Details

Time bar (total: 2.5m)

sample520.0ms

Algorithm
intervals
Results
289.0ms1475×body80nan
118.0ms495×body80valid

simplify206.0ms

Calls
1 calls:
Slowest
205.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite321.0ms

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/
Calls
4 calls:
Slowest
184.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
87.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
33.0ms
(* (- t 1.0) (log a))
14.0ms
(* y (log z))

series499.0ms

Calls
4 calls:
Slowest
222.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
155.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
77.0ms
(* (- t 1.0) (log a))
44.0ms
(* y (log z))

simplify13.1s

Calls
83 calls:
Slowest
683.0ms
(* (- (* t t) (* 1.0 1.0)) (log a))
592.0ms
(- (+ (* t (log -1)) (* 1.0 (log (/ -1 a)))) (+ (* t (log (/ -1 a))) (* 1.0 (log -1))))
581.0ms
(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))))))
490.0ms
(/ (* x (exp (- (* 1.0 (log (/ 1 a))) (+ (* (log (/ 1 z)) y) (+ b (* t (log (/ 1 a)))))))) y)
454.0ms
(/ (* (* (* 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))

prune2.3s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.8b

localize50.0ms

Local error

Found 4 expressions with local error:

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

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity add-cube-cbrt
11×add-cbrt-cube
10×add-exp-log
7×pow1 add-log-exp
6×log-prod exp-sum
4×expm1-log1p-u associate-*r* insert-posit16 log1p-expm1-u
3×distribute-rgt-in exp-prod associate-/r* distribute-lft-in times-frac associate-*l* prod-diff
2×cbrt-undiv exp-diff div-exp prod-exp cbrt-unprod fma-udef rem-exp-log
1×clear-num sub-neg frac-2neg diff-log pow-prod-down associate--l+ associate-*r/ log-pow *-commutative div-inv associate-/l* unswap-sqr associate-/l/
Calls
4 calls:
Slowest
40.0ms
(/ (* x (exp (- (fma (log a) t (- (* y (log z)) b)) (* 1.0 (log a))))) y)
16.0ms
(exp (- (fma (log a) t (- (* y (log z)) b)) (* 1.0 (log a))))
7.0ms
(* y (log z))
0.0ms
(fma (log a) t (- (* y (log z)) b))

series667.0ms

Calls
4 calls:
Slowest
252.0ms
(/ (* x (exp (- (fma (log a) t (- (* y (log z)) b)) (* 1.0 (log a))))) y)
223.0ms
(exp (- (fma (log a) t (- (* y (log z)) b)) (* 1.0 (log a))))
127.0ms
(fma (log a) t (- (* y (log z)) b))
65.0ms
(* y (log z))

simplify9.0s

Calls
54 calls:
Slowest
589.0ms
(exp (fma (* (cbrt (fma (log a) t (- (* y (log z)) b))) (cbrt (fma (log a) t (- (* y (log z)) b)))) (cbrt (fma (log a) t (- (* y (log z)) b))) (- (* (log a) 1.0))))
528.0ms
(exp (fma 1 (fma (log a) t (- (* y (log z)) b)) (- (* (log a) 1.0))))
487.0ms
(/ (* (* (* x (exp (- (fma (log a) t (- (* y (log z)) b)) (* 1.0 (log a))))) (* x (exp (- (fma (log a) t (- (* y (log z)) b)) (* 1.0 (log a)))))) (* x (exp (- (fma (log a) t (- (* y (log z)) b)) (* 1.0 (log a)))))) (* (* y y) y))
438.0ms
(/ (* x (exp (- (* 1.0 (log (/ 1 a))) (+ (* (log (/ 1 z)) y) (+ b (* t (log (/ 1 a)))))))) y)
437.0ms
(- (fma (log a) t (- (* y (log z)) b)) (* 1.0 (log a)))

prune1.6s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.8b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
204×times-frac
109×add-sqr-sqrt
107×*-un-lft-identity add-cube-cbrt
78×exp-sum
39×prod-diff
32×associate-/r*
14×fma-udef
13×sub-neg associate--l+
11×add-cbrt-cube
10×add-exp-log
7×pow1 add-log-exp
6×log-prod
5×exp-diff associate-/r/ div-inv
4×expm1-log1p-u associate-*r* insert-posit16 log1p-expm1-u
3×distribute-rgt-in cbrt-undiv exp-prod distribute-lft-in div-exp associate-*l* associate-/l*
2×rem-exp-log
1×clear-num frac-2neg diff-log pow-prod-down prod-exp log-pow *-commutative cbrt-unprod unswap-sqr
Calls
4 calls:
Slowest
22.0ms
(/ x (/ y (exp (- (fma (log a) t (- (* y (log z)) b)) (* 1.0 (log a))))))
19.0ms
(exp (- (fma (log a) t (- (* y (log z)) b)) (* 1.0 (log a))))
7.0ms
(* y (log z))
0.0ms
(fma (log a) t (- (* y (log z)) b))

series722.0ms

Calls
4 calls:
Slowest
291.0ms
(/ x (/ y (exp (- (fma (log a) t (- (* y (log z)) b)) (* 1.0 (log a))))))
257.0ms
(exp (- (fma (log a) t (- (* y (log z)) b)) (* 1.0 (log a))))
122.0ms
(fma (log a) t (- (* y (log z)) b))
51.0ms
(* y (log z))

simplify1.4m

Calls
272 calls:
Slowest
1.0s
(/ x (/ (cbrt y) (exp (fma (- (log a)) 1.0 (* (log a) 1.0)))))
1.0s
(/ x (/ (sqrt y) (exp (fma (- (log a)) 1.0 (* (log a) 1.0)))))
1.0s
(/ (cbrt x) (/ (sqrt y) (exp (fma (- (log a)) 1.0 (* (log a) 1.0)))))
984.0ms
(/ (sqrt x) (/ (cbrt y) (exp (fma (- (log a)) 1.0 (* (log a) 1.0)))))
965.0ms
(/ (cbrt x) (/ (sqrt y) (exp (fma (- (log a)) 1.0 (* (log a) 1.0)))))

prune4.1s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.7b

localize109.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
18×exp-sum
13×add-log-exp
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×exp-prod prod-diff
6×rem-exp-log
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u
3×cbrt-prod sub-neg exp-diff diff-log associate--l+ fma-udef
1×pow1/3
Calls
4 calls:
Slowest
9.0ms
(exp (- (fma (log a) t (- (* y (log z)) b)) (* 1.0 (log a))))
9.0ms
(exp (- (fma (log a) t (- (* y (log z)) b)) (* 1.0 (log a))))
9.0ms
(exp (- (fma (log a) t (- (* y (log z)) b)) (* 1.0 (log a))))
1.0ms
(cbrt y)

series959.0ms

Calls
4 calls:
Slowest
251.0ms
(cbrt y)
243.0ms
(exp (- (fma (log a) t (- (* y (log z)) b)) (* 1.0 (log a))))
236.0ms
(exp (- (fma (log a) t (- (* y (log z)) b)) (* 1.0 (log a))))
229.0ms
(exp (- (fma (log a) t (- (* y (log z)) b)) (* 1.0 (log a))))

simplify13.1s

Calls
51 calls:
Slowest
691.0ms
(exp (sqrt (- (fma (log a) t (- (* y (log z)) b)) (* 1.0 (log a)))))
593.0ms
(exp (fma (* (cbrt (fma (log a) t (- (* y (log z)) b))) (cbrt (fma (log a) t (- (* y (log z)) b)))) (cbrt (fma (log a) t (- (* y (log z)) b))) (- (* (log a) 1.0))))
580.0ms
(exp (fma (* (cbrt (fma (log a) t (- (* y (log z)) b))) (cbrt (fma (log a) t (- (* y (log z)) b)))) (cbrt (fma (log a) t (- (* y (log z)) b))) (- (* (log a) 1.0))))
565.0ms
(exp (fma 1 (fma (log a) t (- (* y (log z)) b)) (- (* (log a) 1.0))))
561.0ms
(exp (fma 1 (fma (log a) t (- (* y (log z)) b)) (- (* (log a) 1.0))))

prune2.3s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.7b

regimes2.3s

Accuracy

0% (0.4b remaining)

Error of 1.1b against oracle of 0.7b and baseline of 1.1b

bsearch14.0ms

end0.0ms

sample16.1s

Algorithm
intervals
Results
9.4s45339×body80nan
3.9s14986×body80valid