Details

Time bar (total: 2.9s)

sample22.0ms

Algorithm
intervals
Results
9.0ms334×body80valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0163
1363
2803
31233
41413
51433
61433

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.3b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- x z))
6.9b
(* t (* y (- x z)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
55×distribute-rgt-in distribute-lft-in
54×prod-diff
45×add-sqr-sqrt
43×*-un-lft-identity
41×add-cube-cbrt
9×pow1 add-exp-log add-cbrt-cube
6×sub-neg associate-*r/ associate-*r* associate-*l*
4×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 112
Calls
2 calls:
22.0ms
(* y (- x z))
37.0ms
(* t (* y (- x z)))

series70.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* y (- x z))
40.0ms
(* t (* y (- x z)))

simplify48.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04021084
11572663
25001645

prune154.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

5.0b
(* (* t y) (- x z))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
18×prod-diff
16×add-sqr-sqrt *-un-lft-identity
14×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
3×pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- associate-*l* *-commutative flip-- log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 46
Calls
1 calls:
31.0ms
(* (* t y) (- x z))

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(* (* t y) (- x z))

simplify37.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0303430
11277281
25002269

prune93.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

3.5b
(* (* t y) x)
3.8b
(* (* t y) (- z))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
13×associate-*r*
12×pow1 add-exp-log add-cbrt-cube
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-neg-in distribute-rgt-neg-in
2×expm1-log1p-u associate-*l* *-commutative log1p-expm1-u add-log-exp
1×neg-mul-1 distribute-rgt-neg-out
Counts
2 → 48
Calls
2 calls:
18.0ms
(* (* t y) x)
21.0ms
(* (* t y) (- z))

series44.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(* (* t y) x)
22.0ms
(* (* t y) (- z))

simplify38.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0224199
11208169
25001169

prune160.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* t (+ (* 1 (pow (cbrt x) 3)) (- z)))
0.5b
(cbrt x)
0.7b
(pow (cbrt x) 3)
6.1b
(* (* t (+ (* 1 (pow (cbrt x) 3)) (- z))) y)

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt *-un-lft-identity
13×add-cube-cbrt
12×pow1 add-exp-log
11×add-cbrt-cube
9×cbrt-prod
8×associate-*r*
6×unpow-prod-down cube-prod
4×expm1-log1p-u associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×pow-unpow
2×pow-pow flip3-+ pow1/3 associate-*l/ *-commutative flip-+ distribute-lft-out
1×distribute-rgt-in cube-mult pow-to-exp distribute-rgt-neg-in distribute-lft-in unpow3 pow-exp rem-cube-cbrt unswap-sqr sqr-pow
Counts
4 → 93
Calls
4 calls:
45.0ms
(* t (+ (* 1 (pow (cbrt x) 3)) (- z)))
1.0ms
(cbrt x)
3.0ms
(pow (cbrt x) 3)
63.0ms
(* (* t (+ (* 1 (pow (cbrt x) 3)) (- z))) y)

series467.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* t (+ (* 1 (pow (cbrt x) 3)) (- z)))
167.0ms
(cbrt x)
195.0ms
(pow (cbrt x) 3)
58.0ms
(* (* t (+ (* 1 (pow (cbrt x) 3)) (- z))) y)

simplify74.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
0366497
12141355
25002351

prune395.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes205.0ms

Accuracy

51.6% (3.3b remaining)

Error of 3.3b against oracle of 0.0b and baseline of 6.8b

bsearch110.0ms

Steps
ItersRangePoint
10
1.0066702842540959e+105
2.3464143781875367e+115
1.016311074814691e+105
9
-4.364775586077996e+59
-1.3700703999978084e+50
-1.1416158960993196e+55

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04619
15419
26119
36119

end0.0ms

sample592.0ms

Algorithm
intervals
Results
306.0ms10682×body80valid