Details

Time bar (total: 1.8m)

sample521.0ms

Algorithm
intervals
Results
259.0ms1865×body80nan
112.0ms548×body80valid

simplify204.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
203.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

prune41.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.9b

localize60.0ms

Local error

Found 4 expressions with local error:

2.5b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.9b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.3b
(* y (log z))
0.1b
(* (- t 1.0) (log a))

rewrite344.0ms

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
247.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
72.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
16.0ms
(* (- t 1.0) (log a))
7.0ms
(* y (log z))

series542.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
273.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
148.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
67.0ms
(* (- t 1.0) (log a))
53.0ms
(* y (log z))

simplify13.0s

Counts
83 → 128
Calls
83 calls:
Slowest
1.0s
(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))))))
539.0ms
(- (+ (* t (log -1)) (* 1.0 (log (/ -1 a)))) (+ (* t (log (/ -1 a))) (* 1.0 (log -1))))
464.0ms
(/ (* x (exp (- (* 1.0 (log (/ 1 a))) (+ (* (log (/ 1 z)) y) (+ b (* t (log (/ 1 a)))))))) y)
435.0ms
(exp (fma 1 (+ (* y (log z)) (* (- t 1.0) (log a))) (- (* (cbrt b) (* (cbrt b) (cbrt b))))))
419.0ms
(/ (* (* (* 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))

prune2.2s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.8b

localize88.0ms

Local error

Found 4 expressions with local error:

2.1b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (* (cbrt y) (cbrt y)))
0.9b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite337.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt *-un-lft-identity
14×add-exp-log
13×add-cube-cbrt
12×add-cbrt-cube exp-sum
10×add-log-exp
9×prod-diff
6×cbrt-prod
5×exp-prod
4×expm1-log1p-u pow1 cbrt-undiv div-exp prod-exp cbrt-unprod insert-posit16 log1p-expm1-u
3×rem-exp-log
2×exp-diff pow1/3 diff-log
1×clear-num associate-/r* sum-log sub-neg frac-2neg times-frac associate--l+ associate-*r/ div-inv associate-/l* distribute-lft-out-- difference-of-squares associate-/l/
Counts
4 → 84
Calls
4 calls:
Slowest
245.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (* (cbrt y) (cbrt y)))
87.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.2s

Counts
4 → 12
Calls
4 calls:
Slowest
371.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (* (cbrt y) (cbrt y)))
320.0ms
(cbrt y)
319.0ms
(cbrt y)
166.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify12.2s

Counts
51 → 96
Calls
51 calls:
Slowest
929.0ms
(/ (* (* (* 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)))) (* (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))))
829.0ms
(/ (* (* (* 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)))) (* (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))))
554.0ms
(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))))))
532.0ms
(- (+ (log x) (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)) (+ (log (cbrt y)) (log (cbrt y))))
474.0ms
(- (+ (log x) (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)) (log (* (cbrt y) (cbrt y))))

prune1.9s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 0.7b

localize44.0ms

Local error

Found 4 expressions with local error:

0.9b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.7b
(/ x (/ (* (cbrt y) (cbrt y)) (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite198.0ms

Algorithm
rewrite-expression-head
Rules
120×times-frac
68×add-sqr-sqrt *-un-lft-identity
66×add-cube-cbrt
60×exp-sum
45×prod-diff
20×associate-/r*
11×add-cbrt-cube add-exp-log
10×add-log-exp
6×cbrt-prod
5×cbrt-undiv exp-prod sub-neg exp-diff div-exp associate--l+ associate-/r/ div-inv
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u
3×associate-/l* rem-exp-log
2×pow1/3 diff-log
1×clear-num sum-log frac-2neg prod-exp cbrt-unprod distribute-lft-out-- difference-of-squares
Counts
4 → 162
Calls
4 calls:
Slowest
101.0ms
(/ x (/ (* (cbrt y) (cbrt y)) (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
89.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.2s

Counts
4 → 12
Calls
4 calls:
Slowest
426.0ms
(/ x (/ (* (cbrt y) (cbrt y)) (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
324.0ms
(cbrt y)
313.0ms
(cbrt y)
140.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify43.4s

Counts
188 → 174
Calls
188 calls:
Slowest
774.0ms
(exp (* (cbrt (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)) (cbrt (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
654.0ms
(/ (sqrt x) (/ (cbrt y) (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)))) (- (* (sqrt b) (sqrt b)))))))
622.0ms
(/ (* (* x x) x) (/ (* (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (* (* (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)))))
617.0ms
(/ (* (cbrt x) (cbrt x)) (/ (cbrt y) (exp (fma (sqrt (+ (* y (log z)) (* (- t 1.0) (log a)))) (sqrt (+ (* y (log z)) (* (- t 1.0) (log a)))) (- (* (cbrt b) (* (cbrt b) (cbrt b))))))))
612.0ms
(/ 1 (sqrt (/ (* (cbrt y) (cbrt y)) (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))))

prune3.7s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 0.7b

localize68.0ms

Local error

Found 4 expressions with local error:

0.9b
(exp (fma (- t 1.0) (log a) (- (* y (log z)) b)))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×add-log-exp
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u
3×exp-prod pow1/3
1×exp-sum fma-udef rem-exp-log
Counts
4 → 57
Calls
4 calls:
Slowest
2.0ms
(exp (fma (- t 1.0) (log a) (- (* y (log z)) b)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series977.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
283.0ms
(cbrt x)
275.0ms
(cbrt x)
268.0ms
(cbrt x)
151.0ms
(exp (fma (- t 1.0) (log a) (- (* y (log z)) b)))

simplify2.3s

Counts
26 → 69
Calls
26 calls:
Slowest
336.0ms
(exp (* (cbrt (fma (- t 1.0) (log a) (- (* y (log z)) b))) (cbrt (fma (- t 1.0) (log a) (- (* y (log z)) b)))))
328.0ms
(exp (- (* 1.0 (log (/ 1 a))) (+ (* (log (/ 1 z)) y) (+ b (* t (log (/ 1 a)))))))
297.0ms
(exp (sqrt (fma (- t 1.0) (log a) (- (* y (log z)) b))))
248.0ms
(fma (- t 1.0) (log a) (- (* y (log z)) b))
237.0ms
(exp (- (+ (* y (log -1)) (+ (* 1.0 (log (/ -1 a))) (* t (log -1)))) (+ b (+ (* t (log (/ -1 a))) (+ (* y (log (/ -1 z))) (* 1.0 (log -1)))))))

prune1.5s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 0.6b

regimes3.0s

Accuracy

0% (0.5b remaining)

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

bsearch9.0ms

end0.0ms

sample16.9s

Algorithm
intervals
Results
9.0s46605×body80nan
3.3s15368×body80valid