Details

Time bar (total: 2.8m)

sample564.0ms

Algorithm
intervals
Results
296.0ms1515×body80nan
114.0ms508×body80valid

simplify563.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
562.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

prune35.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.8b

localize49.0ms

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))

rewrite309.0ms

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
158.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
115.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
20.0ms
(* (- t 1.0) (log a))
14.0ms
(* y (log z))

series548.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
249.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
163.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
77.0ms
(* (- t 1.0) (log a))
59.0ms
(* y (log z))

simplify20.2s

Counts
154 → 128
Calls
154 calls:
Slowest
841.0ms
(* (* (* (- t 1.0) (log a)) (* (- t 1.0) (log a))) (* (- t 1.0) (log a)))
517.0ms
(* (* (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)))
501.0ms
(- (+ (* t (log -1)) (* 1.0 (log (/ -1 a)))) (+ (* t (log (/ -1 a))) (* 1.0 (log -1))))
481.0ms
(exp (fma (* (cbrt (+ (* y (log z)) (* (- t 1.0) (log a)))) (cbrt (+ (* y (log z)) (* (- t 1.0) (log a))))) (cbrt (+ (* y (log z)) (* (- t 1.0) (log a)))) (- (* (cbrt b) (* (cbrt b) (cbrt b))))))
472.0ms
(/ (* x (exp (- (* 1.0 (log (/ 1 a))) (+ (* (log (/ 1 z)) y) (+ b (* t (log (/ 1 a)))))))) y)

prune2.1s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.7b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite701.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt *-un-lft-identity add-cbrt-cube
17×add-cube-cbrt
16×add-exp-log
12×exp-sum
10×add-log-exp
9×associate-/r* times-frac prod-diff
6×cbrt-undiv div-exp
5×exp-prod
4×expm1-log1p-u pow1 exp-diff insert-posit16 log1p-expm1-u
3×clear-num frac-2neg prod-exp associate-*r/ cbrt-unprod div-inv associate-/l* rem-exp-log associate-/l/
2×diff-log
1×sum-log sub-neg associate--l+ distribute-lft-out-- difference-of-squares
Counts
4 → 106
Calls
4 calls:
Slowest
229.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
211.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
186.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
73.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series912.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
290.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
252.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
228.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
141.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify29.6s

Counts
140 → 118
Calls
140 calls:
Slowest
657.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (* (cbrt y) (cbrt y)))
602.0ms
(* (* (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)))
491.0ms
(/ (* x (exp (- (* 1.0 (log (/ 1 a))) (+ (* (log (/ 1 z)) y) (+ b (* t (log (/ 1 a)))))))) y)
485.0ms
(/ (* x (exp (- (* 1.0 (log (/ 1 a))) (+ (* (log (/ 1 z)) y) (+ b (* t (log (/ 1 a)))))))) y)
463.0ms
(exp (fma (* (cbrt (+ (* y (log z)) (* (- t 1.0) (log a)))) (cbrt (+ (* y (log z)) (* (- t 1.0) (log a))))) (cbrt (+ (* y (log z)) (* (- t 1.0) (log a)))) (- (* (cbrt b) (* (cbrt b) (cbrt b))))))

prune2.5s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.6b

localize113.0ms

Local error

Found 4 expressions with local error:

0.9b
(* (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (/ 1 y))
0.9b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
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))

rewrite1.4s

Algorithm
rewrite-expression-head
Rules
30×add-exp-log
26×add-cbrt-cube
24×add-sqr-sqrt *-un-lft-identity
22×add-cube-cbrt
15×times-frac
14×prod-exp
13×associate-*r*
12×exp-sum
10×add-log-exp
9×pow1 prod-diff
8×div-exp cbrt-unprod
6×cbrt-undiv associate-/r*
5×exp-prod exp-diff associate-*r/
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×pow-prod-down div-inv rem-exp-log
2×rec-exp clear-num frac-2neg diff-log 1-exp associate-/l* associate-/l/
1×frac-times sum-log sub-neg associate-*l* associate-*l/ associate--l+ un-div-inv *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 124
Calls
4 calls:
Slowest
841.0ms
(* (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (/ 1 y))
231.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
193.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
87.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series882.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
248.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
247.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
245.0ms
(* (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (/ 1 y))
142.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify35.9s

Counts
153 → 136
Calls
153 calls:
Slowest
659.0ms
(exp (fma (* (cbrt (+ (* y (log z)) (* (- t 1.0) (log a)))) (cbrt (+ (* y (log z)) (* (- t 1.0) (log a))))) (cbrt (+ (* y (log z)) (* (- t 1.0) (log a)))) (- (* b 1))))
650.0ms
(* (* (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)))
626.0ms
(log1p (* (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (/ 1 y)))
521.0ms
(exp (fma (* (cbrt (+ (* y (log z)) (* (- t 1.0) (log a)))) (cbrt (+ (* y (log z)) (* (- t 1.0) (log a))))) (cbrt (+ (* y (log z)) (* (- t 1.0) (log a)))) (- (* (cbrt b) (* (cbrt b) (cbrt b))))))
507.0ms
(+ (+ (log x) (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)) (- 0 (log y)))

prune3.2s

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.6b

localize90.0ms

Local error

Found 4 expressions with local error:

0.9b
(* (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (/ 1 y))
0.9b
(* (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (/ 1 y))
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))

rewrite1.9s

Algorithm
rewrite-expression-head
Rules
44×add-exp-log
33×add-cbrt-cube
29×add-sqr-sqrt *-un-lft-identity
27×add-cube-cbrt
26×associate-*r*
25×prod-exp
21×times-frac
14×pow1
13×cbrt-unprod
12×exp-sum
10×div-exp add-log-exp
9×prod-diff
7×associate-*r/
6×cbrt-undiv exp-diff pow-prod-down
5×exp-prod
4×expm1-log1p-u rec-exp 1-exp insert-posit16 log1p-expm1-u
3×associate-/r* div-inv rem-exp-log
2×frac-times diff-log associate-*l* associate-*l/ un-div-inv *-commutative
1×clear-num sum-log sub-neg frac-2neg associate--l+ associate-/l* distribute-lft-out-- difference-of-squares associate-/l/
Counts
4 → 142
Calls
4 calls:
Slowest
810.0ms
(* (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (/ 1 y))
769.0ms
(* (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (/ 1 y))
218.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
86.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series877.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
254.0ms
(* (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (/ 1 y))
227.0ms
(* (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (/ 1 y))
212.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
184.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify41.8s

Counts
166 → 154
Calls
166 calls:
Slowest
631.0ms
(* (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
616.0ms
(* (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) 1)
553.0ms
(* (* (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)))
527.0ms
(/ (* (* (* 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))
520.0ms
(+ (+ (log x) (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)) (- 0 (log y)))

prune3.5s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.6b

regimes2.0s

Accuracy

0% (1.2b remaining)

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

bsearch10.0ms

end0.0ms

sample15.7s

Algorithm
intervals
Results
8.5s44579×body80nan
3.2s14982×body80valid