 1.0 (log a)))) y))))
438.0ms
(/ 1 (/ (sqrt y) (exp (+ (* y (log z)) (* (- t 1.0) (log a))))))
436.0ms
(/ 1 (/ (sqrt y) (exp (+ (* y (log z)) (* (- t 1.0) (log a))))))

prune3.5s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.6b

localize114.0ms

Local error

Found 4 expressions with local error:

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

rewrite268.0ms

Algorithm
rewrite-expression-head
Rules
22×add-log-exp
15×exp-prod
14×add-sqr-sqrt *-un-lft-identity
9×exp-sum rem-exp-log
8×add-cube-cbrt
6×diff-log
4×pow1 add-cbrt-cube add-exp-log insert-posit16
3×cbrt-prod sum-log sub-neg exp-diff associate--l+ distribute-lft-out-- difference-of-squares
1×pow1/3
Counts
4 → 72
Calls
4 calls:
Slowest
93.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
87.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
86.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.0ms
(cbrt x)

series760.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
300.0ms
(cbrt x)
168.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
156.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
137.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify9.4s

Counts
51 → 84
Calls
51 calls:
Slowest
585.0ms
(+ (* t (* (log a) (exp (- (* 1.0 (log a)))))) (+ (exp (- (* 1.0 (log a)))) (* (log z) (* (exp (- (* 1.0 (log a)))) y))))
543.0ms
(+ (* t (* (log a) (exp (- (* 1.0 (log a)))))) (+ (exp (- (* 1.0 (log a)))) (* (log z) (* (exp (- (* 1.0 (log a)))) y))))
484.0ms
(+ (* t (* (log a) (exp (- (* 1.0 (log a)))))) (+ (exp (- (* 1.0 (log a)))) (* (log z) (* (exp (- (* 1.0 (log a)))) y))))
440.0ms
(exp (+ (sqrt (+ (* y (log z)) (* (- t 1.0) (log a)))) (sqrt b)))
345.0ms
(exp (* (cbrt (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)) (cbrt (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))

prune2.1s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.5b

localize75.0ms

Local error

Found 4 expressions with local error:

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

rewrite187.0ms

Algorithm
rewrite-expression-head
Rules
16×add-log-exp
15×add-sqr-sqrt *-un-lft-identity
10×exp-prod
9×add-cube-cbrt
6×exp-sum rem-exp-log
5×pow1 pow-unpow add-exp-log
4×add-cbrt-cube diff-log insert-posit16
3×cbrt-prod unpow-prod-up sub-neg unpow-prod-down associate--l+ distribute-lft-out-- difference-of-squares
2×sum-log exp-diff pow-exp
1×pow-to-exp e-exp-1 pow-pow pow1/3 pow-sub sqr-pow
Counts
4 → 77
Calls
4 calls:
Slowest
81.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
71.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
34.0ms
(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.0ms
(cbrt x)

series738.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
254.0ms
(cbrt x)
166.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
163.0ms
(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
154.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify8.9s

Counts
53 → 89
Calls
53 calls:
Slowest
529.0ms
(+ (* t (* (log a) (exp (- (* 1.0 (log a)))))) (+ (exp (- (* 1.0 (log a)))) (* (log z) (* (exp (- (* 1.0 (log a)))) y))))
527.0ms
(+ (* t (* (log a) (exp (- (* 1.0 (log a)))))) (+ (exp (- (* 1.0 (log a)))) (* (log z) (* (exp (- (* 1.0 (log a)))) y))))
520.0ms
(+ (* t (* (log a) (exp (- (* 1.0 (log a)))))) (+ (exp (- (* 1.0 (log a)))) (* (log z) (* (exp (- (* 1.0 (log a)))) y))))
323.0ms
(* (log E) (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
315.0ms
(* 1 (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

prune2.2s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.5b

regimes2.5s

Accuracy

0% (0.4b remaining)

Error of 1.0b against oracle of 0.6b and baseline of 1.0b

bsearch14.0ms

end0.0ms

sample16.0s

Algorithm
intervals
Results
9.0s45505×body80nan
2.9s15228×body80valid