Details

Time bar (total: 4.7s)

sample19.0ms

Algorithm
intervals
Results
6.0ms54×body1280valid
3.0ms41×body640valid
3.0ms125×body80valid
1.0ms19×body320valid
1.0ms17×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1104
2104

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.3b

localize5.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.5b
(cbrt x)
5.4b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
64×cbrt-prod
56×*-un-lft-identity
42×prod-diff
41×add-sqr-sqrt
33×add-cube-cbrt
9×distribute-lft-out
7×fma-neg
5×add-log-exp
4×difference-of-squares
3×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u distribute-lft-out--
2×cbrt-div pow1/3
1×sub-neg flip3-- flip3-+ diff-log flip-- flip-+
Counts
3 → 99
Calls
3 calls:
3.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
10.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series415.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(cbrt (+ x 1.0))
179.0ms
(cbrt x)
148.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify53.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04301315
113941045
25001981

prune242.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 19.2b

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.5b
(cbrt x)
4.7b
(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
5.4b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
117×cbrt-prod
104×*-un-lft-identity
84×prod-diff
78×add-sqr-sqrt
62×add-cube-cbrt
47×log-prod
44×exp-sum
16×distribute-lft-out
11×log-pow
10×exp-prod
8×difference-of-squares
7×fma-neg
6×distribute-lft-out-- add-log-exp
5×pow1
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
2×sub-neg cbrt-div pow1/3
1×log-div flip3-- flip3-+ exp-diff diff-log rem-log-exp flip-- flip-+
Counts
4 → 168
Calls
4 calls:
3.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
14.0ms
(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
11.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series568.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(cbrt (+ x 1.0))
178.0ms
(cbrt x)
152.0ms
(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
149.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify71.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05672459
116511917
250011581

prune395.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 19.2b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
0.3b
(cbrt (cbrt (+ x 1.0)))
0.5b
(cbrt x)
31.3b
(fma (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (- (cbrt x)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
38×cbrt-prod
31×*-un-lft-identity
23×add-sqr-sqrt
16×cbrt-div
15×add-cube-cbrt
11×pow1
9×swap-sqr
8×pow1/3
7×flip3-+ associate-*r* associate-*l* flip-+ distribute-lft-out
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod fma-udef
Counts
4 → 97
Calls
4 calls:
10.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
7.0ms
(cbrt (cbrt (+ x 1.0)))
1.0ms
(cbrt x)
1.0ms
(fma (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (- (cbrt x)))

series625.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
88.0ms
(cbrt (cbrt (+ x 1.0)))
179.0ms
(cbrt x)
255.0ms
(fma (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (- (cbrt x)))

simplify55.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0532894
11786835
25001770

prune391.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 19.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
0.3b
(cbrt (cbrt (+ x 1.0)))
0.5b
(cbrt x)
31.3b
(fma (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (- (cbrt x)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
38×cbrt-prod
31×*-un-lft-identity
23×add-sqr-sqrt
16×cbrt-div
15×add-cube-cbrt
11×pow1
9×swap-sqr
8×pow1/3
7×flip3-+ associate-*r* associate-*l* flip-+ distribute-lft-out
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod fma-udef
Counts
4 → 97
Calls
4 calls:
11.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
4.0ms
(cbrt (cbrt (+ x 1.0)))
2.0ms
(cbrt x)
1.0ms
(fma (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (- (cbrt x)))

series620.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
87.0ms
(cbrt (cbrt (+ x 1.0)))
173.0ms
(cbrt x)
252.0ms
(fma (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (- (cbrt x)))

simplify55.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0532894
11786835
25001770

prune378.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 19.1b

regimes108.0ms

Accuracy

97.9% (0.2b remaining)

Error of 19.1b against oracle of 18.9b and baseline of 30.1b

bsearch85.0ms

Steps
ItersRangePoint
9
6.164824567421913
3268324.1998729478
4007.8839921622375
9
-1.0380892070036822e+64
-2.2440161807904875e+58
-4.478863880714064e+61

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04426
14426

end0.0ms

sample519.0ms

Algorithm
intervals
Results
180.0ms1763×body1280valid
100.0ms1259×body640valid
93.0ms4087×body80valid
34.0ms583×body320valid
12.0ms308×body160valid