Details

Time bar (total: 6.9s)

sample60.0ms

Algorithm
intervals
Results
20.0ms372×body80nan
19.0ms359×body80valid

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03712
18412
224512
358112
4128012
5246212
6500112

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
0.2b
(* (- x 0.5) (log x))
0.2b
(- (* (- x 0.5) (log x)) x)
4.6b
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
22×*-un-lft-identity
20×add-cube-cbrt
12×log-prod
10×add-exp-log add-cbrt-cube
9×pow1 times-frac
8×associate-*l*
7×associate-*r*
6×distribute-rgt-in distribute-lft-in associate--l+ add-log-exp
4×associate-*l/
3×flip3-- associate-/r* flip-- associate-/l*
2×pow-prod-down prod-exp *-commutative cbrt-unprod associate-/l/ unswap-sqr
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-exp clear-num log-pow flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 96
Calls
4 calls:
19.0ms
(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
13.0ms
(* (- x 0.5) (log x))
7.0ms
(- (* (- x 0.5) (log x)) x)
21.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series798.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
252.0ms
(* (- x 0.5) (log x))
426.0ms
(- (* (- x 0.5) (log x)) x)
84.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify57.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0483811
11710730
25001724

prune372.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.3b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
4.6b
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod times-frac
6×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×pow1/3 associate-/r* associate-/l*
2×associate-/l/
1×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv
Counts
4 → 62
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
0.0ms
(cbrt x)
21.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series629.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt x)
181.0ms
(cbrt x)
180.0ms
(cbrt x)
83.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify101.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (95.0ms)

IterNodesCost
0212462
1697420
23321413
35001410

prune380.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.3b

localize36.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
4.6b
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
5.2b
(pow x 1/3)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-exp-log
6×cbrt-prod add-cbrt-cube
5×pow1
4×add-log-exp
3×unpow-prod-down pow-unpow associate-/r* associate-/l*
2×pow1/3 associate-/l/
1×cbrt-undiv pow-to-exp pow-pow frac-2neg flip3-+ unpow1/3 div-exp pow-exp clear-num flip-+ div-inv sqr-pow
Counts
4 → 69
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
21.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
1.0ms
(pow x 1/3)

series633.0ms

Counts
4 → 12
Calls
4 calls:
189.0ms
(cbrt x)
181.0ms
(cbrt x)
88.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
175.0ms
(pow x 1/3)

simplify38.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0268467
11047415
25002409

prune426.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.3b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
4.8b
(* (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) (/ 1 x))
5.2b
(pow x 1/3)

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
17×*-un-lft-identity
16×add-cube-cbrt
14×add-exp-log
13×associate-*r*
11×times-frac
9×add-cbrt-cube
7×pow1
6×cbrt-prod
4×prod-exp add-log-exp
3×unpow-prod-down pow-unpow associate-*l* unswap-sqr
2×frac-times flip3-+ pow1/3 div-exp associate-*l/ cbrt-unprod flip-+
1×cbrt-undiv pow-to-exp rec-exp pow-pow unpow1/3 1-exp associate-*r/ pow-prod-down pow-exp un-div-inv *-commutative div-inv sqr-pow
Counts
4 → 80
Calls
4 calls:
0.0ms
(cbrt x)
1.0ms
(cbrt x)
41.0ms
(* (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) (/ 1 x))
1.0ms
(pow x 1/3)

series639.0ms

Counts
4 → 12
Calls
4 calls:
194.0ms
(cbrt x)
182.0ms
(cbrt x)
87.0ms
(* (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) (/ 1 x))
175.0ms
(pow x 1/3)

simplify54.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0384555
11799473
25001467

prune434.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 4.3b

regimes329.0ms

Accuracy

0% (1.2b remaining)

Error of 6.2b against oracle of 4.9b and baseline of 6.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04121
14121

end0.0ms

sample1.7s

Algorithm
intervals
Results
636.0ms11689×body80valid
541.0ms11542×body80nan