Details

Time bar (total: 1.0m)

sample54.0ms

Algorithm
intervals
Results
19.0ms52×body1280valid
8.0ms31×body640valid
8.0ms137×body80valid
7.0ms22×body320valid
2.0ms14×body160valid

simplify134.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
134.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.9b

localize13.0ms

Local error

Found 3 expressions with local error:

3.5b
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0b
(/ 2 (+ 1 (exp (* -2 x))))
0.0b
(+ 1 (exp (* -2 x)))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
101×*-un-lft-identity
74×add-sqr-sqrt
63×times-frac add-cube-cbrt
54×prod-diff
18×fma-neg
17×distribute-lft-out
10×associate-/r/
8×add-exp-log
7×add-log-exp
6×flip3-+ flip-+
5×add-cbrt-cube div-inv
4×associate-/r* difference-of-squares
3×expm1-log1p-u pow1 fma-def insert-posit16 log1p-expm1-u associate-/l*
2×expm1-def difference-of-sqr-1 div-exp
1×cbrt-undiv +-commutative clear-num sum-log sub-neg frac-2neg flip3-- diff-log flip-- distribute-lft-out--
Counts
3 → 150
Calls
3 calls:
Slowest
99.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
14.0ms
(+ 1 (exp (* -2 x)))
12.0ms
(/ 2 (+ 1 (exp (* -2 x))))

series121.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
80.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
26.0ms
(/ 2 (+ 1 (exp (* -2 x))))
14.0ms
(+ 1 (exp (* -2 x)))

simplify21.9s

Counts
185 → 159
Calls
185 calls:
Slowest
572.0ms
(/ 2 (- (* 1 1) (* (exp (* -2 x)) (exp (* -2 x)))))
413.0ms
(fma (/ 2 (+ (pow 1 3) (pow (exp (* -2 x)) 3))) (+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x))))) (- (* 1 1)))
402.0ms
(+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x)))))
364.0ms
(fma (/ 2 (- (* 1 1) (* (exp (* -2 x)) (exp (* -2 x))))) (- 1 (exp (* -2 x))) (- (* (cbrt 1) (* (cbrt 1) (cbrt 1)))))
364.0ms
(fma (/ 2 (+ (pow 1 3) (pow (exp (* -2 x)) 3))) (+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x))))) (- (* (sqrt 1) (sqrt 1))))

prune1.6s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

3.5b
(- (/ 2 (+ (exp (* -2 x)) 1)) 1)
0.0b
(/ 2 (+ (exp (* -2 x)) 1))
0.0b
(+ (exp (* -2 x)) 1)

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
101×*-un-lft-identity
74×add-sqr-sqrt
63×times-frac add-cube-cbrt
54×prod-diff
18×fma-neg
17×distribute-lft-out
10×associate-/r/
8×add-exp-log
7×add-log-exp
6×flip3-+ flip-+
5×add-cbrt-cube div-inv
4×associate-/r* difference-of-squares
3×expm1-log1p-u pow1 fma-def insert-posit16 log1p-expm1-u associate-/l*
2×expm1-def difference-of-sqr-1 div-exp
1×cbrt-undiv +-commutative clear-num sum-log sub-neg frac-2neg flip3-- diff-log flip-- distribute-lft-out--
Counts
3 → 150
Calls
3 calls:
Slowest
124.0ms
(- (/ 2 (+ (exp (* -2 x)) 1)) 1)
21.0ms
(/ 2 (+ (exp (* -2 x)) 1))
10.0ms
(+ (exp (* -2 x)) 1)

series156.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
95.0ms
(- (/ 2 (+ (exp (* -2 x)) 1)) 1)
43.0ms
(/ 2 (+ (exp (* -2 x)) 1))
18.0ms
(+ (exp (* -2 x)) 1)

simplify22.5s

Counts
185 → 159
Calls
185 calls:
Slowest
755.0ms
(/ 2 (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 1)))
581.0ms
(fma (* (cbrt (/ 2 (+ (exp (* -2 x)) 1))) (cbrt (/ 2 (+ (exp (* -2 x)) 1)))) (cbrt (/ 2 (+ (exp (* -2 x)) 1))) (- (* 1 1)))
450.0ms
(fma (/ 2 (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 1))) (- (exp (* -2 x)) 1) (- (* (sqrt 1) (sqrt 1))))
373.0ms
(/ (* (* 2 2) 2) (* (* (+ (exp (* -2 x)) 1) (+ (exp (* -2 x)) 1)) (+ (exp (* -2 x)) 1)))
370.0ms
(fma (/ 2 (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 1))) (- (exp (* -2 x)) 1) (- (* 1 1)))

prune1.5s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

15.9b
(fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x))
0.3b
(* x -1/3)
0.0b
(fma 2/15 (pow x 5) x)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
5×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
3×expm1-log1p-u associate-*r* associate-*l* insert-posit16 log1p-expm1-u add-log-exp
2×fma-udef
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 43
Calls
3 calls:
Slowest
6.0ms
(* x -1/3)
0.0ms
(fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x))
0.0ms
(fma 2/15 (pow x 5) x)

series329.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
202.0ms
(fma 2/15 (pow x 5) x)
101.0ms
(fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x))
26.0ms
(* x -1/3)

simplify1.2s

Counts
18 → 52
Calls
18 calls:
Slowest
200.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
182.0ms
(* (* (* x x) x) (* (* -1/3 -1/3) -1/3))
172.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
159.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
139.0ms
(+ x (* 2/15 (pow x 5)))

prune551.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

15.9b
(fma (* x -1/3) (* x x) (* (* (cbrt (fma 2/15 (pow x 5) x)) (cbrt (fma 2/15 (pow x 5) x))) (cbrt (fma 2/15 (pow x 5) x))))
13.7b
(cbrt (fma 2/15 (pow x 5) x))
13.7b
(cbrt (fma 2/15 (pow x 5) x))
13.7b
(cbrt (fma 2/15 (pow x 5) x))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3
1×fma-udef
Counts
4 → 53
Calls
4 calls:
Slowest
1.0ms
(cbrt (fma 2/15 (pow x 5) x))
1.0ms
(cbrt (fma 2/15 (pow x 5) x))
1.0ms
(cbrt (fma 2/15 (pow x 5) x))
0.0ms
(fma (* x -1/3) (* x x) (* (* (cbrt (fma 2/15 (pow x 5) x)) (cbrt (fma 2/15 (pow x 5) x))) (cbrt (fma 2/15 (pow x 5) x))))

series2.8s

Counts
4 → 12
Calls
4 calls:
Slowest
917.0ms
(cbrt (fma 2/15 (pow x 5) x))
909.0ms
(cbrt (fma 2/15 (pow x 5) x))
880.0ms
(cbrt (fma 2/15 (pow x 5) x))
87.0ms
(fma (* x -1/3) (* x x) (* (* (cbrt (fma 2/15 (pow x 5) x)) (cbrt (fma 2/15 (pow x 5) x))) (cbrt (fma 2/15 (pow x 5) x))))

simplify4.9s

Counts
21 → 65
Calls
21 calls:
Slowest
618.0ms
(- (+ (* 2/45 (pow (pow x 13) 1/3)) (pow x 1/3)) (* 4/2025 (pow (pow x 25) 1/3)))
456.0ms
(- (+ (exp (* 1/3 (- (log -2/15) (* 5 (log (/ -1 x)))))) (* 5/2 (/ (exp (* 1/3 (- (log -2/15) (* 5 (log (/ -1 x)))))) (pow x 4)))) (* 25/4 (/ (exp (* 1/3 (- (log -2/15) (* 5 (log (/ -1 x)))))) (pow x 8))))
409.0ms
(cbrt (* (cbrt (fma 2/15 (pow x 5) x)) (cbrt (fma 2/15 (pow x 5) x))))
376.0ms
(cbrt (* (cbrt (fma 2/15 (pow x 5) x)) (cbrt (fma 2/15 (pow x 5) x))))
371.0ms
(- (+ (exp (* 1/3 (- (log -2/15) (* 5 (log (/ -1 x)))))) (* 5/2 (/ (exp (* 1/3 (- (log -2/15) (* 5 (log (/ -1 x)))))) (pow x 4)))) (* 25/4 (/ (exp (* 1/3 (- (log -2/15) (* 5 (log (/ -1 x)))))) (pow x 8))))

prune812.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes144.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 29.4b

bsearch180.0ms

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.1s1716×body1280valid
740.0ms1224×body640valid
363.0ms4090×body80valid
191.0ms636×body320valid
100.0ms334×body160valid