Details

Time bar (total: 2.5m)

sample556.0ms

Algorithm
intervals
Results
288.0ms1610×body80nan
121.0ms482×body80valid

simplify210.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
209.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.2b

localize44.0ms

Local error

Found 4 expressions with local error:

1.2b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.1b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.2b
(* y (log z))
0.1b
(* (- t 1.0) (log a))

rewrite333.0ms

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
211.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
87.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
24.0ms
(* (- t 1.0) (log a))
8.0ms
(* y (log z))

series507.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
257.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
124.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
79.0ms
(* (- t 1.0) (log a))
47.0ms
(* y (log z))

simplify21.6s

Counts
154 → 128
Calls
154 calls:
Slowest
766.0ms
(* (* (* (- t 1.0) (log a)) (* (- t 1.0) (log a))) (* (- t 1.0) (log a)))
615.0ms
(* (* (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)))
507.0ms
(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))))))
497.0ms
(/ (* x (exp (- (* 1.0 (log (/ 1 a))) (+ (* (log (/ 1 z)) y) (+ b (* t (log (/ 1 a)))))))) y)
491.0ms
(- (+ (* t (log -1)) (* 1.0 (log (/ -1 a)))) (+ (* t (log (/ -1 a))) (* 1.0 (log -1))))

prune2.7s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.9b

localize52.0ms

Local error

Found 4 expressions with local error:

1.2b
(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))
0.8b
(* x (/ (exp (- (fma y (log z) (* (- t 1.0) (log a))) b)) y))
0.1b
(* (- t 1.0) (log a))
0.1b
(fma y (log z) (* (- t 1.0) (log a)))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
64×add-sqr-sqrt
57×*-un-lft-identity
53×associate-*r* add-cube-cbrt
48×exp-sum
46×times-frac
36×prod-diff
11×add-cbrt-cube
10×add-exp-log
9×pow1
8×associate-*l*
7×add-log-exp
6×log-prod
5×exp-prod fma-udef
4×expm1-log1p-u sub-neg associate--l+ insert-posit16 log1p-expm1-u
3×distribute-rgt-in distribute-lft-in prod-exp cbrt-unprod unswap-sqr
2×pow-prod-down associate-*l/ *-commutative distribute-lft-out-- difference-of-squares rem-exp-log
1×cbrt-undiv flip3-- exp-diff diff-log div-exp associate-*r/ log-pow div-inv flip--
Counts
4 → 144
Calls
4 calls:
Slowest
51.0ms
(* x (/ (exp (- (fma y (log z) (* (- t 1.0) (log a))) b)) y))
29.0ms
(* (- t 1.0) (log a))
23.0ms
(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))
0.0ms
(fma y (log z) (* (- t 1.0) (log a)))

series583.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
260.0ms
(* x (/ (exp (- (fma y (log z) (* (- t 1.0) (log a))) b)) y))
153.0ms
(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))
92.0ms
(fma y (log z) (* (- t 1.0) (log a)))
78.0ms
(* (- t 1.0) (log a))

simplify35.5s

Counts
174 → 156
Calls
174 calls:
Slowest
776.0ms
(* (* (* (- t 1.0) (log a)) (* (- t 1.0) (log a))) (* (- t 1.0) (log a)))
746.0ms
(- (+ (* y (log -1)) (+ (* t (log -1)) (* 1.0 (log (/ -1 a))))) (+ (* t (log (/ -1 a))) (+ (* y (log (/ -1 z))) (* 1.0 (log -1)))))
594.0ms
(exp (fma (* (cbrt (fma y (log z) (* (- t 1.0) (log a)))) (cbrt (fma y (log z) (* (- t 1.0) (log a))))) (cbrt (fma y (log z) (* (- t 1.0) (log a)))) (- (* (cbrt b) (* (cbrt b) (cbrt b))))))
543.0ms
(- (+ (* t (log -1)) (* 1.0 (log (/ -1 a)))) (+ (* t (log (/ -1 a))) (* 1.0 (log -1))))
538.0ms
(* x (/ (exp (* y (log z))) 1))

prune3.0s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.9b

localize105.0ms

Local error

Found 4 expressions with local error:

1.2b
(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))
1.2b
(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))
1.2b
(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))
0.6b
(cbrt y)

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
36×exp-sum
32×add-sqr-sqrt *-un-lft-identity
27×prod-diff
26×add-cube-cbrt
15×exp-prod
13×add-log-exp
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 distribute-lft-out-- difference-of-squares
1×pow1/3
Counts
4 → 104
Calls
4 calls:
Slowest
33.0ms
(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))
22.0ms
(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))
11.0ms
(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))
1.0ms
(cbrt y)

series752.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
250.0ms
(cbrt y)
184.0ms
(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))
177.0ms
(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))
141.0ms
(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))

simplify27.8s

Counts
151 → 116
Calls
151 calls:
Slowest
696.0ms
(exp (- (* (- t 1.0) (log a)) b))
584.0ms
(exp (fma (* (cbrt (fma y (log z) (* (- t 1.0) (log a)))) (cbrt (fma y (log z) (* (- t 1.0) (log a))))) (cbrt (fma y (log z) (* (- t 1.0) (log a)))) (- (* (cbrt b) (* (cbrt b) (cbrt b))))))
556.0ms
(exp (fma (* (cbrt (fma y (log z) (* (- t 1.0) (log a)))) (cbrt (fma y (log z) (* (- t 1.0) (log a))))) (cbrt (fma y (log z) (* (- t 1.0) (log a)))) (- (* (cbrt b) (* (cbrt b) (cbrt b))))))
514.0ms
(exp (fma (* (cbrt (fma y (log z) (* (- t 1.0) (log a)))) (cbrt (fma y (log z) (* (- t 1.0) (log a))))) (cbrt (fma y (log z) (* (- t 1.0) (log a)))) (- (* (cbrt b) (* (cbrt b) (cbrt b))))))
469.0ms
(exp (fma 1 (fma y (log z) (* (- t 1.0) (log a))) (- (* (cbrt b) (* (cbrt b) (cbrt b))))))

prune2.7s

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 0.8b

localize102.0ms

Local error

Found 4 expressions with local error:

1.2b
(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))
1.2b
(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))
1.2b
(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))
0.6b
(cbrt (cbrt y))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
36×exp-sum
33×add-sqr-sqrt *-un-lft-identity
27×prod-diff add-cube-cbrt
15×exp-prod
13×add-log-exp
9×cbrt-prod
6×rem-exp-log
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u
3×sub-neg exp-diff diff-log associate--l+ fma-udef distribute-lft-out-- difference-of-squares
1×pow1/3
Counts
4 → 107
Calls
4 calls:
Slowest
24.0ms
(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))
12.0ms
(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))
11.0ms
(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))
1.0ms
(cbrt (cbrt y))

series826.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
343.0ms
(cbrt (cbrt y))
173.0ms
(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))
157.0ms
(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))
153.0ms
(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))

simplify29.5s

Counts
157 → 119
Calls
157 calls:
Slowest
754.0ms
(* (pow (cbrt -1) 1/3) (pow (* y -1) 1/9))
645.0ms
(exp (fma (* (cbrt (fma y (log z) (* (- t 1.0) (log a)))) (cbrt (fma y (log z) (* (- t 1.0) (log a))))) (cbrt (fma y (log z) (* (- t 1.0) (log a)))) (- (* (cbrt b) (* (cbrt b) (cbrt b))))))
628.0ms
(exp (fma (* (cbrt (fma y (log z) (* (- t 1.0) (log a)))) (cbrt (fma y (log z) (* (- t 1.0) (log a))))) (cbrt (fma y (log z) (* (- t 1.0) (log a)))) (- (* (cbrt b) (* (cbrt b) (cbrt b))))))
600.0ms
(exp (fma (* (cbrt (fma y (log z) (* (- t 1.0) (log a)))) (cbrt (fma y (log z) (* (- t 1.0) (log a))))) (cbrt (fma y (log z) (* (- t 1.0) (log a)))) (- (* (cbrt b) (* (cbrt b) (cbrt b))))))
481.0ms
(exp (fma 1 (fma y (log z) (* (- t 1.0) (log a))) (- (* (cbrt b) (* (cbrt b) (cbrt b))))))

prune3.0s

Pruning

25 alts after pruning (23 fresh and 2 done)

Merged error: 0.7b

regimes3.0s

Accuracy

0% (0.4b remaining)

Error of 1.1b against oracle of 0.6b and baseline of 1.1b

bsearch5.0ms

end0.0ms

sample16.8s

Algorithm
intervals
Results
9.6s47278×body80nan
3.0s15451×body80valid