Details

Time bar (total: 6.3s)

sample43.0ms

Algorithm
intervals
Results
20.0ms423×body80valid

simplify150.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (148.0ms)

IterNodesCost
0389
11039
23279
39219
419969
548419
650018

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.4b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
0.1b
(fma x (* 9.0 y) b)
4.3b
(/ (* t a) c)
10.0b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×times-frac
4×pow1 cbrt-undiv expm1-log1p-u div-exp associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×frac-2neg prod-exp clear-num cbrt-unprod fma-udef div-inv
Counts
4 → 66
Calls
4 calls:
1.0ms
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
1.0ms
(fma x (* 9.0 y) b)
5.0ms
(/ (* t a) c)
5.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series342.0ms

Counts
4 → 12
Calls
4 calls:
222.0ms
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
35.0ms
(fma x (* 9.0 y) b)
24.0ms
(/ (* t a) c)
60.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify40.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0284424
11137356
25001355

prune324.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.1b

localize19.0ms

Local error

Found 4 expressions with local error:

4.3b
(/ (* t a) c)
4.7b
(cbrt (fma x (* 9.0 y) b))
4.7b
(cbrt (fma x (* 9.0 y) b))
4.7b
(cbrt (fma x (* 9.0 y) b))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac pow1/3 associate-/r*
2×cbrt-undiv div-exp
1×frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l*
Counts
4 → 62
Calls
4 calls:
5.0ms
(/ (* t a) c)
1.0ms
(cbrt (fma x (* 9.0 y) b))
1.0ms
(cbrt (fma x (* 9.0 y) b))
1.0ms
(cbrt (fma x (* 9.0 y) b))

series512.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ (* t a) c)
164.0ms
(cbrt (fma x (* 9.0 y) b))
162.0ms
(cbrt (fma x (* 9.0 y) b))
164.0ms
(cbrt (fma x (* 9.0 y) b))

simplify109.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (103.0ms)

IterNodesCost
0212385
1777346
23779340
35001331

prune364.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.1b

localize21.0ms

Local error

Found 4 expressions with local error:

4.2b
(/ c (* t a))
4.7b
(cbrt (fma x (* 9.0 y) b))
4.7b
(cbrt (fma x (* 9.0 y) b))
4.7b
(cbrt (fma x (* 9.0 y) b))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac pow1/3 associate-/l*
2×cbrt-undiv div-exp
1×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 62
Calls
4 calls:
7.0ms
(/ c (* t a))
1.0ms
(cbrt (fma x (* 9.0 y) b))
1.0ms
(cbrt (fma x (* 9.0 y) b))
1.0ms
(cbrt (fma x (* 9.0 y) b))

series510.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(/ c (* t a))
159.0ms
(cbrt (fma x (* 9.0 y) b))
164.0ms
(cbrt (fma x (* 9.0 y) b))
161.0ms
(cbrt (fma x (* 9.0 y) b))

simplify64.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (57.0ms)

IterNodesCost
0205386
1628347
22433341
35002335

prune387.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 4.1b

localize22.0ms

Local error

Found 4 expressions with local error:

4.7b
(cbrt (fma x (* 9.0 y) b))
4.7b
(cbrt (fma x (* 9.0 y) b))
4.7b
(cbrt (fma x (* 9.0 y) b))
5.5b
(* (/ 1 t) (/ c a))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
26×add-exp-log
25×times-frac
23×*-un-lft-identity
21×add-cube-cbrt
16×add-cbrt-cube
13×associate-*r* associate-*l*
9×cbrt-prod
8×div-exp prod-exp
6×pow1 unswap-sqr
4×cbrt-undiv expm1-log1p-u cbrt-unprod log1p-expm1-u add-log-exp
3×pow1/3
2×rec-exp 1-exp div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 97
Calls
4 calls:
1.0ms
(cbrt (fma x (* 9.0 y) b))
1.0ms
(cbrt (fma x (* 9.0 y) b))
1.0ms
(cbrt (fma x (* 9.0 y) b))
11.0ms
(* (/ 1 t) (/ c a))

series513.0ms

Counts
4 → 12
Calls
4 calls:
163.0ms
(cbrt (fma x (* 9.0 y) b))
165.0ms
(cbrt (fma x (* 9.0 y) b))
160.0ms
(cbrt (fma x (* 9.0 y) b))
25.0ms
(* (/ 1 t) (/ c a))

simplify56.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0426599
11787525
25001510

prune459.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 4.1b

regimes934.0ms

Accuracy

51.2% (4.0b remaining)

Error of 7.9b against oracle of 3.9b and baseline of 12.1b

bsearch157.0ms

Steps
ItersRangePoint
7
8.011735395639846e+56
2.2451108089641557e+58
1.0495708712961845e+57
9
-1598702.0257877964
-0.41521554287478857
-15.477158198947013

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03716
13716

end0.0ms

sample1.2s

Algorithm
intervals
Results
630.0ms12864×body80valid